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1010981446692 = 223731881440683
BaseRepresentation
bin11101011011000110011…
…00001010010000100100
310120122112000221201100220
432231203030022100210
5113030442222243232
62052234413004340
7133020030336420
oct16554314122044
93518460851326
101010981446692
1135a833741378
12143b277836b0
13744483c83a9
1436d08a87b80
151b47088d42c
hexeb6330a424

1010981446692 has 96 divisors (see below), whose sum is σ = 2786081808384. Its totient is φ = 279216115200.

The previous prime is 1010981446669. The next prime is 1010981446693. The reversal of 1010981446692 is 2966441890101.

It is not an unprimeable number, because it can be changed into a prime (1010981446693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2073783 + ... + 2514465.

It is an arithmetic number, because the mean of its divisors is an integer number (29021685504).

Almost surely, 21010981446692 is an apocalyptic number.

1010981446692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010981446692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393040904192).

1010981446692 is an abundant number, since it is smaller than the sum of its proper divisors (1775100361692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010981446692 is a wasteful number, since it uses less digits than its factorization.

1010981446692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441609 (or 441607 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 1010981446692 in words is "one trillion, ten billion, nine hundred eighty-one million, four hundred forty-six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 186 217 372 434 651 868 881 1302 1762 2604 2643 3524 5286 6167 10572 12334 18501 24668 27311 37002 54622 74004 81933 109244 163866 191177 327732 382354 440683 573531 764708 881366 1147062 1322049 1762732 2294124 2644098 3084781 5288196 6169562 9254343 12339124 13661173 18508686 27322346 37017372 40983519 54644692 81967038 95628211 163934076 191256422 286884633 382512844 388241723 573769266 776483446 1147538532 1164725169 1552966892 2329450338 2717692061 4658900676 5435384122 8153076183 10870768244 12035493413 16306152366 24070986826 32612304732 36106480239 48141973652 72212960478 84248453891 144425920956 168496907782 252745361673 336993815564 505490723346 1010981446692