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145620008631 = 3321125560823
BaseRepresentation
bin1000011110011110100…
…0001111111010110111
3111220212111201220021000
42013213220033322313
54341212210234011
6150521422054343
713343412436056
oct2074750177267
9456774656230
10145620008631
1156836775879
122427ba1a3b3
13109690037a6
147095ba439d
153bc42e9356
hex21e7a0feb7

145620008631 has 16 divisors (see below), whose sum is σ = 216755787520. Its totient is φ = 96619907160.

The previous prime is 145620008609. The next prime is 145620008687. The reversal of 145620008631 is 136800026541.

It is a happy number.

145620008631 is a `hidden beast` number, since 14 + 5 + 6 + 2 + 0 + 0 + 0 + 8 + 631 = 666.

It is not a de Polignac number, because 145620008631 - 215 = 145619975863 is a prime.

It is a super-2 number, since 2×1456200086312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145620008531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12774715 + ... + 12786108.

It is an arithmetic number, because the mean of its divisors is an integer number (13547236720).

Almost surely, 2145620008631 is an apocalyptic number.

145620008631 is a deficient number, since it is larger than the sum of its proper divisors (71135778889).

145620008631 is a wasteful number, since it uses less digits than its factorization.

145620008631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25561043 (or 25561037 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 145620008631 in words is "one hundred forty-five billion, six hundred twenty million, eight thousand, six hundred thirty-one".

Divisors: 1 3 9 27 211 633 1899 5697 25560823 76682469 230047407 690142221 5393333653 16180000959 48540002877 145620008631