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46158922964 = 22721188724137
BaseRepresentation
bin101010111111010010…
…010100010011010100
311102010220011020111102
4222333102110103110
51224013141013324
633112145525232
73222601241300
oct527722242324
9142126136442
1046158922964
1118637566020
128b42643818
13447805278b
14233c548d00
151302562dae
hexabf4944d4

46158922964 has 72 divisors (see below), whose sum is σ = 102628596672. Its totient is φ = 17962976640.

The previous prime is 46158922961. The next prime is 46158922967. The reversal of 46158922964 is 46922985164.

46158922964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (46158922961) and next prime (46158922967).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46158922961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1900304 + ... + 1924440.

It is an arithmetic number, because the mean of its divisors is an integer number (1425397176).

Almost surely, 246158922964 is an apocalyptic number.

46158922964 is a gapful number since it is divisible by the number (44) 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 46158922964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51314298336).

46158922964 is an abundant number, since it is smaller than the sum of its proper divisors (56469673708).

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

46158922964 is a wasteful number, since it uses less digits than its factorization.

46158922964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25053 (or 25044 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 56.

The spelling of 46158922964 in words is "forty-six billion, one hundred fifty-eight million, nine hundred twenty-two thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 887 1078 1774 2156 3548 6209 9757 12418 19514 24137 24836 39028 43463 48274 68299 86926 96548 136598 168959 173852 265507 273196 337918 478093 531014 675836 956186 1062028 1182713 1858549 1912372 2365426 3717098 4730852 7434196 13009843 21409519 26019686 42819038 52039372 85638076 149866633 235504709 299733266 471009418 599466532 942018836 1049066431 1648532963 2098132862 3297065926 4196265724 6594131852 11539730741 23079461482 46158922964