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46030436296 = 23132931094909
BaseRepresentation
bin101010110111101000…
…001011011111001000
311101210221101102220221
4222313220023133020
51223232242430141
633051315555424
73216451152505
oct526750133710
9141727342827
1046030436296
1118580a88099
128b075bbb74
134457546a70
1423294604ac
1512e6132bd1
hexab7a0b7c8

46030436296 has 64 divisors (see below), whose sum is σ = 96201630000. Its totient is φ = 20501462016.

The previous prime is 46030436281. The next prime is 46030436371. The reversal of 46030436296 is 69263403064.

It can be written as a sum of positive squares in 8 ways, for example, as 22617152100 + 23413284196 = 150390^2 + 153014^2 .

It is a super-2 number, since 2×460304362962 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9374290 + ... + 9379198.

Almost surely, 246030436296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46030436296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48100815000).

46030436296 is an abundant number, since it is smaller than the sum of its proper divisors (50171193704).

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

46030436296 is a wasteful number, since it uses less digits than its factorization.

46030436296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8066 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 43.

The spelling of 46030436296 in words is "forty-six billion, thirty million, four hundred thirty-six thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 26 29 52 58 104 116 232 377 754 1508 3016 3109 4909 6218 9818 12436 19636 24872 39272 40417 63817 80834 90161 127634 142361 161668 180322 255268 284722 323336 360644 510536 569444 721288 1138888 1172093 1850693 2344186 3701386 4688372 7402772 9376744 14805544 15262081 30524162 61048324 122096648 198407053 396814106 442600349 793628212 885200698 1587256424 1770401396 3540802792 5753804537 11507609074 23015218148 46030436296