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46034922320 = 2455310857293
BaseRepresentation
bin101010110111111001…
…010010101101010000
311101211020211100120222
4222313321102231100
51223234420003240
633052000052212
73216534245342
oct526771225520
9141736740528
1046034922320
1118583571552
128b09004068
13445845790a
142329cab292
1512e671beb5
hexab7e52b50

46034922320 has 40 divisors (see below), whose sum is σ = 109050660936. Its totient is φ = 18066533888.

The previous prime is 46034922313. The next prime is 46034922337. The reversal of 46034922320 is 2322943064.

It can be written as a sum of positive squares in 4 ways, for example, as 985708816 + 45049213504 = 31396^2 + 212248^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5424407 + ... + 5432886.

Almost surely, 246034922320 is an apocalyptic number.

46034922320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46034922320 is an abundant number, since it is smaller than the sum of its proper divisors (63015738616).

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

46034922320 is a wasteful number, since it uses less digits than its factorization.

46034922320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10857359 (or 10857353 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 46034922320 in words is "forty-six billion, thirty-four million, nine hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 848 1060 2120 4240 10857293 21714586 43429172 54286465 86858344 108572930 173716688 217145860 434291720 575436529 868583440 1150873058 2301746116 2877182645 4603492232 5754365290 9206984464 11508730580 23017461160 46034922320