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157673042464 = 2576746322691
BaseRepresentation
bin1001001011011000001…
…0111011001000100000
3120001222111122110100111
42102312002323020200
510040403244324324
6200233424301104
714251166514310
oct2226602731040
9501874573314
10157673042464
116096135a563
1226684471794
1311b3a146582
1478ba869440
15417c543794
hex24b60bb220

157673042464 has 96 divisors (see below), whose sum is σ = 360852903936. Its totient is φ = 66418894080.

The previous prime is 157673042453. The next prime is 157673042507. The reversal of 157673042464 is 464240376751.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6937359 + ... + 6960049.

It is an arithmetic number, because the mean of its divisors is an integer number (3758884416).

Almost surely, 2157673042464 is an apocalyptic number.

157673042464 is a gapful number since it is divisible by the number (14) 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 157673042464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180426451968).

157673042464 is an abundant number, since it is smaller than the sum of its proper divisors (203179861472).

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

157673042464 is a wasteful number, since it uses less digits than its factorization.

157673042464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23238 (or 23230 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

The spelling of 157673042464 in words is "one hundred fifty-seven billion, six hundred seventy-three million, forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 112 134 224 268 463 469 536 926 938 1072 1852 1876 2144 3241 3704 3752 6482 7408 7504 12964 14816 15008 22691 25928 31021 45382 51856 62042 90764 103712 124084 158837 181528 217147 248168 317674 363056 434294 496336 635348 726112 868588 992672 1270696 1520297 1737176 2541392 3040594 3474352 5082784 6081188 6948704 10505933 10642079 12162376 21011866 21284158 24324752 42023732 42568316 48649504 73541531 84047464 85136632 147083062 168094928 170273264 294166124 336189856 340546528 588332248 703897511 1176664496 1407795022 2353328992 2815590044 4927282577 5631180088 9854565154 11262360176 19709130308 22524720352 39418260616 78836521232 157673042464