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157023707520 = 2735409119991
BaseRepresentation
bin1001001000111101010…
…1111010000110000000
3120000022020210211021010
42102033111322012000
510033041032120040
6200045151000520
714226123330441
oct2221725720600
9500266724233
10157023707520
1160658875609
1226522b09140
1311a65766204
14785851d2c8
15414052ce80
hex248f57a180

157023707520 has 128 divisors (see below), whose sum is σ = 500660455680. Its totient is φ = 41860659200.

The previous prime is 157023707431. The next prime is 157023707549. The reversal of 157023707520 is 25707320751.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 7844725 + ... + 7864715.

It is an arithmetic number, because the mean of its divisors is an integer number (3911409810).

Almost surely, 2157023707520 is an apocalyptic number.

157023707520 is a gapful number since it is divisible by the number (10) 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 157023707520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250330227840).

157023707520 is an abundant number, since it is smaller than the sum of its proper divisors (343636748160).

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

157023707520 is a wasteful number, since it uses less digits than its factorization.

157023707520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24104 (or 24092 counting only the distinct ones).

The product of its (nonzero) digits is 102900, while the sum is 39.

The spelling of 157023707520 in words is "one hundred fifty-seven billion, twenty-three million, seven hundred seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 4091 8182 12273 16364 19991 20455 24546 32728 39982 40910 49092 59973 61365 65456 79964 81820 98184 99955 119946 122730 130912 159928 163640 196368 199910 239892 245460 261824 299865 319856 327280 392736 399820 479784 490920 523648 599730 639712 654560 785472 799640 959568 981840 1199460 1279424 1309120 1570944 1599280 1919136 1963680 2398920 2558848 2618240 3198560 3838272 3927360 4797840 6397120 7676544 7854720 9595680 12794240 19191360 38382720 81783181 163566362 245349543 327132724 408915905 490699086 654265448 817831810 981398172 1226747715 1308530896 1635663620 1962796344 2453495430 2617061792 3271327240 3925592688 4906990860 5234123584 6542654480 7851185376 9813981720 10468247168 13085308960 15702370752 19627963440 26170617920 31404741504 39255926880 52341235840 78511853760 157023707520