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157583481312 = 25310716394117
BaseRepresentation
bin1001001011000010110…
…1010001100111100000
3120001202021010021112210
42102300231101213200
510040212332400222
6200220504522120
714246031330135
oct2226055214740
9501667107483
10157583481312
1160915848984
122665a480340
1311b247192ca
1478ac9d458c
154174751d0c
hex24b0b519e0

157583481312 has 96 divisors (see below), whose sum is σ = 420088540032. Its totient is φ = 51717118464.

The previous prime is 157583481287. The next prime is 157583481347. The reversal of 157583481312 is 213184385751.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1627278 + ... + 1721394.

It is an arithmetic number, because the mean of its divisors is an integer number (4375922292).

Almost surely, 2157583481312 is an apocalyptic number.

157583481312 is a gapful number since it is divisible by the number (12) 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 157583481312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210044270016).

157583481312 is an abundant number, since it is smaller than the sum of its proper divisors (262505058720).

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

157583481312 is a wasteful number, since it uses less digits than its factorization.

157583481312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94400 (or 94392 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The spelling of 157583481312 in words is "one hundred fifty-seven billion, five hundred eighty-three million, four hundred eighty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 107 163 214 321 326 428 489 642 652 856 978 1284 1304 1712 1956 2568 2608 3424 3912 5136 5216 7824 10272 15648 17441 34882 52323 69764 94117 104646 139528 188234 209292 279056 282351 376468 418584 558112 564702 752936 837168 1129404 1505872 1674336 2258808 3011744 4517616 9035232 10070519 15341071 20141038 30211557 30682142 40282076 46023213 60423114 61364284 80564152 92046426 120846228 122728568 161128304 184092852 241692456 245457136 322256608 368185704 483384912 490914272 736371408 966769824 1472742816 1641494597 3282989194 4924483791 6565978388 9848967582 13131956776 19697935164 26263913552 39395870328 52527827104 78791740656 157583481312