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157672273216 = 2610148750087
BaseRepresentation
bin1001001011010111111…
…1111111010101000000
3120001222110012101010211
42102311333333111000
510040403100220331
6200233400003504
714251160131513
oct2226577772500
9501873171124
10157672273216
1160960984617
1226684160594
1311b39c373b3
1478ba708d7a
15417c4408b1
hex24b5fff540

157672273216 has 56 divisors (see below), whose sum is σ = 316633896576. Its totient is φ = 77893747200.

The previous prime is 157672273211. The next prime is 157672273277. The reversal of 157672273216 is 612372276751.

It is a super-2 number, since 2×1576722732162 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 157672273216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157672273211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3122925 + ... + 3173011.

Almost surely, 2157672273216 is an apocalyptic number.

157672273216 is a gapful number since it is divisible by the number (16) 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 157672273216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158316948288).

157672273216 is an abundant number, since it is smaller than the sum of its proper divisors (158961623360).

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

157672273216 is a wasteful number, since it uses less digits than its factorization.

157672273216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50687 (or 50677 counting only the distinct ones).

The product of its digits is 1481760, while the sum is 49.

The spelling of 157672273216 in words is "one hundred fifty-seven billion, six hundred seventy-two million, two hundred seventy-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 64 101 202 404 487 808 974 1616 1948 3232 3896 6464 7792 15584 31168 49187 50087 98374 100174 196748 200348 393496 400696 786992 801392 1573984 1602784 3147968 3205568 5058787 10117574 20235148 24392369 40470296 48784738 80940592 97569476 161881184 195138952 323762368 390277904 780555808 1561111616 2463629269 4927258538 9854517076 19709034152 39418068304 78836136608 157672273216