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272379521920 = 27511124930977
BaseRepresentation
bin1111110110101100010…
…1011010101110000000
3222001001121010100210111
43331223011122232000
513430313124200140
6325043542241104
725451550510232
oct3755305325600
9861047110714
10272379521920
11a5574159310
1244957426194
131c8ba73255c
14d27cb46252
1571429137ea
hex3f6b15ab80

272379521920 has 128 divisors (see below), whose sum is σ = 710945100000. Its totient is φ = 98964602880.

The previous prime is 272379521881. The next prime is 272379521929. The reversal of 272379521920 is 29125973272.

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

It is a super-2 number, since 2×2723795219202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272379521929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8777472 + ... + 8808448.

Almost surely, 2272379521920 is an apocalyptic number.

272379521920 is a gapful number since it is divisible by the number (20) 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 272379521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355472550000).

272379521920 is an abundant number, since it is smaller than the sum of its proper divisors (438565578080).

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

272379521920 is a wasteful number, since it uses less digits than its factorization.

272379521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32256 (or 32244 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The spelling of 272379521920 in words is "two hundred seventy-two billion, three hundred seventy-nine million, five hundred twenty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1249 1408 1760 2498 3520 4996 6245 7040 9992 12490 13739 19984 24980 27478 30977 39968 49960 54956 61954 68695 79936 99920 109912 123908 137390 154885 159872 199840 219824 247816 274780 309770 340747 399680 439648 495632 549560 619540 681494 799360 879296 991264 1099120 1239080 1362988 1703735 1758592 1982528 2198240 2478160 2725976 3407470 3965056 4396480 4956320 5451952 6814940 8792960 9912640 10903904 13629880 19825280 21807808 27259760 38690273 43615616 54519520 77380546 109039040 154761092 193451365 218078080 309522184 386902730 425593003 619044368 773805460 851186006 1238088736 1547610920 1702372012 2127965015 2476177472 3095221840 3404744024 4255930030 4952354944 6190443680 6809488048 8511860060 12380887360 13618976096 17023720120 24761774720 27237952192 34047440240 54475904384 68094880480 136189760960 272379521920