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2725896985272 = 2332299713458827
BaseRepresentation
bin100111101010101100000…
…111110001101010111000
3100122121000110002101222200
4213222230013301222320
5324130114112012042
65444132040350200
7400640161034256
oct47525407615270
910577013071880
102725896985272
1196105686984a
12380369475360
1316a088016c26
1495d113115d6
154ad9088ac4c
hex27aac1f1ab8

2725896985272 has 96 divisors (see below), whose sum is σ = 7715946092400. Its totient is φ = 868255782912.

The previous prime is 2725896985261. The next prime is 2725896985283.

It is a happy number.

2725896985272 is a `hidden beast` number, since 2 + 7 + 2 + 5 + 8 + 9 + 6 + 98 + 527 + 2 = 666.

2725896985272 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2725896985261) and next prime (2725896985283).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 2725896985272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6526878 + ... + 6931949.

Almost surely, 22725896985272 is an apocalyptic number.

It is an amenable number.

2725896985272 is an abundant number, since it is smaller than the sum of its proper divisors (4990049107128).

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

2725896985272 is a wasteful number, since it uses less digits than its factorization.

2725896985272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13458965 (or 13458958 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 2725896985272 in words is "two trillion, seven hundred twenty-five billion, eight hundred ninety-six million, nine hundred eighty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 97 116 174 194 232 261 291 348 388 522 582 696 776 873 1044 1164 1746 2088 2328 2813 3492 5626 6984 8439 11252 16878 22504 25317 33756 50634 67512 101268 202536 13458827 26917654 40376481 53835308 80752962 107670616 121129443 161505924 242258886 323011848 390305983 484517772 780611966 969035544 1170917949 1305506219 1561223932 2341835898 2611012438 3122447864 3512753847 3916518657 4683671796 5222024876 7025507694 7833037314 9367343592 10444049752 11749555971 14051015388 15666074628 23499111942 28102030776 31332149256 37859680351 46998223884 75719360702 93996447768 113579041053 151438721404 227158082106 302877442808 340737123159 454316164212 681474246318 908632328424 1362948492636 2725896985272