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272242404242272 = 25191105229423289
BaseRepresentation
bin111101111001101001011111…
…110011000011001101100000
31022200221010020020110001201001
4331321221133303003031200
5241140404420441223042
62403002233422121344
7111225602365456252
oct7571513763031540
91280833206401631
10272242404242272
117982139a939282
122664a49a420254
13b8ba46ba41219
144b32861a2dcd2
1521719b2ad1bb7
hexf79a5fcc3360

272242404242272 has 48 divisors (see below), whose sum is σ = 538789789843200. Its totient is φ = 135406918978560.

The previous prime is 272242404242147. The next prime is 272242404242297.

272242404242272 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2722424042422722 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 642948004 + ... + 643371292.

It is an arithmetic number, because the mean of its divisors is an integer number (11224787288400).

Almost surely, 2272242404242272 is an apocalyptic number.

It is an amenable number.

272242404242272 is a deficient number, since it is larger than the sum of its proper divisors (266547385600928).

272242404242272 is a wasteful number, since it uses less digits than its factorization.

272242404242272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528719 (or 528711 counting only the distinct ones).

The product of its (nonzero) digits is 3211264, while the sum is 46.

The spelling of 272242404242272 in words is "two hundred seventy-two trillion, two hundred forty-two billion, four hundred four million, two hundred forty-two thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 32 191 382 764 1528 3056 6112 105229 210458 420916 423289 841832 846578 1683664 1693156 3367328 3386312 6772624 13545248 20098739 40197478 80394956 80848199 160789912 161696398 321579824 323392796 643159648 646785592 1293571184 2587142368 44542278181 89084556362 178169112724 356338225448 712676450896 1425352901792 8507575132571 17015150265142 34030300530284 68060601060568 136121202121136 272242404242272