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272214294345 = 32572929799047
BaseRepresentation
bin1111110110000100111…
…1000111111101001001
3222000122002012221011200
43331201033013331021
513424443324404340
6325015321014413
725444503216210
oct3754117077511
9860562187150
10272214294345
11a54999663a4
1244910024409
131c892431566
14d264c16077
157133177330
hex3f613c7f49

272214294345 has 48 divisors (see below), whose sum is σ = 557838178560. Its totient is φ = 120149753472.

The previous prime is 272214294281. The next prime is 272214294371. The reversal of 272214294345 is 543492412272.

272214294345 is a `hidden beast` number, since 2 + 7 + 2 + 2 + 14 + 294 + 345 = 666.

It is not a de Polignac number, because 272214294345 - 26 = 272214294281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 272214294345.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14890389 + ... + 14908658.

It is an arithmetic number, because the mean of its divisors is an integer number (11621628720).

Almost surely, 2272214294345 is an apocalyptic number.

It is an amenable number.

272214294345 is an abundant number, since it is smaller than the sum of its proper divisors (285623884215).

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

272214294345 is a wasteful number, since it uses less digits than its factorization.

272214294345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29799094 (or 29799091 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 272214294345 in words is "two hundred seventy-two billion, two hundred fourteen million, two hundred ninety-four thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 29 35 45 63 87 105 145 203 261 315 435 609 1015 1305 1827 3045 9135 29799047 89397141 148995235 208593329 268191423 446985705 625779987 864172363 1042966645 1340957115 1877339961 2592517089 3128899935 4320861815 6049206541 7777551267 9386699805 12962585445 18147619623 30246032705 38887756335 54442858869 90738098115 272214294345