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34242553215 = 32513479122201
BaseRepresentation
bin11111111001000000…
…111110010101111111
310021101102101221021200
4133321000332111333
51030112043200330
623421504430543
72321363620443
oct377100762577
9107342357250
1034242553215
1113582035062
126777918453
1332c931c810
14192ba9a823
15d56311a60
hex7f903e57f

34242553215 has 48 divisors (see below), whose sum is σ = 64053400320. Its totient is φ = 16822540800.

The previous prime is 34242553139. The next prime is 34242553277. The reversal of 34242553215 is 51235524243.

34242553215 is a `hidden beast` number, since 3 + 42 + 42 + 553 + 21 + 5 = 666.

It is not a de Polignac number, because 34242553215 - 28 = 34242552959 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34242553215.

It is a congruent number.

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, 219115 + ... + 341315.

It is an arithmetic number, because the mean of its divisors is an integer number (1334445840).

Almost surely, 234242553215 is an apocalyptic number.

34242553215 is a deficient number, since it is larger than the sum of its proper divisors (29810847105).

34242553215 is a wasteful number, since it uses less digits than its factorization.

34242553215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122704 (or 122701 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The spelling of 34242553215 in words is "thirty-four billion, two hundred forty-two million, five hundred fifty-three thousand, two hundred fifteen".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 479 585 1437 2395 4311 6227 7185 18681 21555 31135 56043 93405 122201 280215 366603 611005 1099809 1588613 1833015 4765839 5499045 7943065 14297517 23829195 58534279 71487585 175602837 292671395 526808511 760945627 878014185 2282836881 2634042555 3804728135 6848510643 11414184405 34242553215