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253412524014552 = 2335718622319519
BaseRepresentation
bin111001100111101000110011…
…011110011011101111011000
31020020021000000111202211100000
4321213220303132123233120
5231203402322121431202
62254544034551413000
7104243310403414020
oct7147506336335730
91206230014684300
10253412524014552
117382171439aa61
1224509065684160
13ab52910727486
14468133574ca80
151e46c945ba91c
hexe67a3379bbd8

253412524014552 has 96 divisors (see below), whose sum is σ = 813422916633600. Its totient is φ = 72403578285984.

The previous prime is 253412524014469. The next prime is 253412524014563. The reversal of 253412524014552 is 255410425214352.

253412524014552 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 1 + 2 + 52 + 40 + 1 + 4 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 253412524014498 and 253412524014507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9311146152 + ... + 9311173367.

It is an arithmetic number, because the mean of its divisors is an integer number (8473155381600).

Almost surely, 2253412524014552 is an apocalyptic number.

It is an amenable number.

253412524014552 is an abundant number, since it is smaller than the sum of its proper divisors (560010392619048).

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

253412524014552 is a wasteful number, since it uses less digits than its factorization.

253412524014552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18622319547 (or 18622319531 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 253412524014552 in words is "two hundred fifty-three trillion, four hundred twelve billion, five hundred twenty-four million, fourteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 243 252 324 378 486 504 567 648 756 972 1134 1512 1701 1944 2268 3402 4536 6804 13608 18622319519 37244639038 55866958557 74489278076 111733917114 130356236633 148978556152 167600875671 223467834228 260712473266 335201751342 391068709899 446935668456 502802627013 521424946532 670403502684 782137419798 1005605254026 1042849893064 1173206129697 1340807005368 1508407881039 1564274839596 2011210508052 2346412259394 3016815762078 3128549679192 3519618389091 4022421016104 4525223643117 4692824518788 6033631524156 7039236778182 9050447286234 9385649037576 10558855167273 12067263048312 14078473556364 18100894572468 21117710334546 28156947112728 31676565501819 36201789144936 42235420669092 63353131003638 84470841338184 126706262007276 253412524014552