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253434012134355 = 335131087132848983
BaseRepresentation
bin111001100111111100110100…
…010001000110101111010011
31020020100001111001110102012000
4321213330310101012233103
5231204230324101244410
62255001551120405043
7104245001035415433
oct7147746421065723
91206301431412160
10253434012134355
117382a840925458
1224511261a76783
13ab549564c4a70
1446823b35242c3
151e47600cd5dc0
hexe67f34446bd3

253434012134355 has 64 divisors (see below), whose sum is σ = 485653373829120. Its totient is φ = 124652731206528.

The previous prime is 253434012134339. The next prime is 253434012134437. The reversal of 253434012134355 is 553431210434352.

253434012134355 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 340 + 1 + 213 + 43 + 55 = 666.

It is not a de Polignac number, because 253434012134355 - 24 = 253434012134339 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 253434012134355.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64516807 + ... + 68332176.

It is an arithmetic number, because the mean of its divisors is an integer number (7588333966080).

Almost surely, 2253434012134355 is an apocalyptic number.

253434012134355 is a deficient number, since it is larger than the sum of its proper divisors (232219361694765).

253434012134355 is a wasteful number, since it uses less digits than its factorization.

253434012134355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132850097 (or 132850091 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 45.

The spelling of 253434012134355 in words is "two hundred fifty-three trillion, four hundred thirty-four billion, twelve million, one hundred thirty-four thousand, three hundred fifty-five".

Divisors: 1 3 5 9 13 15 27 39 45 65 117 135 195 351 585 1087 1755 3261 5435 9783 14131 16305 29349 42393 48915 70655 127179 146745 211965 381537 635895 1907685 132848983 398546949 664244915 1195640847 1727036779 1992734745 3586922541 5181110337 5978204235 8635183895 15543331011 17934612705 25905551685 46629993033 77716655055 144406844521 233149965165 433220533563 722034222605 1299661600689 1877288978773 2166102667815 3898984802067 5631866936319 6498308003445 9386444893865 16895600808957 19494924010335 28159334681595 50686802426871 84478004044785 253434012134355