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255410141122552 = 231337360718401657
BaseRepresentation
bin111010000100101101001110…
…101110111100111111111000
31020111022222012212210012222211
4322010231032232330333320
5231434114432111410202
62303113444331024504
7104540526252601063
oct7204551656747770
91214288185705884
10255410141122552
1174421918153809
122479024359b134
13ac690c43b2b80
14470dcb99538da
151e7dc0d2a11d7
hexe84b4ebbcff8

255410141122552 has 64 divisors (see below), whose sum is σ = 529817592870720. Its totient is φ = 114663810014208.

The previous prime is 255410141122537. The next prime is 255410141122553. The reversal of 255410141122552 is 255221141014552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255410141122553) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4678908 + ... + 23080564.

It is an arithmetic number, because the mean of its divisors is an integer number (8278399888605).

Almost surely, 2255410141122552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255410141122552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264908796435360).

255410141122552 is an abundant number, since it is smaller than the sum of its proper divisors (274407451748168).

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

255410141122552 is a wasteful number, since it uses less digits than its factorization.

255410141122552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18405320 (or 18405316 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 40.

The spelling of 255410141122552 in words is "two hundred fifty-five trillion, four hundred ten billion, one hundred forty-one million, one hundred twenty-two thousand, five hundred fifty-two".

Divisors: 1 2 4 8 13 26 37 52 74 104 148 296 481 962 1924 3607 3848 7214 14428 28856 46891 93782 133459 187564 266918 375128 533836 1067672 1734967 3469934 6939868 13879736 18401657 36803314 73606628 147213256 239221541 478443082 680861309 956886164 1361722618 1913772328 2723445236 5446890472 8851197017 17702394034 35404788068 66374776799 70809576136 132749553598 265499107196 530998214392 862872098387 1725744196774 2455866741563 3451488393548 4911733483126 6902976787096 9823466966252 19646933932504 31926267640319 63852535280638 127705070561276 255410141122552