Search a number
-
+
156261054626624 = 2631538916697183
BaseRepresentation
bin100011100001111001011100…
…101001110011101101000000
3202111021102002120100102022202
4203201321130221303231000
5130440140114441022444
61312201200521452332
744625326414034503
oct4341713451635500
9674242076312282
10156261054626624
1145875a3968a522
12156385330410a8
13692647b2ca47c
142a8310ac6b13a
15130ea9696134e
hex8e1e5ca73b40

156261054626624 has 112 divisors (see below), whose sum is σ = 329786749071360. Its totient is φ = 73350052638720.

The previous prime is 156261054626591. The next prime is 156261054626659. The reversal of 156261054626624 is 426626450162651.

It is a self number, because there is not a number n which added to its sum of digits gives 156261054626624.

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 15 ways as a sum of consecutive naturals, for example, 1009937 + ... + 17707119.

It is an arithmetic number, because the mean of its divisors is an integer number (2944524545280).

Almost surely, 2156261054626624 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 156261054626624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164893374535680).

156261054626624 is an abundant number, since it is smaller than the sum of its proper divisors (173525694444736).

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

156261054626624 is a wasteful number, since it uses less digits than its factorization.

156261054626624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16697368 (or 16697358 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 56.

The spelling of 156261054626624 in words is "one hundred fifty-six trillion, two hundred sixty-one billion, fifty-four million, six hundred twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 31 32 53 62 64 89 106 124 178 212 248 356 424 496 712 848 992 1424 1643 1696 1984 2759 2848 3286 3392 4717 5518 5696 6572 9434 11036 13144 18868 22072 26288 37736 44144 52576 75472 88288 105152 146227 150944 176576 292454 301888 584908 1169816 2339632 4679264 9358528 16697183 33394366 66788732 133577464 267154928 517612673 534309856 884950699 1035225346 1068619712 1486049287 1769901398 2070450692 2972098574 3539802796 4140901384 5944197148 7079605592 8281802768 11888394296 14159211184 16563605536 23776788592 27433471669 28318422368 33127211072 46067527897 47553577184 54866943338 56636844736 78760612211 92135055794 95107154368 109733886676 157521224422 184270111588 219467773352 315042448844 368540223176 438935546704 630084897688 737080446352 877871093408 1260169795376 1474160892704 1755742186816 2441578978541 2520339590752 2948321785408 4883157957082 5040679181504 9766315914164 19532631828328 39065263656656 78130527313312 156261054626624