Search a number
-
+
2563922698272 = 253313228269471
BaseRepresentation
bin100101010011110101101…
…100111010000000100000
3100002002221011220002101000
4211103311230322000200
5314001403202321042
65241503321312000
7353144252231265
oct45236554720040
910062834802330
102563922698272
118a9398581641
12354aa4635600
13157a13a36860
148c14751726c
1546a6091974c
hex254f5b3a020

2563922698272 has 96 divisors (see below), whose sum is σ = 8053346972160. Its totient is φ = 788899288320.

The previous prime is 2563922698219. The next prime is 2563922698273. The reversal of 2563922698272 is 2728962293652.

2563922698272 is a `hidden beast` number, since 2 + 56 + 3 + 9 + 226 + 98 + 272 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2563922698273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114123504 + ... + 114145967.

It is an arithmetic number, because the mean of its divisors is an integer number (83889030960).

Almost surely, 22563922698272 is an apocalyptic number.

It is an amenable number.

2563922698272 is an abundant number, since it is smaller than the sum of its proper divisors (5489424273888).

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

2563922698272 is a wasteful number, since it uses less digits than its factorization.

2563922698272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228269503 (or 228269489 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

It can be divided in two parts, 25639 and 22698272, that added together give a triangular number (22723911 = T6741).

The spelling of 2563922698272 in words is "two trillion, five hundred sixty-three billion, nine hundred twenty-two million, six hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 432 468 624 702 864 936 1248 1404 1872 2808 3744 5616 11232 228269471 456538942 684808413 913077884 1369616826 1826155768 2054425239 2739233652 2967503123 3652311536 4108850478 5478467304 5935006246 6163275717 7304623072 8217700956 8902509369 10956934608 11870012492 12326551434 16435401912 17805018738 21913869216 23740024984 24653102868 26707528107 32870803824 35610037476 47480049968 49306205736 53415056214 65741607648 71220074952 80122584321 94960099936 98612411472 106830112428 142440149904 160245168642 197224822944 213660224856 284880299808 320490337284 427320449712 640980674568 854640899424 1281961349136 2563922698272