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22546144272 = 2436764110937
BaseRepresentation
bin10100111111110110…
…101101110000010000
32011012021112210120110
4110333312231300100
5332133303104042
614205122041320
71425500031021
oct247766556020
964167483513
1022546144272
11961a78a993
1244527a9240
132184042492
14113c508c48
158be55e09c
hex53fdadc10

22546144272 has 80 divisors (see below), whose sum is σ = 59211156672. Its totient is φ = 7390986240.

The previous prime is 22546144267. The next prime is 22546144321. The reversal of 22546144272 is 27244164522.

It is a self number, because there is not a number n which added to its sum of digits gives 22546144272.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2055988 + ... + 2066924.

Almost surely, 222546144272 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 22546144272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29605578336).

22546144272 is an abundant number, since it is smaller than the sum of its proper divisors (36665012400).

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

22546144272 is a wasteful number, since it uses less digits than its factorization.

22546144272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11656 (or 11650 counting only the distinct ones).

The product of its digits is 215040, while the sum is 39.

The spelling of 22546144272 in words is "twenty-two billion, five hundred forty-six million, one hundred forty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 641 804 1072 1282 1608 1923 2564 3216 3846 5128 7692 10256 10937 15384 21874 30768 32811 42947 43748 65622 85894 87496 128841 131244 171788 174992 257682 262488 343576 515364 524976 687152 732779 1030728 1465558 2061456 2198337 2931116 4396674 5862232 7010617 8793348 11724464 14021234 17586696 21031851 28042468 35173392 42063702 56084936 84127404 112169872 168254808 336509616 469711339 939422678 1409134017 1878845356 2818268034 3757690712 5636536068 7515381424 11273072136 22546144272