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23152234320512 = 2711193492479769
BaseRepresentation
bin1010100001110100011001…
…01100111101001010000000
310000222022222000110112111222
411100322030230331022000
511013311233441224022
6121123553431254212
74606456643451143
oct520721454751200
9100868860415458
1023152234320512
117416897772a40
12271b08451a368
13cbc32825011b
145a080755805a
152a2399405242
hex150e8cb3d280

23152234320512 has 128 divisors (see below), whose sum is σ = 53116673400000. Its totient is φ = 9941290721280.

The previous prime is 23152234320499. The next prime is 23152234320521. The reversal of 23152234320512 is 21502343225132.

It is a tau number, because it is divible by the number of its divisors (128).

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, 8096564 + ... + 10576332.

Almost surely, 223152234320512 is an apocalyptic number.

23152234320512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23152234320512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26558336700000).

23152234320512 is an abundant number, since it is smaller than the sum of its proper divisors (29964439079488).

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

23152234320512 is a wasteful number, since it uses less digits than its factorization.

23152234320512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480162 (or 2480150 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 23152234320512 its reverse (21502343225132), we get a palindrome (44654577545644).

The spelling of 23152234320512 in words is "twenty-three trillion, one hundred fifty-two billion, two hundred thirty-four million, three hundred twenty thousand, five hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 64 76 88 128 152 176 209 304 349 352 418 608 698 704 836 1216 1396 1408 1672 2432 2792 3344 3839 5584 6631 6688 7678 11168 13262 13376 15356 22336 26524 26752 30712 44672 53048 61424 72941 106096 122848 145882 212192 245696 291764 424384 491392 583528 848768 1167056 2334112 2479769 4668224 4959538 9336448 9919076 19838152 27277459 39676304 47115611 54554918 79352608 94231222 109109836 158705216 188462444 218219672 317410432 376924888 436439344 518271721 753849776 865439381 872878688 1036543442 1507699552 1730878762 1745757376 2073086884 3015399104 3461757524 3491514752 4146173768 6030798208 6923515048 8292347536 9519833191 13847030096 16443348239 16584695072 19039666382 27694060192 32886696478 33169390144 38079332764 55388120384 65773392956 66338780288 76158665528 110776240768 131546785912 152317331056 180876830629 263093571824 304634662112 361753661258 526187143648 609269324224 723507322516 1052374287296 1218538648448 1447014645032 2104748574592 2894029290064 5788058580128 11576117160256 23152234320512