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23104115250304 = 2711271349173497
BaseRepresentation
bin1010100000011010110001…
…00101010001010010000000
310000210201202111221111111111
411100031120211101102000
511012014212001002204
6121045514540453104
74603134341220544
oct520153045212200
9100721674844444
1023104115250304
1173a8444810320
12271189554a194
13cb792a097b0a
1459c360969a24
152a0ecec52d04
hex150358951480

23104115250304 has 128 divisors (see below), whose sum is σ = 50542049376000. Its totient is φ = 10433077862400.

The previous prime is 23104115250289. The next prime is 23104115250319. The reversal of 23104115250304 is 40305251140132.

It is an interprime number because it is at equal distance from previous prime (23104115250289) and next prime (23104115250319).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133080484 + ... + 133253980.

It is an arithmetic number, because the mean of its divisors is an integer number (394859760750).

Almost surely, 223104115250304 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 23104115250304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25271024688000).

23104115250304 is an abundant number, since it is smaller than the sum of its proper divisors (27437934125696).

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

23104115250304 is a wasteful number, since it uses less digits than its factorization.

23104115250304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174142 (or 174130 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 23104115250304 its reverse (40305251140132), we get a palindrome (63409366390436).

The spelling of 23104115250304 in words is "twenty-three trillion, one hundred four billion, one hundred fifteen million, two hundred fifty thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 271 349 352 542 698 704 1084 1396 1408 2168 2792 2981 3839 4336 5584 5962 7678 8672 11168 11924 15356 17344 22336 23848 30712 34688 44672 47696 61424 94579 95392 122848 173497 189158 190784 245696 346994 378316 381568 491392 693988 756632 1040369 1387976 1513264 1908467 2080738 2775952 3026528 3816934 4161476 5551904 6053056 7633868 8322952 11103808 12106112 15267736 16645904 22207616 30535472 33291808 47017687 60550453 61070944 66583616 94035374 121100906 122141888 133167232 188070748 242201812 244283776 376141496 484403624 517194557 666054983 752282992 968807248 1034389114 1332109966 1504565984 1937614496 2068778228 2664219932 3009131968 3875228992 4137556456 5328439864 6018263936 7750457984 8275112912 10656879728 16409172763 16550225824 21313759456 32818345526 33100451648 42627518912 65636691052 66200903296 85255037824 131273382104 180500900393 262546764208 361001800786 525093528416 722003601572 1050187056832 1444007203144 2100374113664 2888014406288 5776028812576 11552057625152 23104115250304