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23317754648664 = 23371723513472769
BaseRepresentation
bin1010100110101000101100…
…11110111001100001011000
310001120011012102011102010010
411103110112132321201120
511024014230142224124
6121332010102321520
74624436461152420
oct523242636714130
9101504172142103
1023317754648664
117480005674373
122747178a292a0
131001b1609a2b8
145a882a297480
152a683582a529
hex1535167b9858

23317754648664 has 128 divisors (see below), whose sum is σ = 70571131545600. Its totient is φ = 6267651686400.

The previous prime is 23317754648633. The next prime is 23317754648687. The reversal of 23317754648664 is 46684645771332.

It is a junction number, because it is equal to n+sod(n) for n = 23317754648595 and 23317754648604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4978072 + ... + 8450840.

It is an arithmetic number, because the mean of its divisors is an integer number (551336965200).

Almost surely, 223317754648664 is an apocalyptic number.

23317754648664 is a gapful number since it is divisible by the number (24) 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 23317754648664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35285565772800).

23317754648664 is an abundant number, since it is smaller than the sum of its proper divisors (47253376896936).

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

23317754648664 is a wasteful number, since it uses less digits than its factorization.

23317754648664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475153 (or 3475149 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 66.

The spelling of 23317754648664 in words is "twenty-three trillion, three hundred seventeen billion, seven hundred fifty-four million, six hundred forty-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2351 2856 4702 7053 9404 14106 16457 18808 28212 32914 39967 49371 56424 65828 79934 98742 119901 131656 159868 197484 239802 279769 319736 394968 479604 559538 839307 959208 1119076 1678614 2238152 3357228 3472769 6714456 6945538 10418307 13891076 20836614 24309383 27782152 41673228 48618766 59037073 72928149 83346456 97237532 118074146 145856298 177111219 194475064 236148292 291712596 354222438 413259511 472296584 583425192 708444876 826519022 1239778533 1416889752 1653038044 2479557066 3306076088 4959114132 8164479919 9918228264 16328959838 24493439757 32657919676 48986879514 57151359433 65315839352 97973759028 114302718866 138796158623 171454078299 195947518056 228605437732 277592317246 342908156598 416388475869 457210875464 555184634492 685816313196 832776951738 971573110361 1110369268984 1371632626392 1665553903476 1943146220722 2914719331083 3331107806952 3886292441444 5829438662166 7772584882888 11658877324332 23317754648664