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23464490088123 = 33710716312015927
BaseRepresentation
bin1010101010111010000001…
…00110001011011010111011
310002002011221122210001211000
411111131000212023122323
511033420233430304443
6121523234332140043
74641152636623440
oct525350046133273
9102064848701730
1023464490088123
117527263a338a7
12276b6aa307623
1310128cc1c5216
145b198a2559c7
152aa572a078d3
hex15574098b6bb

23464490088123 has 128 divisors (see below), whose sum is σ = 40385944535040. Its totient is φ = 13188260851200.

The previous prime is 23464490088097. The next prime is 23464490088139. The reversal of 23464490088123 is 32188009446432.

It is a happy number.

23464490088123 is a `hidden beast` number, since 2 + 3 + 4 + 64 + 490 + 0 + 88 + 12 + 3 = 666.

It is not a de Polignac number, because 23464490088123 - 29 = 23464490087611 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 23464490088123.

It is not an unprimeable number, because it can be changed into a prime (23464490083123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3958912186 + ... + 3958918112.

It is an arithmetic number, because the mean of its divisors is an integer number (315515191680).

Almost surely, 223464490088123 is an apocalyptic number.

23464490088123 is a deficient number, since it is larger than the sum of its proper divisors (16921454446917).

23464490088123 is a wasteful number, since it uses less digits than its factorization.

23464490088123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7414 (or 7408 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 23464490088123 in words is "twenty-three trillion, four hundred sixty-four billion, four hundred ninety million, eighty-eight thousand, one hundred twenty-three".

Divisors: 1 3 7 9 21 27 63 107 163 189 321 489 749 963 1141 1201 1467 2247 2889 3423 3603 4401 5927 6741 8407 10269 10809 17441 17781 20223 25221 30807 32427 41489 52323 53343 75663 122087 124467 128507 156969 160029 195763 226989 366261 373401 385521 470907 587289 634189 899549 966101 1098783 1120203 1156563 1370341 1761867 1902567 2698647 2898303 3296349 3469689 4111023 4439323 5285601 5707701 6762707 7118327 8095941 8694909 12333069 13317969 17123103 20288121 20946641 21354981 24287823 26084727 36999207 39953907 49828289 60864363 62839923 64064943 103372807 119861721 146626487 149484867 182593089 188519769 192194829 310118421 439879461 448454601 565559307 723609649 761660989 930355263 1160287301 1319638383 1345363803 2170828947 2284982967 2791065789 3480861903 3958915149 5331626923 6512486841 6854948901 8122011107 10442585709 15994880769 19537460523 20564846703 24366033321 31327757127 47984642307 73098099963 124150741207 143953926921 219294299889 372452223621 869055188449 1117356670863 2607165565347 3352070012589 7821496696041 23464490088123