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23873015544004 = 22112192116892
BaseRepresentation
bin1010110110110010111101…
…00111000111100011000100
310010112020102111111110200001
411123121132213013203010
511112113413434402004
6122435040102331044
75012524402663114
oct533313647074304
9103466374443601
1023873015544004
1176745419a7400
122816900729a84
1310422a5ba22c3
145c76627c3044
152b5ed2ae21a4
hex15b65e9c78c4

23873015544004 has 81 divisors (see below), whose sum is σ = 48469275670221. Its totient is φ = 10279366447680.

The previous prime is 23873015543987. The next prime is 23873015544013. The reversal of 23873015544004 is 40044551037832.

The square root of 23873015544004 is 4886002.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 23669217470404 + 203798073600 = 4865102^2 + 451440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2042342992 + ... + 2042354680.

Almost surely, 223873015544004 is an apocalyptic number.

23873015544004 is the 4886002-nd square number.

It is an amenable number.

23873015544004 is an abundant number, since it is smaller than the sum of its proper divisors (24596260126217).

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

23873015544004 is an equidigital number, since it uses as much as digits as its factorization.

23873015544004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23442 (or 11721 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 46.

The spelling of 23873015544004 in words is "twenty-three trillion, eight hundred seventy-three billion, fifteen million, five hundred forty-four thousand, four".

Divisors: 1 2 4 11 19 22 38 44 76 121 209 242 361 418 484 722 836 1444 2299 3971 4598 7942 9196 11689 15884 23378 43681 46756 87362 128579 174724 222091 257158 444182 514316 888364 1414369 2443001 2828738 4219729 4886002 5657476 8439458 9772004 16878916 26873011 46417019 53746022 92834038 107492044 136632721 185668076 273265442 510587209 546530884 1021174418 1502959931 2042348836 2596021699 3005919862 5192043398 6011839724 10384086796 16532559241 28556238689 33065118482 49324412281 57112477378 66130236964 98648824562 114224954756 197297649124 314118625579 542568535091 628237251158 1085137070182 1256474502316 2170274140364 5968253886001 11936507772002 23873015544004