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89653604964 = 22371128999109
BaseRepresentation
bin101001101111111000…
…1010111001001100100
322120102010002000110120
41103133301113021210
52432102310324324
6105104123521540
76322462032330
oct1233761271144
9276363060416
1089653604964
1135027139400
12154609892b0
1385ba12bbc1
1444a6ccc7c0
1524eac56179
hex14dfc57264

89653604964 has 144 divisors (see below), whose sum is σ = 265741660800. Its totient is φ = 23024770560.

The previous prime is 89653604959. The next prime is 89653604983. The reversal of 89653604964 is 46940635698.

It is a junction number, because it is equal to n+sod(n) for n = 89653604898 and 89653604907.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 855042 + ... + 954150.

It is an arithmetic number, because the mean of its divisors is an integer number (1845428200).

Almost surely, 289653604964 is an apocalyptic number.

89653604964 is a gapful number since it is divisible by the number (84) 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 89653604964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132870830400).

89653604964 is an abundant number, since it is smaller than the sum of its proper divisors (176088055836).

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

89653604964 is a wasteful number, since it uses less digits than its factorization.

89653604964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99234 (or 99221 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 89653604964 in words is "eighty-nine billion, six hundred fifty-three million, six hundred four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 89 121 132 154 178 231 242 267 308 356 363 462 484 534 623 726 847 924 979 1068 1246 1452 1694 1869 1958 2492 2541 2937 3388 3738 3916 5082 5874 6853 7476 10164 10769 11748 13706 20559 21538 27412 32307 41118 43076 64614 75383 82236 99109 129228 150766 198218 226149 297327 301532 396436 452298 594654 693763 904596 1090199 1189308 1387526 2081289 2180398 2775052 3270597 4162578 4360796 6541194 7631393 8325156 8820701 11992189 13082388 15262786 17641402 22894179 23984378 26462103 30525572 35282804 35976567 45788358 47968756 52924206 61744907 71953134 83945323 91576716 97027711 105848412 123489814 143906268 167890646 185234721 194055422 246979628 251835969 291083133 335781292 370469442 388110844 503671938 582166266 679193977 740938884 1007343876 1067304821 1164332532 1358387954 2037581931 2134609642 2716775908 3201914463 4075163862 4269219284 6403828926 7471133747 8150327724 12807657852 14942267494 22413401241 29884534988 44826802482 89653604964