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89918940960 = 25325193286511
BaseRepresentation
bin101001110111110010…
…1100010011100100000
322121002121100111000200
41103233211202130200
52433123222102320
6105150322545200
76332163246552
oct1235745423440
9277077314020
1089918940960
1135152997252
1215515808200
1386300b0b54
1444d023b4d2
1525141b9290
hex14ef962720

89918940960 has 144 divisors (see below), whose sum is σ = 322998399360. Its totient is φ = 22716357120.

The previous prime is 89918940889. The next prime is 89918940989. The reversal of 89918940960 is 6904981998.

89918940960 is a `hidden beast` number, since 8 + 9 + 91 + 89 + 409 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1615896 + ... + 1670615.

It is an arithmetic number, because the mean of its divisors is an integer number (2243044440).

Almost surely, 289918940960 is an apocalyptic number.

89918940960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

89918940960 is an abundant number, since it is smaller than the sum of its proper divisors (233079458400).

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

89918940960 is a wasteful number, since it uses less digits than its factorization.

89918940960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286551 (or 3286540 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 63.

The spelling of 89918940960 in words is "eighty-nine billion, nine hundred eighteen million, nine hundred forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 32 36 38 40 45 48 57 60 72 76 80 90 95 96 114 120 144 152 160 171 180 190 228 240 285 288 304 342 360 380 456 480 570 608 684 720 760 855 912 1140 1368 1440 1520 1710 1824 2280 2736 3040 3420 4560 5472 6840 9120 13680 27360 3286511 6573022 9859533 13146044 16432555 19719066 26292088 29578599 32865110 39438132 49297665 52584176 59157198 62443709 65730220 78876264 98595330 105168352 118314396 124887418 131460440 147892995 157752528 187331127 197190660 236628792 249774836 262920880 295785990 312218545 315505056 374662254 394381320 473257584 499549672 525841760 561993381 591571980 624437090 749324508 788762640 936655635 946515168 999099344 1123986762 1183143960 1248874180 1498649016 1577525280 1873311270 1998198688 2247973524 2366287920 2497748360 2809966905 2997298032 3746622540 4495947048 4732575840 4995496720 5619933810 5994596064 7493245080 8991894096 9990993440 11239867620 14986490160 17983788192 22479735240 29972980320 44959470480 89918940960