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89401973152 = 251911310191277
BaseRepresentation
bin101001101000011000…
…1011101100110100000
322112202120120210111211
41103100301131212200
52431043401120102
6105023134315504
76313315143022
oct1232061354640
9275676523454
1089401973152
1134a080a0728
12153b0658b94
138579c6783b
14448170a012
1524d3aed7d7
hex14d0c5d9a0

89401973152 has 96 divisors (see below), whose sum is σ = 187243358400. Its totient is φ = 41899511808.

The previous prime is 89401973123. The next prime is 89401973233. The reversal of 89401973152 is 25137910498.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 89401973096 and 89401973105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70008738 + ... + 70010014.

It is an arithmetic number, because the mean of its divisors is an integer number (1950451650).

Almost surely, 289401973152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89401973152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93621679200).

89401973152 is an abundant number, since it is smaller than the sum of its proper divisors (97841385248).

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

89401973152 is a wasteful number, since it uses less digits than its factorization.

89401973152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2438 (or 2430 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 49.

The spelling of 89401973152 in words is "eighty-nine billion, four hundred one million, nine hundred seventy-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 76 113 152 226 304 452 608 904 1019 1277 1808 2038 2147 2554 3616 4076 4294 5108 8152 8588 10216 16304 17176 19361 20432 24263 32608 34352 38722 40864 48526 68704 77444 97052 115147 144301 154888 194104 230294 288602 309776 388208 460588 577204 619552 776416 921176 1154408 1301263 1842352 2187793 2308816 2602526 2741719 3684704 4375586 4617632 5205052 5483438 8751172 10410104 10966876 17502344 20820208 21933752 24723997 35004688 41640416 43867504 49447994 70009376 87735008 98895988 147042719 197791976 294085438 395583952 588170876 791167904 1176341752 2352683504 2793811661 4705367008 5587623322 11175246644 22350493288 44700986576 89401973152