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94901983968 = 25311233907361
BaseRepresentation
bin101100001100010011…
…0010101101011100000
3100001221212211021222010
41120120212111223200
53023324401441333
6111333010512520
76566521361001
oct1303046255340
9301855737863
1094901983968
113727a772210
1216486595740
138c455833cc
144843d671a8
1527068c1563
hex1618995ae0

94901983968 has 96 divisors (see below), whose sum is σ = 283580704512. Its totient is φ = 27507814400.

The previous prime is 94901983961. The next prime is 94901983973. The reversal of 94901983968 is 86938910949.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×949019839682 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 94901983899 and 94901983908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94901983961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1929393 + ... + 1977968.

It is an arithmetic number, because the mean of its divisors is an integer number (2953965672).

Almost surely, 294901983968 is an apocalyptic number.

It is an amenable number.

94901983968 is an abundant number, since it is smaller than the sum of its proper divisors (188678720544).

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

94901983968 is a wasteful number, since it uses less digits than its factorization.

94901983968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3907408 (or 3907400 counting only the distinct ones).

The product of its (nonzero) digits is 30233088, while the sum is 66.

The spelling of 94901983968 in words is "ninety-four billion, nine hundred one million, nine hundred eighty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 12144 24288 3907361 7814722 11722083 15629444 23444166 31258888 42980971 46888332 62517776 85961942 89869303 93776664 125035552 128942913 171923884 179738606 187553328 257885826 269607909 343847768 359477212 375106656 515771652 539215818 687695536 718954424 988562333 1031543304 1078431636 1375391072 1437908848 1977124666 2063086608 2156863272 2875817696 2965686999 3954249332 4126173216 4313726544 5931373998 7908498664 8627453088 11862747996 15816997328 23725495992 31633994656 47450991984 94901983968