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77397817968 = 2432618811227
BaseRepresentation
bin100100000010101000…
…1001111101001110000
321101202222122112022200
41020011101033221300
52232002320133333
655320035503200
75406663412032
oct1100521175160
9241688575280
1077397817968
112a908061219
1213000457b00
1373b5ca9933
143a63329c52
15202ed0bc13
hex120544fa70

77397817968 has 60 divisors (see below), whose sum is σ = 220157342808. Its totient is φ = 25376330880.

The previous prime is 77397817961. The next prime is 77397817969. The reversal of 77397817968 is 86971879377.

77397817968 is a `hidden beast` number, since 7 + 7 + 397 + 8 + 179 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 77397817896 and 77397817905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77397817961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4396830 + ... + 4414397.

Almost surely, 277397817968 is an apocalyptic number.

It is an amenable number.

77397817968 is an abundant number, since it is smaller than the sum of its proper divisors (142759524840).

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

77397817968 is a wasteful number, since it uses less digits than its factorization.

77397817968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8811302 (or 8811293 counting only the distinct ones).

The product of its digits is 224042112, while the sum is 72.

The spelling of 77397817968 in words is "seventy-seven billion, three hundred ninety-seven million, eight hundred seventeen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 8811227 17622454 26433681 35244908 52867362 70489816 79301043 105734724 140979632 158602086 211469448 317204172 422938896 537484847 634408344 1074969694 1268816688 1612454541 2149939388 3224909082 4299878776 4837363623 6449818164 8599757552 9674727246 12899636328 19349454492 25799272656 38698908984 77397817968