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5677379904 = 2637386209
BaseRepresentation
bin1010100100110010…
…11111000101000000
3112122122222210002210
411102121133011000
543111402124104
62335205542120
7260455635000
oct52231370500
915578883083
105677379904
112453807609
121125414940
136c62ab0c1
143bc02c000
1523365b989
hex15265f140

5677379904 has 112 divisors (see below), whose sum is σ = 17517872000. Its totient is φ = 1622089728.

The previous prime is 5677379881. The next prime is 5677379941. The reversal of 5677379904 is 4099737765.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 22752 + ... + 108960.

Almost surely, 25677379904 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 5677379904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8758936000).

5677379904 is an abundant number, since it is smaller than the sum of its proper divisors (11840492096).

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

5677379904 is an equidigital number, since it uses as much as digits as its factorization.

5677379904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86245 (or 86221 counting only the distinct ones).

The product of its (nonzero) digits is 10001880, while the sum is 57.

The square root of 5677379904 is about 75348.3901885103. The cubic root of 5677379904 is about 1783.9498936908.

The spelling of 5677379904 in words is "five billion, six hundred seventy-seven million, three hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 16464 21952 32928 65856 86209 172418 258627 344836 517254 603463 689672 1034508 1206926 1379344 1810389 2069016 2413852 2758688 3620778 4138032 4224241 4827704 5517376 7241556 8276064 8448482 9655408 12672723 14483112 16552128 16896964 19310816 25345446 28966224 29569687 33793928 38621632 50690892 57932448 59139374 67587856 88709061 101381784 115864896 118278748 135175712 177418122 202763568 236557496 270351424 354836244 405527136 473114992 709672488 811054272 946229984 1419344976 1892459968 2838689952 5677379904