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5677713104 = 247261227523
BaseRepresentation
bin1010100100110101…
…10000011011010000
3112122200121201011112
411102122300123100
543111443304404
62335221032452
7260461523300
oct52232603320
915580551145
105677713104
112453a14988
121125555728
136c639696b
143bc0b7600
152336c556e
hex1526b06d0

5677713104 has 120 divisors (see below), whose sum is σ = 13088635488. Its totient is φ = 2378315520.

The previous prime is 5677713079. The next prime is 5677713109. The reversal of 5677713104 is 4013177765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5677713109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10855787 + ... + 10856309.

Almost surely, 25677713104 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 5677713104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6544317744).

5677713104 is an abundant number, since it is smaller than the sum of its proper divisors (7410922384).

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

5677713104 is a wasteful number, since it uses less digits than its factorization.

5677713104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 41.

The square root of 5677713104 is about 75350.6012185702. The cubic root of 5677713104 is about 1783.9847924461.

The spelling of 5677713104 in words is "five billion, six hundred seventy-seven million, seven hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 61 98 112 122 196 227 244 392 427 454 488 523 784 854 908 976 1046 1589 1708 1816 2092 2989 3178 3416 3632 3661 4184 5978 6356 6832 7322 8368 11123 11956 12712 13847 14644 22246 23912 25424 25627 27694 29288 31903 44492 47824 51254 55388 58576 63806 88984 96929 102508 110776 118721 127612 177968 193858 205016 221552 223321 237442 255224 387716 410032 446642 474884 510448 678503 775432 831047 893284 949768 1357006 1550864 1563247 1662094 1786568 1899536 2714012 3126494 3324188 3573136 5428024 5817329 6252988 6648376 7241981 10856048 11634658 12505976 13296752 14483962 23269316 25011952 28967924 46538632 50693867 57935848 93077264 101387734 115871696 202775468 354857069 405550936 709714138 811101872 1419428276 2838856552 5677713104