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5170642064 = 24719612653
BaseRepresentation
bin1001101000011000…
…11011110010010000
3111100100110211110122
410310030123302100
541042141021224
62213024445412
7242063506130
oct46414336220
914310424418
105170642064
112213768a05
121003779868
13645307223
14370a00ac0
15203e1215e
hex13431bc90

5170642064 has 120 divisors (see below), whose sum is σ = 12271446720. Its totient is φ = 2061780480.

The previous prime is 5170642051. The next prime is 5170642069. The reversal of 5170642064 is 4602460715.

It is not an unprimeable number, because it can be changed into a prime (5170642069) 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, 7917962 + ... + 7918614.

It is an arithmetic number, because the mean of its divisors is an integer number (102262056).

Almost surely, 25170642064 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 5170642064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6135723360).

5170642064 is an abundant number, since it is smaller than the sum of its proper divisors (7100804656).

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

5170642064 is a wasteful number, since it uses less digits than its factorization.

5170642064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 5170642064 is about 71907.1767211034. The cubic root of 5170642064 is about 1729.2116719689.

The spelling of 5170642064 in words is "five billion, one hundred seventy million, six hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 61 76 112 122 133 152 244 266 304 427 488 532 653 854 976 1064 1159 1306 1708 2128 2318 2612 3416 3721 4571 4636 5224 6832 7442 8113 9142 9272 10448 12407 14884 16226 18284 18544 24814 26047 29768 32452 36568 39833 49628 52094 59536 64904 70699 73136 79666 86849 99256 104188 129808 141398 159332 173698 198512 208376 278831 282796 318664 347396 416752 494893 557662 565592 637328 694792 756827 989786 1115324 1131184 1389584 1513654 1979572 2230648 2429813 3027308 3959144 4461296 4859626 5297789 6054616 7918288 9719252 10595578 12109232 17008691 19438504 21191156 34017382 38877008 42382312 46166447 68034764 84764624 92332894 136069528 184665788 272139056 323165129 369331576 646330258 738663152 1292660516 2585321032 5170642064