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5171112768 = 2631715710091
BaseRepresentation
bin1001101000011100…
…01110101101000000
3111100101100202011010
410310032032231000
541042301102033
62213042520520
7242100506343
oct46416165500
914311322133
105171112768
112213a5a618
121003966140
13645440553
14370ac445a
15203ea6863
hex13438eb40

5171112768 has 112 divisors (see below), whose sum is σ = 14580437184. Its totient is φ = 1611816960.

The previous prime is 5171112767. The next prime is 5171112797. The reversal of 5171112768 is 8672111715.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5171112767) 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, 507403 + ... + 517493.

Almost surely, 25171112768 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 5171112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7290218592).

5171112768 is an abundant number, since it is smaller than the sum of its proper divisors (9409324416).

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

5171112768 is a wasteful number, since it uses less digits than its factorization.

5171112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10280 (or 10270 counting only the distinct ones).

The product of its digits is 23520, while the sum is 39.

The square root of 5171112768 is about 71910.4496439843. The cubic root of 5171112768 is about 1729.2641427029.

The spelling of 5171112768 in words is "five billion, one hundred seventy-one million, one hundred twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 157 192 204 272 314 408 471 544 628 816 942 1088 1256 1632 1884 2512 2669 3264 3768 5024 5338 7536 8007 10048 10091 10676 15072 16014 20182 21352 30144 30273 32028 40364 42704 60546 64056 80728 85408 121092 128112 161456 170816 171547 242184 256224 322912 343094 484368 512448 514641 645824 686188 968736 1029282 1372376 1584287 1937472 2058564 2744752 3168574 4117128 4752861 5489504 6337148 8234256 9505722 10979008 12674296 16468512 19011444 25348592 26932879 32937024 38022888 50697184 53865758 76045776 80798637 101394368 107731516 152091552 161597274 215463032 304183104 323194548 430926064 646389096 861852128 1292778192 1723704256 2585556384 5171112768