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5217271680 = 27352993701
BaseRepresentation
bin1001101101111100…
…10011111110000000
3111110121012212021110
410312332103332000
541141110143210
62221412123320
7243201035415
oct46676237600
914417185243
105217271680
112238017485
121017306540
13651b8250a
14376c9c10c
15208073420
hex136f93f80

5217271680 has 128 divisors (see below), whose sum is σ = 17203687200. Its totient is φ = 1343283200.

The previous prime is 5217271679. The next prime is 5217271681. The reversal of 5217271680 is 861727125.

It is an interprime number because it is at equal distance from previous prime (5217271679) and next prime (5217271681).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5217271681) 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, 8830 + ... + 102530.

Almost surely, 25217271680 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 5217271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8601843600).

5217271680 is an abundant number, since it is smaller than the sum of its proper divisors (11986415520).

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

5217271680 is a wasteful number, since it uses less digits than its factorization.

5217271680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93752 (or 93740 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The square root of 5217271680 is about 72230.6837846631. The cubic root of 5217271680 is about 1734.3942197172.

The spelling of 5217271680 in words is "five billion, two hundred seventeen million, two hundred seventy-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 290 320 348 384 435 464 480 580 640 696 870 928 960 1160 1392 1740 1856 1920 2320 2784 3480 3712 4640 5568 6960 9280 11136 13920 18560 27840 55680 93701 187402 281103 374804 468505 562206 749608 937010 1124412 1405515 1499216 1874020 2248824 2717329 2811030 2998432 3748040 4497648 5434658 5622060 5996864 7496080 8151987 8995296 10869316 11244120 11993728 13586645 14992160 16303974 17990592 21738632 22488240 27173290 29984320 32607948 35981184 40759935 43477264 44976480 54346580 59968640 65215896 81519870 86954528 89952960 108693160 130431792 163039740 173909056 179905920 217386320 260863584 326079480 347818112 434772640 521727168 652158960 869545280 1043454336 1304317920 1739090560 2608635840 5217271680