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14760691968 = 283112375967
BaseRepresentation
bin11011011111100111…
…00100100100000000
31102002200211211210010
431233303210210000
5220212214120333
610440404504520
71031532545241
oct155763444400
942080754703
1014760691968
116295031390
122a3b3ab140
1315130ab179
14a0052ccc8
155b5ce3563
hex36fce4900

14760691968 has 144 divisors (see below), whose sum is σ = 44720234496. Its totient is φ = 4278405120.

The previous prime is 14760691963. The next prime is 14760691997. The reversal of 14760691968 is 86919606741.

It is not an unprimeable number, because it can be changed into a prime (14760691961) 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, 156321 + ... + 232287.

It is an arithmetic number, because the mean of its divisors is an integer number (310557184).

Almost surely, 214760691968 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 14760691968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22360117248).

14760691968 is an abundant number, since it is smaller than the sum of its proper divisors (29959542528).

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

14760691968 is a wasteful number, since it uses less digits than its factorization.

14760691968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76020 (or 76006 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The spelling of 14760691968 in words is "fourteen billion, seven hundred sixty million, six hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 128 132 138 176 184 192 253 256 264 276 352 368 384 506 528 552 704 736 759 768 1012 1056 1104 1408 1472 1518 2024 2112 2208 2816 2944 3036 4048 4224 4416 5888 6072 8096 8448 8832 12144 16192 17664 24288 32384 48576 64768 75967 97152 151934 194304 227901 303868 455802 607736 835637 911604 1215472 1671274 1747241 1823208 2430944 2506911 3342548 3494482 3646416 4861888 5013822 5241723 6685096 6988964 7292832 9723776 10027644 10483446 13370192 13977928 14585664 19219651 19447552 20055288 20966892 26740384 27955856 29171328 38439302 40110576 41933784 53480768 55911712 57658953 58342656 76878604 80221152 83867568 106961536 111823424 115317906 153757208 160442304 167735136 213923072 223646848 230635812 307514416 320884608 335470272 447293696 461271624 615028832 641769216 670940544 922543248 1230057664 1341881088 1845086496 2460115328 3690172992 4920230656 7380345984 14760691968