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116151767064 = 233216319994951
BaseRepresentation
bin110110000101100101…
…1110101000000011000
3102002210211001010022200
41230023023311000120
53400334323021224
6125205343250200
711251230505254
oct1541313650030
9362724033280
10116151767064
114529470a823
121a616ba9960
13ac50b62c68
14589c21b264
15304c20d5c9
hex1b0b2f5018

116151767064 has 96 divisors (see below), whose sum is σ = 316729920000. Its totient is φ = 38452708800.

The previous prime is 116151767041. The next prime is 116151767087. The reversal of 116151767064 is 460767151611.

116151767064 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 517 + 6 + 70 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (116151767041) and next prime (116151767087).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23457789 + ... + 23462739.

It is an arithmetic number, because the mean of its divisors is an integer number (3299270000).

Almost surely, 2116151767064 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 116151767064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158364960000).

116151767064 is an abundant number, since it is smaller than the sum of its proper divisors (200578152936).

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

116151767064 is a wasteful number, since it uses less digits than its factorization.

116151767064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7125 (or 7118 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 116151767064 in words is "one hundred sixteen billion, one hundred fifty-one million, seven hundred sixty-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1304 1467 1956 1999 2934 3912 3998 4951 5868 5997 7996 9902 11736 11994 14853 15992 17991 19804 23988 29706 35982 39608 44559 47976 59412 71964 89118 118824 143928 178236 325837 356472 651674 807013 977511 1303348 1614026 1955022 2421039 2606696 2932533 3228052 3910044 4842078 5865066 6456104 7263117 7820088 9684156 9897049 11730132 14526234 19368312 19794098 23460264 29052468 29691147 39588196 58104936 59382294 79176392 89073441 118764588 178146882 237529176 356293764 712587528 1613218987 3226437974 4839656961 6452875948 9679313922 12905751896 14518970883 19358627844 29037941766 38717255688 58075883532 116151767064