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120286886976 = 263448172
BaseRepresentation
bin111000000000110101…
…0000011110001000000
3102111110222222222110000
41300001222003301000
53432321420340401
6131131541240000
711455551445404
oct1600152036100
9374428888400
10120286886976
11470168a25a3
121b38ba03000
13b45c773689
145b714a5104
1531e0274186
hex1c01a83c40

120286886976 has 105 divisors (see below), whose sum is σ = 356642053669. Its totient is φ = 40087305216.

The previous prime is 120286886969. The next prime is 120286886989. The reversal of 120286886976 is 679688682021.

The square root of 120286886976 is 346824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10974657600 + 109312229376 = 104760^2 + 330624^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 24968920 + ... + 24973736.

Almost surely, 2120286886976 is an apocalyptic number.

120286886976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

120286886976 is the 346824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120286886976

120286886976 is an abundant number, since it is smaller than the sum of its proper divisors (236355166693).

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

120286886976 is an frugal number, since it uses more digits than its factorization.

120286886976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9658 (or 4822 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 120286886976 in words is "one hundred twenty billion, two hundred eighty-six million, eight hundred eighty-six thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 4817 5184 9634 14451 19268 28902 38536 43353 57804 77072 86706 115608 130059 154144 173412 231216 260118 308288 346824 390177 462432 520236 693648 780354 924864 1040472 1387296 1560708 2080944 2774592 3121416 4161888 6242832 8323776 12485664 23203489 24971328 46406978 69610467 92813956 139220934 185627912 208831401 278441868 371255824 417662802 556883736 626494203 742511648 835325604 1113767472 1252988406 1485023296 1670651208 1879482609 2227534944 2505976812 3341302416 3758965218 4455069888 5011953624 6682604832 7517930436 10023907248 13365209664 15035860872 20047814496 30071721744 40095628992 60143443488 120286886976