Search a number
-
+
126232210364920 = 235111063126986303
BaseRepresentation
bin11100101100111010111010…
…000011101101100111111000
3121112221200101210002100100121
4130230322322003231213320
5113021142031323134140
61124250135445543024
735405655564216652
oct3454727203554770
9545850353070317
10126232210364920
113724886397a760
12121a8793a14a74
13555885309105a
142325958b636d2
15e8d8c975464a
hex72ceba0ed9f8

126232210364920 has 64 divisors (see below), whose sum is σ = 309871854858240. Its totient is φ = 45898302441600.

The previous prime is 126232210364917. The next prime is 126232210364933. The reversal of 126232210364920 is 29463012232621.

It is a super-2 number, since 2×1262322103649202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8815512 + ... + 18170791.

It is an arithmetic number, because the mean of its divisors is an integer number (4841747732160).

Almost surely, 2126232210364920 is an apocalyptic number.

126232210364920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126232210364920 is an abundant number, since it is smaller than the sum of its proper divisors (183639644493320).

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

126232210364920 is a wasteful number, since it uses less digits than its factorization.

126232210364920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26996956 (or 26996952 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 43.

The spelling of 126232210364920 in words is "one hundred twenty-six trillion, two hundred thirty-two billion, two hundred ten million, three hundred sixty-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 10631 21262 42524 53155 85048 106310 116941 212620 233882 425240 467764 584705 935528 1169410 2338820 4677640 26986303 53972606 107945212 134931515 215890424 269863030 296849333 539726060 593698666 1079452120 1187397332 1484246665 2374794664 2968493330 5936986660 11873973320 286891387193 573782774386 1147565548772 1434456935965 2295131097544 2868913871930 3155805259123 5737827743860 6311610518246 11475655487720 12623221036492 15779026295615 25246442072984 31558052591230 63116105182460 126232210364920