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125344089760 = 2552233513007
BaseRepresentation
bin111010010111100010…
…1110000011010100000
3102222112110000111110211
41310233011300122200
54023201041333020
6133325434503504
712025100120011
oct1645705603240
9388473014424
10125344089760
114918151a92a
1220361594b94
13ba8740cc66
1460d0db7008
1533d922985a
hex1d2f1706a0

125344089760 has 48 divisors (see below), whose sum is σ = 297453413376. Its totient is φ = 49912789248.

The previous prime is 125344089757. The next prime is 125344089823. The reversal of 125344089760 is 67980443521.

It is a happy number.

It is a super-2 number, since 2×1253440897602 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1720824 + ... + 1792183.

It is an arithmetic number, because the mean of its divisors is an integer number (6196946112).

It is a 1-persistent number, because it is pandigital, but 2⋅125344089760 = 250688179520 is not.

Almost surely, 2125344089760 is an apocalyptic number.

125344089760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125344089760 is an abundant number, since it is smaller than the sum of its proper divisors (172109323616).

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

125344089760 is a wasteful number, since it uses less digits than its factorization.

125344089760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3513245 (or 3513237 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 125344089760 in words is "one hundred twenty-five billion, three hundred forty-four million, eighty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 223 446 892 1115 1784 2230 3568 4460 7136 8920 17840 35680 3513007 7026014 14052028 17565035 28104056 35130070 56208112 70260140 112416224 140520280 281040560 562081120 783400561 1566801122 3133602244 3917002805 6267204488 7834005610 12534408976 15668011220 25068817952 31336022440 62672044880 125344089760