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125372553705 = 355722105863
BaseRepresentation
bin111010011000011001…
…0010101100111101001
3102222121102120121200000
41310300302111213221
54023230333204310
6133332332533213
712025564060200
oct1646062254751
9388542517600
10125372553705
11491965a1253
122036b021209
13ba90297a29
1460d4aa6237
1533db99d4c0
hex1d30c959e9

125372553705 has 72 divisors (see below), whose sum is σ = 262154797632. Its totient is φ = 57313140192.

The previous prime is 125372553667. The next prime is 125372553727. The reversal of 125372553705 is 507355273521.

125372553705 is a `hidden beast` number, since 1 + 25 + 3 + 7 + 2 + 553 + 70 + 5 = 666.

It is not a de Polignac number, because 125372553705 - 214 = 125372537321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 993397 + ... + 1112466.

It is an arithmetic number, because the mean of its divisors is an integer number (3641038856).

Almost surely, 2125372553705 is an apocalyptic number.

125372553705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125372553705 is an abundant number, since it is smaller than the sum of its proper divisors (136782243927).

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

125372553705 is an equidigital number, since it uses as much as digits as its factorization.

125372553705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2105897 (or 2105878 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The spelling of 125372553705 in words is "one hundred twenty-five billion, three hundred seventy-two million, five hundred fifty-three thousand, seven hundred five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 243 245 315 405 441 567 735 945 1215 1323 1701 2205 2835 3969 6615 8505 11907 19845 59535 2105863 6317589 10529315 14741041 18952767 31587945 44223123 56858301 73705205 94763835 103187287 132669369 170574903 221115615 284291505 309561861 398008107 511724709 515936435 663346845 852874515 928685583 1194024321 1547809305 1990040535 2558623545 2786056749 3582072963 4643427915 5970121605 8358170247 13930283745 17910364815 25074510741 41790851235 125372553705