Search a number
-
+
756120006425 = 5276137579311
BaseRepresentation
bin10110000000011000100…
…00111010111100011001
32200021200022012002220102
423000030100322330121
544342013210201200
61335205015505145
7105425234003420
oct13001420727431
92607608162812
10756120006425
1127173a0390a3
1210265b0881b5
13563c0102534
142884c7622b7
1514a05d8c6d5
hexb00c43af19

756120006425 has 48 divisors (see below), whose sum is σ = 1074811302912. Its totient is φ = 516897158400.

The previous prime is 756120006407. The next prime is 756120006479. The reversal of 756120006425 is 524600021657.

It is not a de Polignac number, because 756120006425 - 224 = 756103229209 is a prime.

It is a super-2 number, since 2×7561200064252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

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 47 ways as a sum of consecutive naturals, for example, 81202520 + ... + 81211830.

It is an arithmetic number, because the mean of its divisors is an integer number (22391902144).

Almost surely, 2756120006425 is an apocalyptic number.

It is an amenable number.

756120006425 is a deficient number, since it is larger than the sum of its proper divisors (318691296487).

756120006425 is a wasteful number, since it uses less digits than its factorization.

756120006425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10698 (or 10693 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 38.

The spelling of 756120006425 in words is "seven hundred fifty-six billion, one hundred twenty million, six thousand, four hundred twenty-five".

Divisors: 1 5 7 25 35 175 613 757 3065 3785 4291 5299 9311 15325 18925 21455 26495 46555 65177 107275 132475 232775 325885 464041 1629425 2320205 3248287 5707643 7048427 11601025 16241435 28538215 35242135 39953501 49338989 81207175 142691075 176210675 199767505 246694945 998837525 1233474725 4320685751 21603428755 30244800257 108017143775 151224001285 756120006425