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11625642340 = 2251383538723
BaseRepresentation
bin10101101001111000…
…10011100101100100
31010000012200211011221
422310330103211210
5142302131023330
65201333510124
7561044220664
oct126474234544
933005624157
1011625642340
114a26410184
1223054a2344
131133730910
147c40101a4
15480974b7a
hex2b4f13964

11625642340 has 48 divisors (see below), whose sum is σ = 26608655808. Its totient is φ = 4240819584.

The previous prime is 11625642319. The next prime is 11625642349. The reversal of 11625642340 is 4324652611.

11625642340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11625642296 and 11625642305.

It is not an unprimeable number, because it can be changed into a prime (11625642349) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 247782 + ... + 290941.

It is an arithmetic number, because the mean of its divisors is an integer number (554346996).

Almost surely, 211625642340 is an apocalyptic number.

11625642340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11625642340 is an abundant number, since it is smaller than the sum of its proper divisors (14983013468).

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

11625642340 is a wasteful number, since it uses less digits than its factorization.

11625642340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538828 (or 538826 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 11625642340 in words is "eleven billion, six hundred twenty-five million, six hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 260 332 415 830 1079 1660 2158 4316 5395 10790 21580 538723 1077446 2154892 2693615 5387230 7003399 10774460 14006798 28013596 35016995 44714009 70033990 89428018 140067980 178856036 223570045 447140090 581282117 894280180 1162564234 2325128468 2906410585 5812821170 11625642340