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10041376180 = 22511215127479
BaseRepresentation
bin10010101101000001…
…10011110110110100
3221220210121202120111
421112200303312310
5131031043014210
64340221312404
7503556201133
oct112640636664
927823552514
1010041376180
114293105600
121b42a05704
13c40446514
146b385391a
153db83288a
hex256833db4

10041376180 has 72 divisors (see below), whose sum is σ = 23332498560. Its totient is φ = 3627096000.

The previous prime is 10041376171. The next prime is 10041376181. The reversal of 10041376180 is 8167314001.

10041376180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10041376181) 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 23 ways as a sum of consecutive naturals, for example, 351681 + ... + 379159.

It is an arithmetic number, because the mean of its divisors is an integer number (324062480).

Almost surely, 210041376180 is an apocalyptic number.

10041376180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10041376180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11666249280).

10041376180 is an abundant number, since it is smaller than the sum of its proper divisors (13291122380).

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

10041376180 is a wasteful number, since it uses less digits than its factorization.

10041376180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27661 (or 27648 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The spelling of 10041376180 in words is "ten billion, forty-one million, three hundred seventy-six thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 151 220 242 302 484 604 605 755 1210 1510 1661 2420 3020 3322 6644 8305 16610 18271 27479 33220 36542 54958 73084 91355 109916 137395 182710 274790 302269 365420 549580 604538 1209076 1511345 3022690 3324959 4149329 6045380 6649918 8298658 13299836 16597316 16624795 20746645 33249590 41493290 45642619 66499180 82986580 91285238 182570476 228213095 456426190 502068809 912852380 1004137618 2008275236 2510344045 5020688090 10041376180