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10014012054 = 232191032711049
BaseRepresentation
bin10010101001110000…
…11011001010010110
3221211220010112001100
421110320123022112
5131002041341204
64333403010530
7503104461264
oct112470331226
927756115040
1010014012054
114279715522
121b35809a46
13c37885227
146add6d434
153d9229a39
hex254e1b296

10014012054 has 96 divisors (see below), whose sum is σ = 23167872000. Its totient is φ = 3117087360.

The previous prime is 10014012037. The next prime is 10014012079. The reversal of 10014012054 is 45021041001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9545722 + ... + 9546770.

It is an arithmetic number, because the mean of its divisors is an integer number (241332000).

Almost surely, 210014012054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10014012054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11583936000).

10014012054 is an abundant number, since it is smaller than the sum of its proper divisors (13153859946).

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

10014012054 is a wasteful number, since it uses less digits than its factorization.

10014012054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10014012054 its reverse (45021041001), we get a palindrome (55035053055).

The spelling of 10014012054 in words is "ten billion, fourteen million, twelve thousand, fifty-four".

Divisors: 1 2 3 6 9 18 19 38 57 103 114 171 206 271 309 342 542 618 813 927 1049 1626 1854 1957 2098 2439 3147 3914 4878 5149 5871 6294 9441 10298 11742 15447 17613 18882 19931 27913 30894 35226 39862 46341 55826 59793 83739 92682 108047 119586 167478 179379 216094 251217 284279 324141 358758 502434 530347 568558 648282 852837 972423 1060694 1591041 1705674 1944846 2052893 2558511 3182082 4105786 4773123 5117022 5401301 6158679 9546246 10802602 12317358 16203903 18476037 29280737 32407806 36952074 48611709 58561474 87842211 97223418 175684422 263526633 527053266 556334003 1112668006 1669002009 3338004018 5007006027 10014012054