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10045025604 = 22323178711437
BaseRepresentation
bin10010101101011101…
…01110110101000100
3221221001111011122100
421112232232311010
5131033011304404
64340431432100
7503632210635
oct112656566504
927831434570
1010045025604
114295178459
121b44085630
13c41123643
146b412388c
153dbd03d39
hex256baed44

10045025604 has 72 divisors (see below), whose sum is σ = 26246275328. Its totient is φ = 3235930560.

The previous prime is 10045025591. The next prime is 10045025609. The reversal of 10045025604 is 40652054001.

10045025604 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 50 + 2 + 5 + 604 = 666.

It is not an unprimeable number, because it can be changed into a prime (10045025609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 872574 + ... + 884010.

Almost surely, 210045025604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10045025604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13123137664).

10045025604 is an abundant number, since it is smaller than the sum of its proper divisors (16201249724).

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

10045025604 is a wasteful number, since it uses less digits than its factorization.

10045025604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12265 (or 12260 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10045025604 its reverse (40652054001), we get a palindrome (50697079605).

The spelling of 10045025604 in words is "ten billion, forty-five million, twenty-five thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 787 1116 1574 2361 3148 4722 7083 9444 11437 14166 22874 24397 28332 34311 45748 48794 68622 73191 97588 102933 137244 146382 205866 219573 292764 354547 411732 439146 709094 878292 1063641 1418188 2127282 3190923 4254564 6381846 9000919 12763692 18001838 27002757 36003676 54005514 81008271 108011028 162016542 279028489 324033084 558056978 837085467 1116113956 1674170934 2511256401 3348341868 5022512802 10045025604