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10625965650 = 23252191242803
BaseRepresentation
bin10011110010101101…
…10101111001010010
31000102112121222120100
421321112311321102
5133230221400100
64514223153230
7524215134456
oct117126657122
930375558510
1010625965650
1145630982a3
122086745816
1310045a7951
1472b348666
15422d09400
hex2795b5e52

10625965650 has 72 divisors (see below), whose sum is σ = 30051000720. Its totient is φ = 2684452320.

The previous prime is 10625965627. The next prime is 10625965663. The reversal of 10625965650 is 5656952601.

10625965650 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 596 + 5 + 6 + 50 = 666.

It is a super-2 number, since 2×106259656502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 10625965596 and 10625965605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 612852 + ... + 629951.

It is an arithmetic number, because the mean of its divisors is an integer number (417375010).

Almost surely, 210625965650 is an apocalyptic number.

10625965650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10625965650 is an abundant number, since it is smaller than the sum of its proper divisors (19425035070).

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

10625965650 is a wasteful number, since it uses less digits than its factorization.

10625965650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242840 (or 1242832 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 10625965650 in words is "ten billion, six hundred twenty-five million, nine hundred sixty-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1425 1710 2850 4275 8550 1242803 2485606 3728409 6214015 7456818 11185227 12428030 18642045 22370454 23613257 31070075 37284090 47226514 55926135 62140150 70839771 93210225 111852270 118066285 141679542 186420450 212519313 236132570 279630675 354198855 425038626 559261350 590331425 708397710 1062596565 1180662850 1770994275 2125193130 3541988550 5312982825 10625965650