Search a number
-
+
10650479904 = 253236980833
BaseRepresentation
bin10011110101101000…
…10110110100100000
31000111020202102210200
421322310112310200
5133303010324104
64520500425200
7524633404551
oct117264266440
930436672720
1010650479904
114575a11209
1220929a8200
1310096aba1c
147306ca328
1542504cb39
hex27ad16d20

10650479904 has 36 divisors (see below), whose sum is σ = 30287303046. Its totient is φ = 3550159872.

The previous prime is 10650479899. The next prime is 10650479909. The reversal of 10650479904 is 40997405601.

It is an interprime number because it is at equal distance from previous prime (10650479899) and next prime (10650479909).

It can be written as a sum of positive squares in only one way, i.e., 8907584400 + 1742895504 = 94380^2 + 41748^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106504799042 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10650479904.

It is not an unprimeable number, because it can be changed into a prime (10650479909) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18490129 + ... + 18490704.

Almost surely, 210650479904 is an apocalyptic number.

It is an amenable number.

10650479904 is an abundant number, since it is smaller than the sum of its proper divisors (19636823142).

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

10650479904 is a wasteful number, since it uses less digits than its factorization.

10650479904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36980849 (or 36980838 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 10650479904 in words is "ten billion, six hundred fifty million, four hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 36980833 73961666 110942499 147923332 221884998 295846664 332827497 443769996 591693328 665654994 887539992 1183386656 1331309988 1775079984 2662619976 3550159968 5325239952 10650479904