Search a number
-
+
10074710952 = 2332178230973
BaseRepresentation
bin10010110000111111…
…11110001110101000
3222000010100100021200
421120133332032220
5131113111222302
64343412004200
7504442426065
oct113037761650
928003310250
1010074710952
1142aaa034a9
121b52000660
13c47318337
146b804dc6c
153de71981c
hex2587fe3a8

10074710952 has 48 divisors (see below), whose sum is σ = 28890718740. Its totient is φ = 3160693248.

The previous prime is 10074710869. The next prime is 10074710957. The reversal of 10074710952 is 25901747001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8829609156 + 1245101796 = 93966^2 + 35286^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10074710957) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4114263 + ... + 4116710.

Almost surely, 210074710952 is an apocalyptic number.

10074710952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10074710952 is an abundant number, since it is smaller than the sum of its proper divisors (18816007788).

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

10074710952 is a wasteful number, since it uses less digits than its factorization.

10074710952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8231002 (or 8230995 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 10074710952 in words is "ten billion, seventy-four million, seven hundred ten thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 8230973 16461946 24692919 32923892 49385838 65847784 74078757 98771676 139926541 148157514 197543352 279853082 296315028 419779623 559706164 592630056 839559246 1119412328 1259338869 1679118492 2518677738 3358236984 5037355476 10074710952