Search a number
-
+
10210295709952 = 281316273188533
BaseRepresentation
bin1001010010010100010100…
…0011001000000100000000
31100011002120001201012020121
42110211011003020010000
52314241141200204302
633414313423550024
72102445434364352
oct224450503100400
940132501635217
1010210295709952
113287186823518
12118a9a745b314
13590a994c0060
1427427674b0d2
1512a8d71d7e37
hex949450c8100

10210295709952 has 72 divisors (see below), whose sum is σ = 21949919368664. Its totient is φ = 4712129593344.

The previous prime is 10210295709937. The next prime is 10210295709973. The reversal of 10210295709952 is 25990759201201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3847309639936 + 6362986070016 = 1961456^2 + 2522496^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 10210295709952.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54062278 + ... + 54250810.

Almost surely, 210210295709952 is an apocalyptic number.

It is an amenable number.

10210295709952 is an abundant number, since it is smaller than the sum of its proper divisors (11739623658712).

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

10210295709952 is a wasteful number, since it uses less digits than its factorization.

10210295709952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204835 (or 204821 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 52.

The spelling of 10210295709952 in words is "ten trillion, two hundred ten billion, two hundred ninety-five million, seven hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1664 3328 16273 32546 65092 130184 188533 211549 260368 377066 423098 520736 754132 846196 1041472 1508264 1692392 2082944 2450929 3016528 3384784 4165888 4901858 6033056 6769568 9803716 12066112 13539136 19607432 24132224 27078272 39214864 48264448 54156544 78429728 156859456 313718912 627437824 3067997509 6135995018 12271990036 24543980072 39883967617 49087960144 79767935234 98175920288 159535870468 196351840576 319071740936 392703681152 638143481872 785407362304 1276286963744 2552573927488 5105147854976 10210295709952