Search a number
-
+
10100086646752 = 252991991183141
BaseRepresentation
bin1001001011111001110000…
…0100111010011111100000
31022202120002101220201002001
42102332130010322133200
52310434434140144002
633251525445133344
72061464363661244
oct222763404723740
938676071821061
1010100086646752
113244471670103
12117156a6ba254
135835848b481b
1426cbbd8a6424
15127ad6a95a87
hex92f9c13a7e0

10100086646752 has 48 divisors (see below), whose sum is σ = 20572473096000. Its totient is φ = 4875369730560.

The previous prime is 10100086646731. The next prime is 10100086646779. The reversal of 10100086646752 is 25764668000101.

10100086646752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 7945102 + ... + 9128242.

It is an arithmetic number, because the mean of its divisors is an integer number (428593189500).

Almost surely, 210100086646752 is an apocalyptic number.

It is an amenable number.

10100086646752 is an abundant number, since it is smaller than the sum of its proper divisors (10472386449248).

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

10100086646752 is a wasteful number, since it uses less digits than its factorization.

10100086646752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192379 (or 1192371 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 46.

The spelling of 10100086646752 in words is "ten trillion, one hundred billion, eighty-six million, six hundred forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 9199 18398 36796 73592 147184 266771 294368 533542 1067084 1183141 2134168 2366282 4268336 4732564 8536672 9465128 18930256 34311089 37860512 68622178 137244356 274488712 548977424 1097954848 10883714059 21767428118 43534856236 87069712472 174139424944 315627707711 348278849888 631255415422 1262510830844 2525021661688 5050043323376 10100086646752