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10135452208 = 247297143951
BaseRepresentation
bin10010111000001111…
…01011101000110000
3222011100122022121211
421130013223220300
5131224133432313
64353421525504
7506110631230
oct113407535060
928140568554
1010135452208
114331220292
121b6a413894
13c56a947cb
146c2141cc0
153e4c16e3d
hex25c1eba30

10135452208 has 80 divisors (see below), whose sum is σ = 23544207360. Its totient is φ = 4134816000.

The previous prime is 10135452199. The next prime is 10135452221. The reversal of 10135452208 is 80225453101.

It is a self number, because there is not a number n which added to its sum of digits gives 10135452208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208633 + ... + 252583.

It is an arithmetic number, because the mean of its divisors is an integer number (294302592).

Almost surely, 210135452208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10135452208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11772103680).

10135452208 is an abundant number, since it is smaller than the sum of its proper divisors (13408755152).

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

10135452208 is a wasteful number, since it uses less digits than its factorization.

10135452208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44066 (or 44060 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 10135452208 in words is "ten billion, one hundred thirty-five million, four hundred fifty-two thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 71 112 116 142 203 232 284 406 464 497 568 812 994 1136 1624 1988 2059 3248 3976 4118 7952 8236 14413 16472 28826 32944 43951 57652 87902 115304 175804 230608 307657 351608 615314 703216 1230628 1274579 2461256 2549158 3120521 4922512 5098316 6241042 8922053 10196632 12482084 17844106 20393264 21843647 24964168 35688212 43687294 49928336 71376424 87374588 90495109 142752848 174749176 180990218 349498352 361980436 633465763 723960872 1266931526 1447921744 2533863052 5067726104 10135452208