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10150577152 = 21019351361
BaseRepresentation
bin10010111010000010…
…11000010000000000
3222012102002202010221
421131001120100000
5131242021432102
64355122032424
7506353324252
oct113501302000
928172082127
1010150577152
114339810941
121b734a8714
13c59c5bc91
146c415bcd2
153e6203637
hex25d058400

10150577152 has 44 divisors (see below), whose sum is σ = 20396774716. Its totient is φ = 5048893440.

The previous prime is 10150577137. The next prime is 10150577207. The reversal of 10150577152 is 25177505101.

It can be written as a sum of positive squares in 2 ways, for example, as 1221083136 + 8929494016 = 34944^2 + 94496^2 .

It is a super-2 number, since 2×101505771522 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171952 + ... + 223312.

Almost surely, 210150577152 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 10150577152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10198387358).

10150577152 is an abundant number, since it is smaller than the sum of its proper divisors (10246197564).

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

10150577152 is an equidigital number, since it uses as much as digits as its factorization.

10150577152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51574 (or 51556 counting only the distinct ones).

The product of its (nonzero) digits is 12250, while the sum is 34.

The spelling of 10150577152 in words is "ten billion, one hundred fifty million, five hundred seventy-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 193 256 386 512 772 1024 1544 3088 6176 12352 24704 49408 51361 98816 102722 197632 205444 410888 821776 1643552 3287104 6574208 9912673 13148416 19825346 26296832 39650692 52593664 79301384 158602768 317205536 634411072 1268822144 2537644288 5075288576 10150577152