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10245374036436 = 223711193113675113
BaseRepresentation
bin1001010100010110111111…
…1000010100100111010100
31100021110002201202210220210
42111011233320110213110
52320330011223131221
633442354310125420
72105126630263650
oct225055770244724
940243081683823
1010245374036436
1132a0047602390
121195757050870
13594199a09466
14275c43405a60
1512b78ba8b276
hex9516fe149d4

10245374036436 has 384 divisors, whose sum is σ = 31566206730240. Its totient is φ = 2505632486400.

The previous prime is 10245374036363. The next prime is 10245374036453. The reversal of 10245374036436 is 63463047354201.

It is a happy number.

10245374036436 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 127 ways as a sum of consecutive naturals, for example, 2003786616 + ... + 2003791728.

It is an arithmetic number, because the mean of its divisors is an integer number (82203663360).

Almost surely, 210245374036436 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 10245374036436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15783103365120).

10245374036436 is an abundant number, since it is smaller than the sum of its proper divisors (21320832693804).

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

10245374036436 is a wasteful number, since it uses less digits than its factorization.

10245374036436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5835 (or 5833 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 48.

The spelling of 10245374036436 in words is "ten trillion, two hundred forty-five billion, three hundred seventy-four million, thirty-six thousand, four hundred thirty-six".