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10075950149760 = 2733511234749037
BaseRepresentation
bin1001001010011111110101…
…1011011111000010000000
31022200020210021211121201000
42102213331123133002000
52310041021214243020
633232454432212000
72056651303100325
oct222477533370200
938606707747630
1010075950149760
1132352061a8730
12116895339a000
13581209236741
1426b970098b4c
15127172ae1090
hex929fd6df080

10075950149760 has 1024 divisors, whose sum is σ = 41487560294400. Its totient is φ = 2286693826560.

The previous prime is 10075950149729. The next prime is 10075950149761. The reversal of 10075950149760 is 6794105957001.

10075950149760 is a `hidden beast` number, since 1 + 0 + 0 + 7 + 5 + 95 + 0 + 1 + 497 + 60 = 666.

10075950149760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10075950149697 and 10075950149706.

It is not an unprimeable number, because it can be changed into a prime (10075950149761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205451962 + ... + 205500998.

It is an arithmetic number, because the mean of its divisors is an integer number (40515195600).

Almost surely, 210075950149760 is an apocalyptic number.

10075950149760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10075950149760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20743780147200).

10075950149760 is an abundant number, since it is smaller than the sum of its proper divisors (31411610144640).

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

10075950149760 is a wasteful number, since it uses less digits than its factorization.

10075950149760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49146 (or 49128 counting only the distinct ones).

The product of its (nonzero) digits is 2381400, while the sum is 54.

The spelling of 10075950149760 in words is "ten trillion, seventy-five billion, nine hundred fifty million, one hundred forty-nine thousand, seven hundred sixty".