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100830733728 = 2536117218363
BaseRepresentation
bin101110111100111111…
…0101110010110100000
3100122021001210222200120
41131321332232112200
53123000131434403
6114153200320240
710166452044504
oct1357176562640
9318231728616
10100830733728
11398423586aa
1217660013080
13967b96356a
144c4750a304
152952132e53
hex1779fae5a0

100830733728 has 48 divisors (see below), whose sum is σ = 269019719136. Its totient is φ = 33059255040.

The previous prime is 100830733723. The next prime is 100830733741. The reversal of 100830733728 is 827337038001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 100830733728.

It is not an unprimeable number, because it can be changed into a prime (100830733723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8603326 + ... + 8615037.

It is an arithmetic number, because the mean of its divisors is an integer number (5604577482).

Almost surely, 2100830733728 is an apocalyptic number.

It is an amenable number.

100830733728 is an abundant number, since it is smaller than the sum of its proper divisors (168188985408).

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

100830733728 is a wasteful number, since it uses less digits than its factorization.

100830733728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17218437 (or 17218429 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The spelling of 100830733728 in words is "one hundred billion, eight hundred thirty million, seven hundred thirty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 17218363 34436726 51655089 68873452 103310178 137746904 206620356 275493808 413240712 550987616 826481424 1050320143 1652962848 2100640286 3150960429 4201280572 6301920858 8402561144 12603841716 16805122288 25207683432 33610244576 50415366864 100830733728