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30680495353872 = 243371317311480903
BaseRepresentation
bin1101111100111010111000…
…00001101111000000010000
311000122000201110202110202000
412332131130001233000100
513010132123302310442
6145130231444154000
76314410163432220
oct676353401570020
9130560643673660
1030680495353872
1198595858743a1
123536103998900
131417209a1a960
14780d300b2080
1538310b861d4c
hex1be75c06f010

30680495353872 has 640 divisors, whose sum is σ = 118464737771520. Its totient is φ = 7369916129280.

The previous prime is 30680495353867. The next prime is 30680495353919. The reversal of 30680495353872 is 27835359408603.

It is a happy number.

30680495353872 is a `hidden beast` number, since 3 + 0 + 6 + 8 + 0 + 4 + 95 + 3 + 538 + 7 + 2 = 666.

It is a super-2 number, since 2×306804953538722 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 19976973 + ... + 21457875.

It is an arithmetic number, because the mean of its divisors is an integer number (185101152768).

Almost surely, 230680495353872 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 30680495353872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59232368885760).

30680495353872 is an abundant number, since it is smaller than the sum of its proper divisors (87784242417648).

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

30680495353872 is a wasteful number, since it uses less digits than its factorization.

30680495353872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1480988 (or 1480976 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 30680495353872 in words is "thirty trillion, six hundred eighty billion, four hundred ninety-five million, three hundred fifty-three thousand, eight hundred seventy-two".