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34720054128 = 2432250396329
BaseRepresentation
bin100000010101011110…
…011111101101110000
310022121200220111101200
4200111132133231300
51032101313213003
623541123131200
72336252406414
oct402536375560
9108550814350
1034720054128
11137a7624611
12688b813b00
133374227b36
141975276d44
15d831d36a3
hex81579fb70

34720054128 has 60 divisors (see below), whose sum is σ = 97207758960. Its totient is φ = 11568607488.

The previous prime is 34720054123. The next prime is 34720054169. The reversal of 34720054128 is 82145002743.

It is a happy number.

34720054128 is a `hidden beast` number, since 34 + 7 + 200 + 5 + 412 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 34720054092 and 34720054101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34720054123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312268 + ... + 408596.

It is an arithmetic number, because the mean of its divisors is an integer number (1620129316).

Almost surely, 234720054128 is an apocalyptic number.

It is an amenable number.

34720054128 is an abundant number, since it is smaller than the sum of its proper divisors (62487704832).

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

34720054128 is a wasteful number, since it uses less digits than its factorization.

34720054128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98846 (or 98837 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 34720054128 in words is "thirty-four billion, seven hundred twenty million, fifty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 2503 5006 7509 10012 15018 20024 22527 30036 40048 45054 60072 90108 96329 120144 180216 192658 288987 360432 385316 577974 770632 866961 1155948 1541264 1733922 2311896 3467844 4623792 6935688 13871376 241111487 482222974 723334461 964445948 1446668922 1928891896 2170003383 2893337844 3857783792 4340006766 5786675688 8680013532 11573351376 17360027064 34720054128