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30898925174268 = 223623252138447
BaseRepresentation
bin1110000011010001101110…
…11101010111110111111100
311001101220112020000001000000
413001220313131113313330
513022221444321034033
6145414434213234300
76336242112323064
oct701506735276774
9131356466001000
1030898925174268
119933184800418
123570503632990
1314319aa31cca8
1478b731b083a4
15388b42c93a13
hex1c1a37757dfc

30898925174268 has 252 divisors, whose sum is σ = 84915620945568. Its totient is φ = 9832665997440.

The previous prime is 30898925174233. The next prime is 30898925174309. The reversal of 30898925174268 is 86247152989803.

30898925174268 is a `hidden beast` number, since 3 + 0 + 8 + 9 + 8 + 9 + 2 + 517 + 42 + 68 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30898925174196 and 30898925174205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 803656621 + ... + 803695067.

It is an arithmetic number, because the mean of its divisors is an integer number (336966749784).

It is a 1-persistent number, because it is pandigital, but 2⋅30898925174268 = 61797850348536 is not.

Almost surely, 230898925174268 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 30898925174268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42457810472784).

30898925174268 is an abundant number, since it is smaller than the sum of its proper divisors (54016695771300).

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

30898925174268 is a wasteful number, since it uses less digits than its factorization.

30898925174268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39036 (or 38996 counting only the distinct ones).

The product of its (nonzero) digits is 418037760, while the sum is 72.

The spelling of 30898925174268 in words is "thirty trillion, eight hundred ninety-eight billion, nine hundred twenty-five million, one hundred seventy-four thousand, two hundred sixty-eight".