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30188804980356 = 2232112172592832
BaseRepresentation
bin1101101110100111000001…
…11111110011111010000100
310221220000120201120112002100
412313103200333303322010
512424103133033332411
6144112313501112100
76234032505265041
oct667234077637204
9127800521515070
1030188804980356
11968a000433300
123476961858630
1313aca3b301639
147652087141c8
153754304da456
hex1b74e0ff3e84

30188804980356 has 729 divisors, whose sum is σ = 91743858350053. Its totient is φ = 8362088993280.

The previous prime is 30188804980309. The next prime is 30188804980393. The reversal of 30188804980356 is 65308940888103.

The square root of 30188804980356 is 5494434.

It is a perfect power (a square), and thus also a powerful number.

30188804980356 is a `hidden beast` number, since 3 + 0 + 18 + 8 + 80 + 498 + 0 + 3 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23503394880900 + 6685410099456 = 4848030^2 + 2585616^2 .

It is a super-2 number, since 2×301888049803562 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30188804980293 and 30188804980302.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 363720541891 + ... + 363720541973.

Almost surely, 230188804980356 is an apocalyptic number.

30188804980356 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30188804980356 is the 5494434-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30188804980356

30188804980356 is an abundant number, since it is smaller than the sum of its proper divisors (61555053369697).

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

30188804980356 is a wasteful number, since it uses less digits than its factorization.

30188804980356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 30188804980356 in words is "thirty trillion, one hundred eighty-eight billion, eight hundred four million, nine hundred eighty thousand, three hundred fifty-six".