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30807601993728 = 2113371719292293
BaseRepresentation
bin1110000000100111101000…
…01011000101100000000000
311001002011210202022210102000
413000103310023011200000
513014222432102244403
6145304452244424000
76326530045152240
oct700236413054000
9131064722283360
1030807601993728
1198a848119a19a
1235568776a8000
1314261b5337a61
1478714b1b3b20
1538659a6987a3
hex1c04f42c5800

30807601993728 has 2304 divisors, whose sum is σ = 120801373056000. Its totient is φ = 7551880003584.

The previous prime is 30807601993723. The next prime is 30807601993733. The reversal of 30807601993728 is 82739910670803.

30807601993728 is a `hidden beast` number, since 3 + 0 + 8 + 0 + 76 + 0 + 199 + 372 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (30807601993723) and next prime (30807601993733).

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30807601993723) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 105145399150 + ... + 105145399442.

It is an arithmetic number, because the mean of its divisors is an integer number (52431151500).

Almost surely, 230807601993728 is an apocalyptic number.

30807601993728 is a gapful number since it is divisible by the number (38) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30807601993728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60400686528000).

30807601993728 is an abundant number, since it is smaller than the sum of its proper divisors (89993771062272).

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

30807601993728 is a wasteful number, since it uses less digits than its factorization.

30807601993728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 30807601993728 in words is "thirty trillion, eight hundred seven billion, six hundred one million, nine hundred ninety-three thousand, seven hundred twenty-eight".