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30200675046696 = 233371119717318439
BaseRepresentation
bin1101101110111101001001…
…00000100001010100101000
310221221011012222012100222000
412313132210200201110220
512424301440302443241
6144121555405531000
76234632611215330
oct667364440412450
9127834188170860
1030200675046696
119694041808890
123479114b73a60
1313b0bb057192b
14765a12d8c0c0
153758c7641eb6
hex1b77a4821528

30200675046696 has 1024 divisors, whose sum is σ = 113182064640000. Its totient is φ = 7226043955200.

The previous prime is 30200675046551. The next prime is 30200675046833. The reversal of 30200675046696 is 69664057600203.

30200675046696 is a `hidden beast` number, since 3 + 0 + 20 + 0 + 6 + 75 + 0 + 466 + 96 = 666.

It is a super-2 number, since 2×302006750466962 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1637860245 + ... + 1637878683.

It is an arithmetic number, because the mean of its divisors is an integer number (110529360000).

Almost surely, 230200675046696 is an apocalyptic number.

30200675046696 is a gapful number since it is divisible by the number (36) 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 30200675046696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56591032320000).

30200675046696 is an abundant number, since it is smaller than the sum of its proper divisors (82981389593304).

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

30200675046696 is a wasteful number, since it uses less digits than its factorization.

30200675046696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18635 (or 18625 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 30200675046696 in words is "thirty trillion, two hundred billion, six hundred seventy-five million, forty-six thousand, six hundred ninety-six".