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30415623504 = 243792997441
BaseRepresentation
bin11100010100111010…
…011001010101010000
32220111201100202122020
4130110322121111100
5444242344423004
621550040211440
72124504351120
oct342472312520
986451322566
1030415623504
1111998910132
125a8a169b80
132b39516a76
141687718c80
15bd03768d9
hex714e99550

30415623504 has 80 divisors (see below), whose sum is σ = 89896091520. Its totient is φ = 8680734720.

The previous prime is 30415623481. The next prime is 30415623509. The reversal of 30415623504 is 40532651403.

It is a super-2 number, since 2×304156235042 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30415623509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263424 + ... + 360864.

It is an arithmetic number, because the mean of its divisors is an integer number (1123701144).

Almost surely, 230415623504 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 30415623504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44948045760).

30415623504 is an abundant number, since it is smaller than the sum of its proper divisors (59480468016).

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

30415623504 is a wasteful number, since it uses less digits than its factorization.

30415623504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98388 (or 98382 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 30415623504 in words is "thirty billion, four hundred fifteen million, six hundred twenty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 929 1858 2787 3716 5574 6503 7432 11148 13006 14864 19509 22296 26012 39018 44592 52024 78036 97441 104048 156072 194882 292323 312144 389764 584646 682087 779528 1169292 1364174 1559056 2046261 2338584 2728348 4092522 4677168 5456696 8185044 10913392 16370088 32740176 90522689 181045378 271568067 362090756 543136134 633658823 724181512 1086272268 1267317646 1448363024 1900976469 2172544536 2534635292 3801952938 4345089072 5069270584 7603905876 10138541168 15207811752 30415623504