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30935181456 = 2432146572
BaseRepresentation
bin11100110011111000…
…010110100010010000
32221211221000001011100
4130303320112202100
51001323401301311
622113400144400
72143413463254
oct346370264220
987757001140
1030935181456
1112135115773
125bb4168100
132bc0058cca
1416d6722264
15c10ca4a56
hex733e16890

30935181456 has 45 divisors (see below), whose sum is σ = 86581449721. Its totient is φ = 10311023616.

The previous prime is 30935181443. The next prime is 30935181463. The reversal of 30935181456 is 65418153903.

The square root of 30935181456 is 175884.

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

30935181456 is a `hidden beast` number, since 3 + 0 + 93 + 518 + 1 + 45 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30800250000 + 134931456 = 175500^2 + 11616^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2103280 + ... + 2117936.

Almost surely, 230935181456 is an apocalyptic number.

30935181456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30935181456 is the 175884-th square number.

It is an amenable number.

30935181456 is an abundant number, since it is smaller than the sum of its proper divisors (55646268265).

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

30935181456 is an frugal number, since it uses more digits than its factorization.

30935181456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29328 (or 14662 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 30935181456 in words is "thirty billion, nine hundred thirty-five million, one hundred eighty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14657 29314 43971 58628 87942 117256 131913 175884 234512 263826 351768 527652 703536 1055304 2110608 214827649 429655298 644482947 859310596 1288965894 1718621192 1933448841 2577931788 3437242384 3866897682 5155863576 7733795364 10311727152 15467590728 30935181456