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30832027056 = 243381188003
BaseRepresentation
bin11100101101101110…
…110110010110110000
32221120201220020221000
4130231232312112300
51001120444331211
622055233202000
72141021622465
oct345556662660
987521806830
1030832027056
111209196a2a6
125b85700300
132ba487c7bc
1416c6b4d66c
15c06bca656
hex72dbb65b0

30832027056 has 80 divisors (see below), whose sum is σ = 88609467520. Its totient is φ = 10264553280.

The previous prime is 30832027049. The next prime is 30832027081. The reversal of 30832027056 is 65072023803.

30832027056 is a `hidden beast` number, since 308 + 32 + 0 + 270 + 56 = 666.

It is a super-2 number, since 2×308320270562 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30832027056.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306351 + ... + 394353.

It is an arithmetic number, because the mean of its divisors is an integer number (1107618344).

Almost surely, 230832027056 is an apocalyptic number.

30832027056 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 30832027056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44304733760).

30832027056 is an abundant number, since it is smaller than the sum of its proper divisors (57777440464).

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

30832027056 is a wasteful number, since it uses less digits than its factorization.

30832027056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88831 (or 88819 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 30832027056 in words is "thirty billion, eight hundred thirty-two million, twenty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 811 1622 2433 3244 4866 6488 7299 9732 12976 14598 19464 21897 29196 38928 43794 58392 87588 88003 116784 175176 176006 264009 350352 352012 528018 704024 792027 1056036 1408048 1584054 2112072 2376081 3168108 4224144 4752162 6336216 9504324 12672432 19008648 38017296 71370433 142740866 214111299 285481732 428222598 570963464 642333897 856445196 1141926928 1284667794 1712890392 1927001691 2569335588 3425780784 3854003382 5138671176 7708006764 10277342352 15416013528 30832027056