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3053293664 = 253112832399
BaseRepresentation
bin1011010111111101…
…1001000001100000
321212210022101111112
42311333121001200
522223120344124
61222550402452
7135443365541
oct26577310140
97783271445
103053293664
1113275607a3
12712660428
13398753b55
1420d71a4c8
1512d0be90e
hexb5fd9060

3053293664 has 48 divisors (see below), whose sum is σ = 6212505600. Its totient is φ = 1475633280.

The previous prime is 3053293651. The next prime is 3053293697. The reversal of 3053293664 is 4663923503.

3053293664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1271537 + ... + 1273935.

It is an arithmetic number, because the mean of its divisors is an integer number (129427200).

Almost surely, 23053293664 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 3053293664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106252800).

3053293664 is an abundant number, since it is smaller than the sum of its proper divisors (3159211936).

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

3053293664 is a wasteful number, since it uses less digits than its factorization.

3053293664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3723 (or 3715 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 41.

The square root of 3053293664 is about 55256.6164725999. The cubic root of 3053293664 is about 1450.7397991008.

The spelling of 3053293664 in words is "three billion, fifty-three million, two hundred ninety-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 31 32 62 124 248 496 992 1283 2399 2566 4798 5132 9596 10264 19192 20528 38384 39773 41056 74369 76768 79546 148738 159092 297476 318184 594952 636368 1189904 1272736 2379808 3077917 6155834 12311668 24623336 49246672 95415427 98493344 190830854 381661708 763323416 1526646832 3053293664