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5076446464 = 28791032437
BaseRepresentation
bin1001011101001010…
…00110110100000000
3111002210020012101201
410232211012310000
540344032241324
62155421510544
7236541040315
oct45645066400
914083205351
105076446464
112175581401
12b98112454
1362b94669b
143622c0d0c
151eaa07444
hex12e946d00

5076446464 has 72 divisors (see below), whose sum is σ = 10365205760. Its totient is φ = 2480744448.

The previous prime is 5076446443. The next prime is 5076446471. The reversal of 5076446464 is 4646446705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2081854 + ... + 2084290.

Almost surely, 25076446464 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 5076446464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182602880).

5076446464 is an abundant number, since it is smaller than the sum of its proper divisors (5288759296).

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

5076446464 is a wasteful number, since it uses less digits than its factorization.

5076446464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2621 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 46.

The square root of 5076446464 is about 71249.1857076276. The cubic root of 5076446464 is about 1718.6466801954.

The spelling of 5076446464 in words is "five billion, seventy-six million, four hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 79 103 128 158 206 256 316 412 632 824 1264 1648 2437 2528 3296 4874 5056 6592 8137 9748 10112 13184 16274 19496 20224 26368 32548 38992 65096 77984 130192 155968 192523 251011 260384 311936 385046 502022 520768 623872 770092 1004044 1041536 1540184 2008088 2083072 3080368 4016176 6160736 8032352 12321472 16064704 19829869 24642944 32129408 39659738 49285888 64258816 79319476 158638952 317277904 634555808 1269111616 2538223232 5076446464