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5181574656 = 2936595119
BaseRepresentation
bin1001101001101100…
…01000111000000000
3111101010001021011110
410310312020320000
541102440342111
62214055043320
7242255441436
oct46466107000
914333037143
105181574656
112219955805
121007370540
1364766440b
14372248d56
15204d715a6
hex134d88e00

5181574656 has 80 divisors (see below), whose sum is σ = 13827686400. Its totient is φ = 1724233728.

The previous prime is 5181574603. The next prime is 5181574693. The reversal of 5181574656 is 6564751815.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 1009665 + ... + 1014783.

It is an arithmetic number, because the mean of its divisors is an integer number (172846080).

Almost surely, 25181574656 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 5181574656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6913843200).

5181574656 is an abundant number, since it is smaller than the sum of its proper divisors (8646111744).

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

5181574656 is an equidigital number, since it uses as much as digits as its factorization.

5181574656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5799 (or 5783 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 48.

The square root of 5181574656 is about 71983.1553629042. The cubic root of 5181574656 is about 1730.4295386134.

The spelling of 5181574656 in words is "five billion, one hundred eighty-one million, five hundred seventy-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 659 768 1318 1536 1977 2636 3954 5119 5272 7908 10238 10544 15357 15816 20476 21088 30714 31632 40952 42176 61428 63264 81904 84352 122856 126528 163808 168704 245712 253056 327616 337408 491424 506112 655232 982848 1012224 1310464 1965696 2620928 3373421 3931392 6746842 7862784 10120263 13493684 20240526 26987368 40481052 53974736 80962104 107949472 161924208 215898944 323848416 431797888 647696832 863595776 1295393664 1727191552 2590787328 5181574656