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5106086656 = 28115233467
BaseRepresentation
bin1001100000101100…
…01011001100000000
3111011212000002002121
410300112023030000
540424124233111
62202401054024
7240351010006
oct46026131400
914155002077
105106086656
112190286530
12ba6027314
13634b23968
143661d8a76
151ed40e871
hex13058b300

5106086656 has 72 divisors (see below), whose sum is σ = 11143266624. Its totient is φ = 2315842560.

The previous prime is 5106086653. The next prime is 5106086701. The reversal of 5106086656 is 6566806015.

It is not an unprimeable number, because it can be changed into a prime (5106086651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1471035 + ... + 1474501.

It is an arithmetic number, because the mean of its divisors is an integer number (154767592).

Almost surely, 25106086656 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 5106086656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571633312).

5106086656 is an abundant number, since it is smaller than the sum of its proper divisors (6037179968).

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

5106086656 is a wasteful number, since it uses less digits than its factorization.

5106086656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017 (or 4003 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 43.

The square root of 5106086656 is about 71456.8866940059. The cubic root of 5106086656 is about 1721.9851174295.

The spelling of 5106086656 in words is "five billion, one hundred six million, eighty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 523 704 1046 1408 2092 2816 3467 4184 5753 6934 8368 11506 13868 16736 23012 27736 33472 38137 46024 55472 66944 76274 92048 110944 133888 152548 184096 221888 305096 368192 443776 610192 736384 887552 1220384 1472768 1813241 2440768 3626482 4881536 7252964 9763072 14505928 19945651 29011856 39891302 58023712 79782604 116047424 159565208 232094848 319130416 464189696 638260832 1276521664 2553043328 5106086656