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5149617696 = 2532172936269
BaseRepresentation
bin1001100101111000…
…01110111000100000
3111021212220200110100
410302330032320200
541021300231241
62210554102400
7241420012446
oct46274167040
914255820410
105149617696
112202908aa3
12bb871aa00
13640b55782
1436bccab96
1520215c9b6
hex132f0ee20

5149617696 has 144 divisors (see below), whose sum is σ = 16040770200. Its totient is φ = 1559814144.

The previous prime is 5149617673. The next prime is 5149617727. The reversal of 5149617696 is 6967169415.

It is a happy number.

5149617696 is a `hidden beast` number, since 5 + 14 + 9 + 617 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5106531600 + 43086096 = 71460^2 + 6564^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123850 + ... + 160118.

Almost surely, 25149617696 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 5149617696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8020385100).

5149617696 is an abundant number, since it is smaller than the sum of its proper divisors (10891152504).

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

5149617696 is a wasteful number, since it uses less digits than its factorization.

5149617696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36331 (or 36320 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The square root of 5149617696 is about 71760.8367844188. The cubic root of 5149617696 is about 1726.8647700499.

The spelling of 5149617696 in words is "five billion, one hundred forty-nine million, six hundred seventeen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 68 72 87 96 102 116 136 144 153 174 204 232 261 272 288 306 348 408 464 493 522 544 612 696 816 928 986 1044 1224 1392 1479 1632 1972 2088 2448 2784 2958 3944 4176 4437 4896 5916 7888 8352 8874 11832 15776 17748 23664 35496 36269 47328 70992 72538 108807 141984 145076 217614 290152 326421 435228 580304 616573 652842 870456 1051801 1160608 1233146 1305684 1740912 1849719 2103602 2466292 2611368 3155403 3481824 3699438 4207204 4932584 5222736 5549157 6310806 7398876 8414408 9466209 9865168 10445472 11098314 12621612 14797752 16828816 17880617 18932418 19730336 22196628 25243224 29595504 33657632 35761234 37864836 44393256 50486448 53641851 59191008 71522468 75729672 88786512 100972896 107283702 143044936 151459344 160925553 177573024 214567404 286089872 302918688 321851106 429134808 572179744 643702212 858269616 1287404424 1716539232 2574808848 5149617696