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5015105496 = 2333532291913
BaseRepresentation
bin1001010101110110…
…00110111111011000
3110221111210202102000
410222323012333120
540232331333441
62145351041000
7235164456552
oct45273067730
913844722360
105015105496
112143994a95
12b7b670160
1361c01a25b
143580b44d2
151e543c2b6
hex12aec6fd8

5015105496 has 128 divisors (see below), whose sum is σ = 14263128000. Its totient is φ = 1632144384.

The previous prime is 5015105441. The next prime is 5015105497. The reversal of 5015105496 is 6945015105.

5015105496 is a `hidden beast` number, since 5 + 0 + 1 + 510 + 54 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5015105496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5015105497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2620636 + ... + 2622548.

Almost surely, 25015105496 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 5015105496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131564000).

5015105496 is an abundant number, since it is smaller than the sum of its proper divisors (9248022504).

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

5015105496 is a wasteful number, since it uses less digits than its factorization.

5015105496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 5015105496 is about 70817.4095544309. The cubic root of 5015105496 is about 1711.6962177896.

The spelling of 5015105496 in words is "five billion, fifteen million, one hundred five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 212 216 229 318 424 458 477 636 687 916 954 1272 1374 1431 1832 1908 1913 2061 2748 2862 3816 3826 4122 5496 5724 5739 6183 7652 8244 11448 11478 12137 12366 15304 16488 17217 22956 24274 24732 34434 36411 45912 48548 49464 51651 68868 72822 97096 101389 103302 109233 137736 145644 202778 206604 218466 291288 304167 327699 405556 413208 436932 438077 608334 655398 811112 873864 876154 912501 1216668 1310796 1314231 1752308 1825002 2433336 2621592 2628462 2737503 3504616 3650004 3942693 5256924 5475006 7300008 7885386 10513848 10950012 11828079 15770772 21900024 23218081 23656158 31541544 46436162 47312316 69654243 92872324 94624632 139308486 185744648 208962729 278616972 417925458 557233944 626888187 835850916 1253776374 1671701832 2507552748 5015105496