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5007994560 = 26335579629
BaseRepresentation
bin1001010100111111…
…11110111011000000
3110221000102111001000
410222133332323000
540224021311220
62144534412000
7235050152142
oct45237767300
913830374030
105007994560
11213a978488
12b79201000
1361a6ca6ba
14357182c92
151e49d5390
hex12a7feec0

5007994560 has 112 divisors (see below), whose sum is σ = 17667122400. Its totient is φ = 1335462912.

The previous prime is 5007994553. The next prime is 5007994571. The reversal of 5007994560 is 654997005.

It is a happy number.

5007994560 is a `hidden beast` number, since 500 + 7 + 9 + 94 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 281175 + ... + 298454.

Almost surely, 25007994560 is an apocalyptic number.

It is an amenable number.

5007994560 is an abundant number, since it is smaller than the sum of its proper divisors (12659127840).

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

5007994560 is a wasteful number, since it uses less digits than its factorization.

5007994560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579655 (or 579639 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 5007994560 is about 70767.1856159336. The cubic root of 5007994560 is about 1710.8868283961.

The spelling of 5007994560 in words is "five billion, seven million, nine hundred ninety-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 579629 1159258 1738887 2318516 2898145 3477774 4637032 5216661 5796290 6955548 8694435 9274064 10433322 11592580 13911096 15649983 17388870 18548128 20866644 23185160 26083305 27822192 31299966 34777740 37096256 41733288 46370320 52166610 55644384 62599932 69555480 78249915 83466576 92740640 104333220 111288768 125199864 139110960 156499830 166933152 185481280 208666440 250399728 278221920 312999660 333866304 417332880 500799456 556443840 625999320 834665760 1001598912 1251998640 1669331520 2503997280 5007994560