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5015556672 = 263714472579
BaseRepresentation
bin1001010101111001…
…10101001001000000
3110221112122200022020
410222330311021000
540232440303142
62145404441440
7235201346130
oct45274651100
913845580266
105015556672
112144172a65
12b7b849280
1361c147719
14358190ac0
151e54cacec
hex12af35240

5015556672 has 112 divisors (see below), whose sum is σ = 15182453760. Its totient is φ = 1431470592.

The previous prime is 5015556659. The next prime is 5015556779. The reversal of 5015556672 is 2766555105.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1943479 + ... + 1946057.

Almost surely, 25015556672 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 5015556672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7591226880).

5015556672 is an abundant number, since it is smaller than the sum of its proper divisors (10166897088).

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

5015556672 is a wasteful number, since it uses less digits than its factorization.

5015556672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4048 (or 4038 counting only the distinct ones).

The product of its (nonzero) digits is 315000, while the sum is 42.

The square root of 5015556672 is about 70820.5949706722. The cubic root of 5015556672 is about 1711.7475462609.

The spelling of 5015556672 in words is "five billion, fifteen million, five hundred fifty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 1447 2579 2894 4341 5158 5788 7737 8682 10129 10316 11576 15474 17364 18053 20258 20632 23152 30387 30948 34728 36106 40516 41264 46304 54159 60774 61896 69456 72212 81032 82528 92608 108318 121548 123792 138912 144424 162064 165056 216636 243096 247584 277824 288848 324128 433272 486192 495168 577696 648256 866544 972384 1155392 1733088 1944768 3466176 3731813 7463626 11195439 14927252 22390878 26122691 29854504 44781756 52245382 59709008 78368073 89563512 104490764 119418016 156736146 179127024 208981528 238836032 313472292 358254048 417963056 626944584 716508096 835926112 1253889168 1671852224 2507778336 5015556672