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5114405688 = 233710722659
BaseRepresentation
bin1001100001101011…
…11010001100111000
3111012102122201122220
410300311322030320
540433241440223
62203255244040
7240511505520
oct46065721470
914172581586
105114405688
112194a48767
12ba8979620
13636777372
14367362680
151ee0046e3
hex130d7a338

5114405688 has 96 divisors (see below), whose sum is σ = 14755977600. Its totient is φ = 1447057728.

The previous prime is 5114405683. The next prime is 5114405701. The reversal of 5114405688 is 8865044115.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5114405683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1922103 + ... + 1924761.

It is an arithmetic number, because the mean of its divisors is an integer number (153708100).

Almost surely, 25114405688 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 5114405688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7377988800).

5114405688 is an abundant number, since it is smaller than the sum of its proper divisors (9641571912).

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

5114405688 is a wasteful number, since it uses less digits than its factorization.

5114405688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2778 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The square root of 5114405688 is about 71515.0731524481. The cubic root of 5114405688 is about 1722.9197847228.

The spelling of 5114405688 in words is "five billion, one hundred fourteen million, four hundred five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 107 168 214 321 428 642 749 856 1284 1498 2247 2568 2659 2996 4494 5318 5992 7977 8988 10636 11449 15954 17976 18613 21272 22898 31908 34347 37226 45796 55839 63816 68694 74452 80143 91592 111678 137388 148904 160286 223356 240429 274776 284513 320572 446712 480858 569026 641144 853539 961716 1138052 1707078 1923432 1991591 2276104 3414156 3983182 5974773 6828312 7966364 11949546 15932728 23899092 30442891 47798184 60885782 91328673 121771564 182657346 213100237 243543128 365314692 426200474 639300711 730629384 852400948 1278601422 1704801896 2557202844 5114405688