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2114718804 = 22321121125309
BaseRepresentation
bin111111000001100…
…0000110001010100
312110101012211211200
41332003000301110
513312332000204
6545501432500
7103255545642
oct17603006124
95411184750
102114718804
119957815a0
124b026b730
13279172503
14160bdc192
15c59c3539
hex7e0c0c54

2114718804 has 72 divisors (see below), whose sum is σ = 5859366240. Its totient is φ = 637761600.

The previous prime is 2114718803. The next prime is 2114718821. The reversal of 2114718804 is 4088174112.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2114718803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70902 + ... + 96210.

Almost surely, 22114718804 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 2114718804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929683120).

2114718804 is an abundant number, since it is smaller than the sum of its proper divisors (3744647436).

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

2114718804 is a wasteful number, since it uses less digits than its factorization.

2114718804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25541 (or 25536 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 2114718804 is about 45986.0718478976. The cubic root of 2114718804 is about 1283.5640424636.

The spelling of 2114718804 in words is "two billion, one hundred fourteen million, seven hundred eighteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 211 396 422 633 844 1266 1899 2321 2532 3798 4642 6963 7596 9284 13926 20889 25309 27852 41778 50618 75927 83556 101236 151854 227781 278399 303708 455562 556798 835197 911124 1113596 1670394 2505591 3340788 5011182 5340199 10022364 10680398 16020597 21360796 32041194 48061791 58742189 64082388 96123582 117484378 176226567 192247164 234968756 352453134 528679701 704906268 1057359402 2114718804