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2151416988 = 2232731275399
BaseRepresentation
bin1000000000111100…
…0000010010011100
312112221021022021200
42000033000102130
513401230320423
6553252155500
7104212512510
oct20017002234
95487238250
102151416988
11a04467476
12500608b90
13283951206
14165a32140
15c8d21d43
hex803c049c

2151416988 has 72 divisors (see below), whose sum is σ = 6415718400. Its totient is φ = 594859680.

The previous prime is 2151416983. The next prime is 2151417017. The reversal of 2151416988 is 8896141512.

It is a happy number.

2151416988 is a `hidden beast` number, since 2 + 151 + 416 + 9 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151416983) 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, 129888 + ... + 145511.

It is an arithmetic number, because the mean of its divisors is an integer number (89107200).

Almost surely, 22151416988 is an apocalyptic number.

2151416988 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2151416988 is an abundant number, since it is smaller than the sum of its proper divisors (4264301412).

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

2151416988 is a wasteful number, since it uses less digits than its factorization.

2151416988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275447 (or 275442 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 2151416988 is about 46383.3697352834. The cubic root of 2151416988 is about 1290.9463616327.

The spelling of 2151416988 in words is "two billion, one hundred fifty-one million, four hundred sixteen thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 186 217 252 279 372 434 558 651 868 1116 1302 1953 2604 3906 7812 275399 550798 826197 1101596 1652394 1927793 2478591 3304788 3855586 4957182 5783379 7711172 8537369 9914364 11566758 17074738 17350137 23133516 25612107 34149476 34700274 51224214 59761583 69400548 76836321 102448428 119523166 153672642 179284749 239046332 307345284 358569498 537854247 717138996 1075708494 2151416988