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2664613116 = 22321121735983
BaseRepresentation
bin1001111011010010…
…1100010011111100
320212200221101000200
42132310230103330
520424120104431
61120223523500
7123013560234
oct23664542374
96780841020
102664613116
111148117300
12624459590
13336076869
141b3c60cc4
15108de4ee6
hex9ed2c4fc

2664613116 has 108 divisors (see below), whose sum is σ = 7839258336. Its totient is φ = 759939840.

The previous prime is 2664613079. The next prime is 2664613117. The reversal of 2664613116 is 6113164662.

It is a happy number.

2664613116 is a `hidden beast` number, since 2 + 6 + 646 + 1 + 3 + 1 + 1 + 6 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2664613117) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56061 + ... + 92043.

Almost surely, 22664613116 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 2664613116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919629168).

2664613116 is an abundant number, since it is smaller than the sum of its proper divisors (5174645220).

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

2664613116 is a wasteful number, since it uses less digits than its factorization.

2664613116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36032 (or 36016 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2664613116 is about 51619.8907011629. The cubic root of 2664613116 is about 1386.3664941618.

Adding to 2664613116 its reverse (6113164662), we get a palindrome (8777777778).

The spelling of 2664613116 in words is "two billion, six hundred sixty-four million, six hundred thirteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 121 132 153 187 198 204 242 306 363 374 396 484 561 612 726 748 1089 1122 1452 1683 2057 2178 2244 3366 4114 4356 6171 6732 8228 12342 18513 24684 35983 37026 71966 74052 107949 143932 215898 323847 395813 431796 611711 647694 791626 1187439 1223422 1295388 1583252 1835133 2374878 2446844 3562317 3670266 4353943 4749756 5505399 6728821 7124634 7340532 8707886 11010798 13061829 13457642 14249268 17415772 20186463 22021596 26123658 26915284 39185487 40372926 52247316 60559389 74017031 78370974 80745852 121118778 148034062 156741948 222051093 242237556 296068124 444102186 666153279 888204372 1332306558 2664613116