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11609085964 = 22723311513851
BaseRepresentation
bin10101100111111010…
…01001100000001100
31002222001112200002211
422303331021200030
5142233411222324
65155543000204
7560453413450
oct126375114014
932861480084
1011609085964
114a18032123
1222bba39064
131130184a48
147c1b40660
1547e2a4294
hex2b3f4980c

11609085964 has 96 divisors (see below), whose sum is σ = 25181356032. Its totient is φ = 4573800000.

The previous prime is 11609085907. The next prime is 11609085977. The reversal of 11609085964 is 46958090611.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3012639 + ... + 3016489.

It is an arithmetic number, because the mean of its divisors is an integer number (262305792).

Almost surely, 211609085964 is an apocalyptic number.

11609085964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11609085964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12590678016).

11609085964 is an abundant number, since it is smaller than the sum of its proper divisors (13572270068).

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

11609085964 is a wasteful number, since it uses less digits than its factorization.

11609085964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4067 (or 4065 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

The spelling of 11609085964 in words is "eleven billion, six hundred nine million, eighty-five thousand, nine hundred sixty-four".

Divisors: 1 2 4 7 14 23 28 31 46 62 92 124 151 161 217 302 322 434 604 644 713 868 1057 1426 2114 2852 3473 3851 4228 4681 4991 6946 7702 9362 9982 13892 15404 18724 19964 24311 26957 32767 48622 53914 65534 88573 97244 107663 107828 119381 131068 177146 215326 238762 354292 430652 477524 581501 620011 753641 835667 1163002 1240022 1507282 1671334 2326004 2480044 2745763 3014564 3342668 4070507 5491526 8141014 10983052 13374523 16282028 18026531 19220341 26749046 36053062 38440682 53498092 72106124 76881364 93621661 126185717 187243322 252371434 374486644 414610213 504742868 829220426 1658440852 2902271491 5804542982 11609085964