Search a number
-
+
11167620992 = 271123393391
BaseRepresentation
bin10100110011010010…
…00101111110000000
31001211021211221000022
422121221011332000
5140332402332432
65044052513012
7543513132533
oct123151057600
931737757008
1011167620992
114810915a40
1221b801b768
13108c885b78
1477d264a1a
1545564eb12
hex299a45f80

11167620992 has 64 divisors (see below), whose sum is σ = 24288076800. Its totient is φ = 5072524800.

The previous prime is 11167620973. The next prime is 11167621007. The reversal of 11167620992 is 29902676111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3291617 + ... + 3295007.

It is an arithmetic number, because the mean of its divisors is an integer number (379501200).

Almost surely, 211167620992 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 11167620992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12144038400).

11167620992 is an abundant number, since it is smaller than the sum of its proper divisors (13120455808).

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

11167620992 is a wasteful number, since it uses less digits than its factorization.

11167620992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5755 (or 5743 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 44.

The spelling of 11167620992 in words is "eleven billion, one hundred sixty-seven million, six hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 2339 3391 4678 6782 9356 13564 18712 25729 27128 37301 37424 51458 54256 74602 74848 102916 108512 149204 149696 205832 217024 298408 299392 411664 434048 596816 823328 1193632 1646656 2387264 3293312 4774528 7931549 15863098 31726196 63452392 87247039 126904784 174494078 253809568 348988156 507619136 697976312 1015238272 1395952624 2791905248 5583810496 11167620992