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2116738104 = 2331314945533
BaseRepresentation
bin111111000101010…
…1101110000111000
312110112000102210120
41332022231300320
513313341104404
6550013013240
7103311656055
oct17612556070
95415012716
102116738104
11996930738
124b0a84220
132796cb670
141611a602c
15c5c719d9
hex7e2adc38

2116738104 has 64 divisors (see below), whose sum is σ = 5737284000. Its totient is φ = 646918656.

The previous prime is 2116738097. The next prime is 2116738133. The reversal of 2116738104 is 4018376112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23722 + ... + 69254.

Almost surely, 22116738104 is an apocalyptic number.

2116738104 is a gapful number since it is divisible by the number (24) 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 2116738104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868642000).

2116738104 is an abundant number, since it is smaller than the sum of its proper divisors (3620545896).

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

2116738104 is a wasteful number, since it uses less digits than its factorization.

2116738104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45704 (or 45700 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 2116738104 is about 46008.0221700520. The cubic root of 2116738104 is about 1283.9724618273.

The spelling of 2116738104 in words is "two billion, one hundred sixteen million, seven hundred thirty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 149 156 298 312 447 596 894 1192 1788 1937 3576 3874 5811 7748 11622 15496 23244 45533 46488 91066 136599 182132 273198 364264 546396 591929 1092792 1183858 1775787 2367716 3551574 4735432 6784417 7103148 13568834 14206296 20353251 27137668 40706502 54275336 81413004 88197421 162826008 176394842 264592263 352789684 529184526 705579368 1058369052 2116738104