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2092065696 = 253271761043
BaseRepresentation
bin111110010110010…
…0110001110100000
312101210120221121200
41330230212032200
513241032100241
6543332121200
7102562156620
oct17454461640
95353527550
102092065696
11983a09a16
124a4766200
132745705c6
1415bbc2880
15c39eb4b6
hex7cb263a0

2092065696 has 144 divisors (see below), whose sum is σ = 7199285184. Its totient is φ = 562563072.

The previous prime is 2092065691. The next prime is 2092065697. The reversal of 2092065696 is 6965602902.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2092065691) 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, 3751 + ... + 64793.

It is an arithmetic number, because the mean of its divisors is an integer number (49995036).

Almost surely, 22092065696 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 2092065696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599642592).

2092065696 is an abundant number, since it is smaller than the sum of its proper divisors (5107219488).

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

2092065696 is a wasteful number, since it uses less digits than its factorization.

2092065696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61083 (or 61072 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 2092065696 is about 45739.1046698555. The cubic root of 2092065696 is about 1278.9643510838.

The spelling of 2092065696 in words is "two billion, ninety-two million, sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 32 34 36 42 48 51 56 63 68 72 84 96 102 112 119 126 136 144 153 168 204 224 238 252 272 288 306 336 357 408 476 504 544 612 672 714 816 952 1008 1071 1224 1428 1632 1904 2016 2142 2448 2856 3808 4284 4896 5712 8568 11424 17136 34272 61043 122086 183129 244172 366258 427301 488344 549387 732516 854602 976688 1037731 1098774 1281903 1465032 1709204 1953376 2075462 2197548 2563806 2930064 3113193 3418408 3845709 4150924 4395096 5127612 5860128 6226386 6836816 7264117 7691418 8301848 8790192 9339579 10255224 12452772 13673632 14528234 15382836 16603696 17580384 18679158 20510448 21792351 24905544 29056468 30765672 33207392 37358316 41020896 43584702 49811088 58112936 61531344 65377053 74716632 87169404 99622176 116225872 123062688 130754106 149433264 174338808 232451744 261508212 298866528 348677616 523016424 697355232 1046032848 2092065696