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2116932048 = 2432711190921
BaseRepresentation
bin111111000101101…
…1101000111010000
312110112101021211200
41332023131013100
513313413311143
6550021111200
7103313424360
oct17613350720
95415337750
102116932048
11996a53420
124b0b58500
13279768a1a
141612169a0
15c5cae1d3
hex7e2dd1d0

2116932048 has 120 divisors (see below), whose sum is σ = 7386390336. Its totient is φ = 549849600.

The previous prime is 2116932047. The next prime is 2116932071. The reversal of 2116932048 is 8402396112.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2116932047) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 84373 + ... + 106548.

Almost surely, 22116932048 is an apocalyptic number.

2116932048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2116932048 is an abundant number, since it is smaller than the sum of its proper divisors (5269458288).

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

2116932048 is a wasteful number, since it uses less digits than its factorization.

2116932048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190953 (or 190944 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2116932048 is about 46010.1298411556. The cubic root of 2116932048 is about 1284.0116748582.

The spelling of 2116932048 in words is "two billion, one hundred sixteen million, nine hundred thirty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 190921 381842 572763 763684 1145526 1336447 1527368 1718289 2100131 2291052 2672894 3054736 3436578 4009341 4200262 4582104 5345788 6300393 6873156 8018682 8400524 9164208 10691576 12028023 12600786 13746312 14700917 16037364 16801048 18901179 21383152 24056046 25201572 27492624 29401834 32074728 33602096 37802358 44102751 48112092 50403144 58803668 64149456 75604716 88205502 96224184 100806288 117607336 132308253 151209432 176411004 192448368 235214672 264616506 302418864 352822008 529233012 705644016 1058466024 2116932048