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2120956656 = 243713485567
BaseRepresentation
bin111111001101011…
…0011101011110000
312110210221202120020
41332122303223300
513320431103111
6550243243440
7103362556050
oct17632635360
95423852506
102120956656
11999252145
124b2379580
1327a547850
14161983560
15c6306906
hex7e6b3af0

2120956656 has 80 divisors (see below), whose sum is σ = 6743568384. Its totient is φ = 559372032.

The previous prime is 2120956637. The next prime is 2120956697. The reversal of 2120956656 is 6566590212.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238416 + ... + 247151.

Almost surely, 22120956656 is an apocalyptic number.

2120956656 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2120956656 is an abundant number, since it is smaller than the sum of its proper divisors (4622611728).

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

2120956656 is a wasteful number, since it uses less digits than its factorization.

2120956656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485598 (or 485592 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 2120956656 is about 46053.8451814829. The cubic root of 2120956656 is about 1284.8248598781.

The spelling of 2120956656 in words is "two billion, one hundred twenty million, nine hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 4368 485567 971134 1456701 1942268 2913402 3398969 3884536 5826804 6312371 6797938 7769072 10196907 11653608 12624742 13595876 18937113 20393814 23307216 25249484 27191752 37874226 40787628 44186597 50498968 54383504 75748452 81575256 88373194 100997936 132559791 151496904 163150512 176746388 265119582 302993808 353492776 530239164 706985552 1060478328 2120956656