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2120999968 = 25175966083
BaseRepresentation
bin111111001101011…
…1110010000100000
312110211000221222101
41332122332100200
513320433444333
6550244220144
7103363126243
oct17632762040
95424027871
102120999968
1199928173a
124b239a654
1327a561489
1416199525a
15c631467d
hex7e6be420

2120999968 has 48 divisors (see below), whose sum is σ = 4496355360. Its totient is φ = 981185536.

The previous prime is 2120999957. The next prime is 2120999977. The reversal of 2120999968 is 8699990212.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

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, 946 + ... + 65137.

It is an arithmetic number, because the mean of its divisors is an integer number (93674070).

Almost surely, 22120999968 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 2120999968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248177680).

2120999968 is an abundant number, since it is smaller than the sum of its proper divisors (2375355392).

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

2120999968 is a wasteful number, since it uses less digits than its factorization.

2120999968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66169 (or 66161 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 55.

The square root of 2120999968 is about 46054.3154112620. The cubic root of 2120999968 is about 1284.8336056102.

The spelling of 2120999968 in words is "two billion, one hundred twenty million, nine hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 59 68 118 136 236 272 472 544 944 1003 1888 2006 4012 8024 16048 32096 66083 132166 264332 528664 1057328 1123411 2114656 2246822 3898897 4493644 7797794 8987288 15595588 17974576 31191176 35949152 62382352 66281249 124764704 132562498 265124996 530249992 1060499984 2120999968