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2095628112 = 24351035233
BaseRepresentation
bin111110011101000…
…1011111101010000
312102001021221100000
41330322023331100
513242440044422
6543540330000
7102634354644
oct17472137520
95361257300
102095628112
11985a22466
124a59a3900
13275219c46
1415c46cc24
15c3ea1cac
hex7ce8bf50

2095628112 has 120 divisors (see below), whose sum is σ = 6142287424. Its totient is φ = 691628544.

The previous prime is 2095628083. The next prime is 2095628113. The reversal of 2095628112 is 2118265902.

2095628112 is a `hidden beast` number, since 2 + 0 + 9 + 562 + 81 + 12 = 666.

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 (2095628113) 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, 397848 + ... + 403080.

Almost surely, 22095628112 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 2095628112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3071143712).

2095628112 is an abundant number, since it is smaller than the sum of its proper divisors (4046659312).

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

2095628112 is a wasteful number, since it uses less digits than its factorization.

2095628112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5359 (or 5341 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2095628112 is about 45778.0308881892. The cubic root of 2095628112 is about 1279.6898890669.

The spelling of 2095628112 in words is "two billion, ninety-five million, six hundred twenty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 103 108 144 162 206 216 243 309 324 412 432 486 618 648 824 927 972 1236 1296 1648 1854 1944 2472 2781 3708 3888 4944 5233 5562 7416 8343 10466 11124 14832 15699 16686 20932 22248 25029 31398 33372 41864 44496 47097 50058 62796 66744 83728 94194 100116 125592 133488 141291 188388 200232 251184 282582 376776 400464 423873 538999 565164 753552 847746 1077998 1130328 1271619 1616997 1695492 2155996 2260656 2543238 3233994 3390984 4311992 4850991 5086476 6467988 6781968 8623984 9701982 10172952 12935976 14552973 19403964 20345904 25871952 29105946 38807928 43658919 58211892 77615856 87317838 116423784 130976757 174635676 232847568 261953514 349271352 523907028 698542704 1047814056 2095628112