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2960112996 = 2232318331957
BaseRepresentation
bin1011000001101111…
…1011110101100100
321122021222022122200
42300123323311210
522030242103441
61205421254500
7133232355021
oct26033736544
97567868580
102960112996
1112899a7785
126a7404430
1338235a269
142011c2548
15124d157b6
hexb06fbd64

2960112996 has 72 divisors (see below), whose sum is σ = 7817182464. Its totient is φ = 943341120.

The previous prime is 2960112977. The next prime is 2960113007. The reversal of 2960112996 is 6992110692.

2960112996 is a `hidden beast` number, since 29 + 601 + 12 + 9 + 9 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76650 + ... + 108606.

Almost surely, 22960112996 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 2960112996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3908591232).

2960112996 is an abundant number, since it is smaller than the sum of its proper divisors (4857069468).

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

2960112996 is a wasteful number, since it uses less digits than its factorization.

2960112996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32081 (or 32076 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 2960112996 is about 54406.9204789244. The cubic root of 2960112996 is about 1435.8291405511.

The spelling of 2960112996 in words is "two billion, nine hundred sixty million, one hundred twelve thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 83 93 124 166 186 249 279 332 372 498 558 747 996 1116 1494 2573 2988 5146 7719 10292 15438 23157 30876 31957 46314 63914 92628 95871 127828 191742 287613 383484 575226 990667 1150452 1981334 2652431 2972001 3962668 5304862 5944002 7957293 8916003 10609724 11888004 15914586 17832006 23871879 31829172 35664012 47743758 82225361 95487516 164450722 246676083 328901444 493352166 740028249 986704332 1480056498 2960112996