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112042660640 = 2551574460297
BaseRepresentation
bin110100001011001000…
…0110101001100100000
3101201012110000212222212
41220112100311030200
53313430410120030
6123245515021252
711044343621201
oct1502620651440
9351173025885
10112042660640
11435761852a9
121986aa3a828
13a74775cb41
1455cc5c55a8
152dab5d5595
hex1a16435320

112042660640 has 48 divisors (see below), whose sum is σ = 266386837752. Its totient is φ = 44531595264.

The previous prime is 112042660619. The next prime is 112042660649. The reversal of 112042660640 is 46066240211.

It can be written as a sum of positive squares in 4 ways, for example, as 102223436176 + 9819224464 = 319724^2 + 99092^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 112042660597 and 112042660606.

It is not an unprimeable number, because it can be changed into a prime (112042660649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2205029 + ... + 2255268.

Almost surely, 2112042660640 is an apocalyptic number.

112042660640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112042660640 is an abundant number, since it is smaller than the sum of its proper divisors (154344177112).

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

112042660640 is a wasteful number, since it uses less digits than its factorization.

112042660640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4460469 (or 4460461 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 112042660640 in words is "one hundred twelve billion, forty-two million, six hundred sixty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 157 160 314 628 785 1256 1570 2512 3140 5024 6280 12560 25120 4460297 8920594 17841188 22301485 35682376 44602970 71364752 89205940 142729504 178411880 356823760 700266629 713647520 1400533258 2801066516 3501333145 5602133032 7002666290 11204266064 14005332580 22408532128 28010665160 56021330320 112042660640