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112677433040 = 2457319294081
BaseRepresentation
bin110100011110000011…
…0010010111011010000
3101202211200110200000202
41220330012102323100
53321230410324130
6123432512234332
711066152243454
oct1507406227320
9352750420022
10112677433040
1143871523197
1219a0753b9a8
13a819111a03
14564ca20664
152de71c1145
hex1a3c192ed0

112677433040 has 40 divisors (see below), whose sum is σ = 265563744648. Its totient is φ = 44453560320.

The previous prime is 112677433019. The next prime is 112677433051. The reversal of 112677433040 is 40334776211.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4426816 + 112673006224 = 2104^2 + 335668^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 112677432985 and 112677433003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9641201 + ... + 9652880.

Almost surely, 2112677433040 is an apocalyptic number.

112677433040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112677433040 is an abundant number, since it is smaller than the sum of its proper divisors (152886311608).

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

112677433040 is a wasteful number, since it uses less digits than its factorization.

112677433040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19294167 (or 19294161 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The spelling of 112677433040 in words is "one hundred twelve billion, six hundred seventy-seven million, four hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 365 584 730 1168 1460 2920 5840 19294081 38588162 77176324 96470405 154352648 192940810 308705296 385881620 771763240 1408467913 1543526480 2816935826 5633871652 7042339565 11267743304 14084679130 22535486608 28169358260 56338716520 112677433040