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112973827995 = 32572315593351
BaseRepresentation
bin110100100110111000…
…0111100111110011011
3101210121100012002110200
41221031300330332123
53322332244443440
6123522141113243
711106411456630
oct1511560747633
9353540162420
10112973827995
1143a038650a6
1219a8a858823
13a865649942
14567a136187
152e1321bc30
hex1a4dc3cf9b

112973827995 has 48 divisors (see below), whose sum is σ = 233526039552. Its totient is φ = 49399732800.

The previous prime is 112973827969. The next prime is 112973828021. The reversal of 112973827995 is 599728379211.

112973827995 is a `hidden beast` number, since 1 + 12 + 97 + 382 + 79 + 95 = 666.

It is an interprime number because it is at equal distance from previous prime (112973827969) and next prime (112973828021).

It is not a de Polignac number, because 112973827995 - 210 = 112973826971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7789431 + ... + 7803920.

It is an arithmetic number, because the mean of its divisors is an integer number (4865125824).

Almost surely, 2112973827995 is an apocalyptic number.

112973827995 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

112973827995 is an abundant number, since it is smaller than the sum of its proper divisors (120552211557).

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

112973827995 is a wasteful number, since it uses less digits than its factorization.

112973827995 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15593392 (or 15593389 counting only the distinct ones).

The product of its digits is 17146080, while the sum is 63.

The spelling of 112973827995 in words is "one hundred twelve billion, nine hundred seventy-three million, eight hundred twenty-seven thousand, nine hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 23 35 45 63 69 105 115 161 207 315 345 483 805 1035 1449 2415 7245 15593351 46780053 77966755 109153457 140340159 233900265 327460371 358647073 545767285 701700795 982381113 1075941219 1637301855 1793235365 2510529511 3227823657 4911905565 5379706095 7531588533 12552647555 16139118285 22594765599 37657942665 112973827995