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190144755072 = 273619234663
BaseRepresentation
bin1011000100010110000…
…0101011010110000000
3200011210111220101000000
42301011200223112000
511103404024130242
6223203514000000
716510651515336
oct2610540532600
9604714811000
10190144755072
1173704836888
1230a27116000
1314c136154bc
1492bb27db56
154e2d15ba4c
hex2c4582b580

190144755072 has 448 divisors, whose sum is σ = 623964844800. Its totient is φ = 57422711808.

The previous prime is 190144755067. The next prime is 190144755077. The reversal of 190144755072 is 270557441091.

190144755072 is a `hidden beast` number, since 1 + 90 + 1 + 4 + 4 + 7 + 550 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (190144755067) and next prime (190144755077).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190144755077) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 40775013 + ... + 40779675.

Almost surely, 2190144755072 is an apocalyptic number.

190144755072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190144755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311982422400).

190144755072 is an abundant number, since it is smaller than the sum of its proper divisors (433820089728).

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

190144755072 is an equidigital number, since it uses as much as digits as its factorization.

190144755072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 190144755072 in words is "one hundred ninety billion, one hundred forty-four million, seven hundred fifty-five thousand, seventy-two".