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190656974340 = 22335728386813
BaseRepresentation
bin1011000110010000001…
…0101000111000000100
3200020010012201210202000
42301210002220320010
511110431141134330
6223330412345300
716526441354100
oct2614402507004
9606105653660
10190656974340
1173947989798
1230b4a775230
1314c95788321
1493292d6900
154e5d0da560
hex2c640a8e04

190656974340 has 288 divisors, whose sum is σ = 698317925760. Its totient is φ = 43053196032.

The previous prime is 190656974297. The next prime is 190656974353. The reversal of 190656974340 is 43479656091.

190656974340 is a `hidden beast` number, since 1 + 9 + 0 + 6 + 569 + 74 + 3 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2152774 + ... + 2239586.

It is an arithmetic number, because the mean of its divisors is an integer number (2424715020).

Almost surely, 2190656974340 is an apocalyptic number.

190656974340 is a gapful number since it is divisible by the number (10) 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 190656974340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349158962880).

190656974340 is an abundant number, since it is smaller than the sum of its proper divisors (507660951420).

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

190656974340 is a wasteful number, since it uses less digits than its factorization.

190656974340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86928 (or 86913 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 190656974340 in words is "one hundred ninety billion, six hundred fifty-six million, nine hundred seventy-four thousand, three hundred forty".