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190973045702754 = 232729372017700319
BaseRepresentation
bin101011011011000001100000…
…100011010000000001100010
3221001011211210220120001120200
4223123001200203100001202
5200012400244144442004
61514055450034450030
755140230046642240
oct5333014043200142
9831154726501520
10190973045702754
1155939239707807
1219503a32733916
1382738b1030aa3
1435232051d5790
1517129a9359239
hexadb0608d0062

190973045702754 has 192 divisors, whose sum is σ = 502663251916800. Its totient is φ = 51232889401344.

The previous prime is 190973045702753. The next prime is 190973045702773. The reversal of 190973045702754 is 457207540379091.

190973045702754 is a `hidden beast` number, since 1 + 9 + 0 + 9 + 7 + 3 + 0 + 4 + 570 + 2 + 7 + 54 = 666.

It is a hoax number, since the sum of its digits (63) 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 (63).

It is a junction number, because it is equal to n+sod(n) for n = 190973045702691 and 190973045702700.

It is not an unprimeable number, because it can be changed into a prime (190973045702753) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 272344207 + ... + 273044525.

It is an arithmetic number, because the mean of its divisors is an integer number (2618037770400).

Almost surely, 2190973045702754 is an apocalyptic number.

190973045702754 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 190973045702754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251331625958400).

190973045702754 is an abundant number, since it is smaller than the sum of its proper divisors (311690206214046).

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

190973045702754 is a wasteful number, since it uses less digits than its factorization.

190973045702754 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702417 (or 702414 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 190973045702754 in words is "one hundred ninety trillion, nine hundred seventy-three billion, forty-five million, seven hundred two thousand, seven hundred fifty-four".