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18995693664024 = 233271143109731033
BaseRepresentation
bin1000101000110110001111…
…00100101011011100011000
32111020222012112220112202200
410110123013210223130120
54442211140034222044
6104222300131530200
74000251666020310
oct424330744533430
974228175815680
1018995693664024
1160640349471a0
1221695ab459960
13a7a394abaacc
14499579d1c440
1522e1c5538369
hex1146c792b718

18995693664024 has 384 divisors, whose sum is σ = 66235189363200. Its totient is φ = 4774984058880.

The previous prime is 18995693664011. The next prime is 18995693664037. The reversal of 18995693664024 is 42046639659981.

18995693664024 is a `hidden beast` number, since 1 + 8 + 9 + 9 + 569 + 36 + 6 + 4 + 0 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (18995693664011) and next prime (18995693664037).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25619212 + ... + 26350244.

It is an arithmetic number, because the mean of its divisors is an integer number (172487472300).

Almost surely, 218995693664024 is an apocalyptic number.

18995693664024 is a gapful number since it is divisible by the number (14) 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 18995693664024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33117594681600).

18995693664024 is an abundant number, since it is smaller than the sum of its proper divisors (47239495699176).

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

18995693664024 is a wasteful number, since it uses less digits than its factorization.

18995693664024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731215 (or 731208 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 18995693664024 in words is "eighteen trillion, nine hundred ninety-five billion, six hundred ninety-three million, six hundred sixty-four thousand, twenty-four".