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19413041618880 = 263857131743139
BaseRepresentation
bin1000110100111111100110…
…11100110001111111000000
32112201212110020201100000000
410122133303130301333000
510021030402123301010
6105142121143000000
74042355161061220
oct432376334617700
975655406640000
1019413041618880
11620502a995868
122216464439000
13aaa84653a8a0
144b184c098080
15239e9ee3b7c0
hex11a7f3731fc0

19413041618880 has 4032 divisors, whose sum is σ = 93124819307520. Its totient is φ = 3738260865024.

The previous prime is 19413041618813. The next prime is 19413041618881. The reversal of 19413041618880 is 8881614031491.

19413041618880 is a `hidden beast` number, since 1 + 9 + 4 + 13 + 0 + 4 + 1 + 618 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×194130416188802 (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19413041618881) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 139662169851 + ... + 139662169989.

It is an arithmetic number, because the mean of its divisors is an integer number (23096433360).

Almost surely, 219413041618880 is an apocalyptic number.

19413041618880 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 19413041618880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46562409653760).

19413041618880 is an abundant number, since it is smaller than the sum of its proper divisors (73711777688640).

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

19413041618880 is a wasteful number, since it uses less digits than its factorization.

19413041618880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 19413041618880 in words is "nineteen trillion, four hundred thirteen billion, forty-one million, six hundred eighteen thousand, eight hundred eighty".