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16631190838080 = 263557213714729
BaseRepresentation
bin1111001000000100000000…
…1110001101101101000000
32011212221000021200121100000
43302001000032031231000
54134441134323304310
655212132534200000
73334364261431500
oct362010016155500
964787007617300
1016631190838080
1153322807212a5
121a472a01b3000
13938412144b10
14416d4d833a00
151dc93719d4c0
hexf204038db40

16631190838080 has 2016 divisors, whose sum is σ = 75379435971840. Its totient is φ = 3458844426240.

The previous prime is 16631190838069. The next prime is 16631190838081. The reversal of 16631190838080 is 8083809113661.

16631190838080 is a `hidden beast` number, since 16 + 6 + 311 + 90 + 83 + 80 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×166311908380802 (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 (16631190838081) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3516849156 + ... + 3516853884.

It is an arithmetic number, because the mean of its divisors is an integer number (37390593240).

Almost surely, 216631190838080 is an apocalyptic number.

16631190838080 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 16631190838080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37689717985920).

16631190838080 is an abundant number, since it is smaller than the sum of its proper divisors (58748245133760).

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

16631190838080 is a wasteful number, since it uses less digits than its factorization.

16631190838080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4859 (or 4830 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 16631190838080 in words is "sixteen trillion, six hundred thirty-one billion, one hundred ninety million, eight hundred thirty-eight thousand, eighty".