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18886149216 = 25341159103109
BaseRepresentation
bin10001100101101100…
…111100010001100000
31210202012121210020000
4101211230330101200
5302134323233331
612402015420000
71236005422344
oct214554742140
953665553200
1018886149216
118011814490
1237b0b24600
131a1c9b772c
14cb23bd624
1575809b0e6
hex465b3c460

18886149216 has 480 divisors, whose sum is σ = 62789126400. Its totient is φ = 5520337920.

The previous prime is 18886149181. The next prime is 18886149257. The reversal of 18886149216 is 61294168881.

It is a happy number.

18886149216 is a `hidden beast` number, since 1 + 8 + 8 + 8 + 614 + 9 + 2 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 173267370 + ... + 173267478.

It is an arithmetic number, because the mean of its divisors is an integer number (130810680).

Almost surely, 218886149216 is an apocalyptic number.

18886149216 is a gapful number since it is divisible by the number (16) 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 18886149216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31394563200).

18886149216 is an abundant number, since it is smaller than the sum of its proper divisors (43902977184).

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

18886149216 is a wasteful number, since it uses less digits than its factorization.

18886149216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 287 counting only the distinct ones).

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

The spelling of 18886149216 in words is "eighteen billion, eight hundred eighty-six million, one hundred forty-nine thousand, two hundred sixteen".