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16364878576416 = 253296615881637
BaseRepresentation
bin1110111000100011111011…
…0001100011101100100000
32010221110121112011222221100
43232020332301203230200
54121110232403421131
654445531010154400
73306215642522526
oct356107661435440
963843545158840
1016364878576416
11523a340363467
121a03758882a00
139192806caab6
144080c8808316
151d5a4c25b7e6
hexee23ec63b20

16364878576416 has 72 divisors (see below), whose sum is σ = 46542448425564. Its totient is φ = 5454393960960.

The previous prime is 16364878576391. The next prime is 16364878576447. The reversal of 16364878576416 is 61467587846361.

16364878576416 is a `hidden beast` number, since 1 + 6 + 3 + 6 + 4 + 8 + 7 + 8 + 576 + 41 + 6 = 666.

16364878576416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 14864263376400 + 1500615200016 = 3855420^2 + 1224996^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158451 + ... + 5723186.

Almost surely, 216364878576416 is an apocalyptic number.

16364878576416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16364878576416 is an abundant number, since it is smaller than the sum of its proper divisors (30177569849148).

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

16364878576416 is a wasteful number, since it uses less digits than its factorization.

16364878576416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891314 (or 5891303 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 16364878576416 in words is "sixteen trillion, three hundred sixty-four billion, eight hundred seventy-eight million, five hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 9661 19322 28983 38644 57966 77288 86949 115932 154576 173898 231864 309152 347796 463728 695592 927456 1391184 2782368 5881637 11763274 17644911 23526548 35289822 47053096 52934733 70579644 94106192 105869466 141159288 188212384 211738932 282318576 423477864 564637152 846955728 1693911456 56822495057 113644990114 170467485171 227289980228 340934970342 454579960456 511402455513 681869940684 909159920912 1022804911026 1363739881368 1818319841824 2045609822052 2727479762736 4091219644104 5454959525472 8182439288208 16364878576416