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21364763520144 = 2431140463567273
BaseRepresentation
bin1001101101110010111110…
…01000111110110010010000
32210122110012002210122211010
410312321133020332302100
510300020013430121034
6113234500432450520
74333360520363652
oct466713710766220
983573162718733
1021364763520144
1168978220354a0
1224907740a9a40
13bbc8c49a9415
1453c0baba06d2
15270b2e8023e9
hex136e5f23ec90

21364763520144 has 40 divisors (see below), whose sum is σ = 60209788103712. Its totient is φ = 6474170763520.

The previous prime is 21364763520041. The next prime is 21364763520169. The reversal of 21364763520144 is 44102536746312.

It is a super-3 number, since 3×213647635201443 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 21364763520093 and 21364763520102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20231783109 + ... + 20231784164.

Almost surely, 221364763520144 is an apocalyptic number.

21364763520144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21364763520144 is an abundant number, since it is smaller than the sum of its proper divisors (38845024583568).

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

21364763520144 is a wasteful number, since it uses less digits than its factorization.

21364763520144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40463567295 (or 40463567289 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 48.

The spelling of 21364763520144 in words is "twenty-one trillion, three hundred sixty-four billion, seven hundred sixty-three million, five hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 40463567273 80927134546 121390701819 161854269092 242781403638 323708538184 445099240003 485562807276 647417076368 890198480006 971125614552 1335297720009 1780396960012 1942251229104 2670595440018 3560793920024 5341190880036 7121587840048 10682381760072 21364763520144