Search a number
-
+
21463473273120 = 2534517671072127
BaseRepresentation
bin1001110000101010110101…
…01100110011100100100000
32210222212222100121122220000
410320111122230303210200
510303124143124214440
6113352103345220000
74343453606422224
oct470253254634440
983885870548800
1021463473273120
11692567612493a
1224a7921931600
13bc8cc60b7188
14542ba271c784
152734aa626730
hex13855ab33920

21463473273120 has 1440 divisors, whose sum is σ = 82815889508352. Its totient is φ = 5215522701312.

The previous prime is 21463473273113. The next prime is 21463473273133. The reversal of 21463473273120 is 2137237436412.

21463473273120 is a `hidden beast` number, since 2 + 1 + 4 + 6 + 3 + 4 + 7 + 327 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×214634732731202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 169003726497 + ... + 169003726623.

Almost surely, 221463473273120 is an apocalyptic number.

21463473273120 is a gapful number since it is divisible by the number (20) 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 21463473273120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41407944754176).

21463473273120 is an abundant number, since it is smaller than the sum of its proper divisors (61352416235232).

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

21463473273120 is a wasteful number, since it uses less digits than its factorization.

21463473273120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 21463473273120 in words is "twenty-one trillion, four hundred sixty-three billion, four hundred seventy-three million, two hundred seventy-three thousand, one hundred twenty".