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5681523326976 = 217357171499
BaseRepresentation
bin101001010101101010100…
…1011100000000000000000
3202010011000010111021200000
41102223111023200000000
51221041224432430401
620030020014400000
71124322305313240
oct122532513400000
922104003437600
105681523326976
1118a057a88a252
1277914a800000
133229c4625393
14158db6c1bb20
159cbc9664186
hex52ad52e0000

5681523326976 has 864 divisors, whose sum is σ = 20610731232000. Its totient is φ = 1526785376256.

The previous prime is 5681523326933. The next prime is 5681523327043. The reversal of 5681523326976 is 6796233251865.

It is a happy number.

5681523326976 is a `hidden beast` number, since 5 + 6 + 8 + 1 + 523 + 32 + 6 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3790208275 + ... + 3790209773.

It is an arithmetic number, because the mean of its divisors is an integer number (23855013000).

Almost surely, 25681523326976 is an apocalyptic number.

5681523326976 is a gapful number since it is divisible by the number (56) 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 5681523326976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305365616000).

5681523326976 is an abundant number, since it is smaller than the sum of its proper divisors (14929207905024).

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

5681523326976 is an frugal number, since it uses more digits than its factorization.

5681523326976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1572 (or 1528 counting only the distinct ones).

The product of its digits is 97977600, while the sum is 63.

The spelling of 5681523326976 in words is "five trillion, six hundred eighty-one billion, five hundred twenty-three million, three hundred twenty-six thousand, nine hundred seventy-six".