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5143723776 = 28331953739
BaseRepresentation
bin1001100101001011…
…01111111100000000
3111021110211020112000
410302211233330000
541013243130101
62210223504000
7241315634142
oct46245577400
914243736460
105143723776
1121aa552894
12bb6758000
1363c870b49
1436b1d4c92
15201896486
hex13296ff00

5143723776 has 288 divisors, whose sum is σ = 16335648000. Its totient is φ = 1591529472.

The previous prime is 5143723771. The next prime is 5143723807. The reversal of 5143723776 is 6773273415.

5143723776 is a `hidden beast` number, since 514 + 37 + 2 + 37 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×51437237763 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5143723771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6960015 + ... + 6960753.

It is an arithmetic number, because the mean of its divisors is an integer number (56721000).

Almost surely, 25143723776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5143723776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8167824000).

5143723776 is an abundant number, since it is smaller than the sum of its proper divisors (11191924224).

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

5143723776 is a wasteful number, since it uses less digits than its factorization.

5143723776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 816 counting only the distinct ones).

The product of its digits is 740880, while the sum is 45.

The square root of 5143723776 is about 71719.7586164371. The cubic root of 5143723776 is about 1726.2056992279.

The spelling of 5143723776 in words is "five billion, one hundred forty-three million, seven hundred twenty-three thousand, seven hundred seventy-six".