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72947464114824 = 2332132173123348823
BaseRepresentation
bin10000100101100001100111…
…101011111001001010001000
3100120021201011012100120010200
4100211201213223321022020
534030132401303133244
6415051334040412200
721236165110156125
oct2045414753711210
9316251135316120
1072947464114824
1121274933835782
12822185a177060
133191bbb2b1b00
14140296731974c
158677e6e2b669
hex425867af9288

72947464114824 has 576 divisors, whose sum is σ = 234832065960960. Its totient is φ = 20355446292480.

The previous prime is 72947464114787. The next prime is 72947464114829. The reversal of 72947464114824 is 42841146474927.

72947464114824 is a `hidden beast` number, since 7 + 2 + 9 + 4 + 7 + 464 + 1 + 148 + 24 = 666.

It is not an unprimeable number, because it can be changed into a prime (72947464114829) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1494096477 + ... + 1494145299.

It is an arithmetic number, because the mean of its divisors is an integer number (407694558960).

Almost surely, 272947464114824 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 72947464114824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117416032980480).

72947464114824 is an abundant number, since it is smaller than the sum of its proper divisors (161884601846136).

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

72947464114824 is a wasteful number, since it uses less digits than its factorization.

72947464114824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49142 (or 49122 counting only the distinct ones).

The product of its digits is 86704128, while the sum is 63.

The spelling of 72947464114824 in words is "seventy-two trillion, nine hundred forty-seven billion, four hundred sixty-four million, one hundred fourteen thousand, eight hundred twenty-four".