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973988442972 = 22339018411509
BaseRepresentation
bin11100010110001100011…
…11000011001101011100
310110010000221002102022000
432023012033003031130
5111424212020133342
62023235532322300
7130240225110546
oct16130617031534
93403027072260
10973988442972
113460800a2126
12138922913390
1370b0130998c
14351d99c4696
151a507d7d44c
hexe2c63c335c

973988442972 has 24 divisors (see below), whose sum is σ = 2525155222800. Its totient is φ = 324662814288.

The previous prime is 973988442971. The next prime is 973988442979. The reversal of 973988442972 is 279244889379.

973988442972 is a `hidden beast` number, since 9 + 7 + 3 + 98 + 8 + 442 + 97 + 2 = 666.

973988442972 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 973988442972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (973988442971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4509205647 + ... + 4509205862.

It is an arithmetic number, because the mean of its divisors is an integer number (105214800950).

Almost surely, 2973988442972 is an apocalyptic number.

It is an amenable number.

973988442972 is an abundant number, since it is smaller than the sum of its proper divisors (1551166779828).

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

973988442972 is a wasteful number, since it uses less digits than its factorization.

973988442972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9018411522 (or 9018411514 counting only the distinct ones).

The product of its digits is 438939648, while the sum is 72.

The spelling of 973988442972 in words is "nine hundred seventy-three billion, nine hundred eighty-eight million, four hundred forty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 9018411509 18036823018 27055234527 36073646036 54110469054 81165703581 108220938108 162331407162 243497110743 324662814324 486994221486 973988442972