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5972800032 = 2535768107
BaseRepresentation
bin1011001000000000…
…11011001000100000
3120102020212200100000
411210000123020200
544213014100112
62424401500000
7301003651113
oct54400331040
916366780300
105972800032
112595543081
1211a8341600
13742564404
1440936c57a
1524e5637dc
hex16401b220

5972800032 has 72 divisors (see below), whose sum is σ = 17614252656. Its totient is φ = 1990930752.

The previous prime is 5972800021. The next prime is 5972800033. The reversal of 5972800032 is 2300082795.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5972800032.

It is not an unprimeable number, because it can be changed into a prime (5972800033) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376278 + ... + 391829.

It is an arithmetic number, because the mean of its divisors is an integer number (244642398).

Almost surely, 25972800032 is an apocalyptic number.

It is an amenable number.

5972800032 is an abundant number, since it is smaller than the sum of its proper divisors (11641452624).

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

5972800032 is an equidigital number, since it uses as much as digits as its factorization.

5972800032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 768132 (or 768112 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5972800032 is about 77283.8924485562. The cubic root of 5972800032 is about 1814.3705651561.

The spelling of 5972800032 in words is "five billion, nine hundred seventy-two million, eight hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 768107 1536214 2304321 3072428 4608642 6144856 6912963 9217284 12289712 13825926 18434568 20738889 24579424 27651852 36869136 41477778 55303704 62216667 73738272 82955556 110607408 124433334 165911112 186650001 221214816 248866668 331822224 373300002 497733336 663644448 746600004 995466672 1493200008 1990933344 2986400016 5972800032