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6620442400404 = 2232723753085261
BaseRepresentation
bin110000001010111000100…
…0111100001011010010100
3212102220112000101010220100
41200111301013201122110
51331432131223303104
622025220024534100
71252211506621200
oct140256107413224
925386460333810
106620442400404
11212279415aa38
128ab104921330
133903c7230801
1418c606dd9b00
15b732d80d139
hex605711e1694

6620442400404 has 54 divisors (see below), whose sum is σ = 19467253253994. Its totient is φ = 1891554971040.

The previous prime is 6620442400393. The next prime is 6620442400409. The reversal of 6620442400404 is 4040042440266.

6620442400404 is a `hidden beast` number, since 6 + 6 + 2 + 0 + 4 + 4 + 240 + 0 + 404 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3671048336004 + 2949394064400 = 1915998^2 + 1717380^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6620442400409) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1876540867 + ... + 1876544394.

Almost surely, 26620442400404 is an apocalyptic number.

It is an amenable number.

6620442400404 is an abundant number, since it is smaller than the sum of its proper divisors (12846810853590).

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

6620442400404 is a wasteful number, since it uses less digits than its factorization.

6620442400404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753085285 (or 3753085273 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 6620442400404 in words is "six trillion, six hundred twenty billion, four hundred forty-two million, four hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 3753085261 7506170522 11259255783 15012341044 22518511566 26271596827 33777767349 45037023132 52543193654 67555534698 78814790481 105086387308 135111069396 157629580962 183901177789 236444371443 315259161924 367802355578 472888742886 551703533367 735604711156 945777485772 1103407066734 1655110600101 2206814133468 3310221200202 6620442400404