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1323064200672 = 253223199737953
BaseRepresentation
bin10011010000001100110…
…001011000110111100000
311200111001121201020120200
4103100030301120313200
5133134113413410142
62451450213305200
7164405523102054
oct23201461306740
94614047636520
101323064200672
11470121281565
12194503635200
13979c2574566
14480727c9c64
1524638bb764c
hex1340cc58de0

1323064200672 has 72 divisors (see below), whose sum is σ = 3926049223824. Its totient is φ = 421846554624.

The previous prime is 1323064200629. The next prime is 1323064200683. The reversal of 1323064200672 is 2760024603231.

1323064200672 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 0 + 642 + 0 + 0 + 6 + 7 + 2 = 666.

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 congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99862353 + ... + 99875600.

It is an arithmetic number, because the mean of its divisors is an integer number (54528461442).

Almost surely, 21323064200672 is an apocalyptic number.

1323064200672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1323064200672 is an abundant number, since it is smaller than the sum of its proper divisors (2602985023152).

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

1323064200672 is a wasteful number, since it uses less digits than its factorization.

1323064200672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199737992 (or 199737981 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 1323064200672 in words is "one trillion, three hundred twenty-three billion, sixty-four million, two hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 199737953 399475906 599213859 798951812 1198427718 1597903624 1797641577 2396855436 3195807248 3595283154 4593972919 4793710872 6391614496 7190566308 9187945838 9587421744 13781918757 14381132616 18375891676 19174843488 27563837514 28762265232 36751783352 41345756271 55127675028 57524530464 73503566704 82691512542 110255350056 147007133408 165383025084 220510700112 330766050168 441021400224 661532100336 1323064200672