Search a number
-
+
1327964123864 = 23773324844453
BaseRepresentation
bin10011010100110000110…
…101000111001011011000
311200221201002210010120102
4103110300311013023120
5133224132303430424
62454020331514532
7164641121544320
oct23246065071330
94627632703512
101327964123864
11472206145364
121954505b8a48
13982c37636b1
14483b947a280
1524823e517ae
hex13530d472d8

1327964123864 has 32 divisors (see below), whose sum is σ = 2884618751520. Its totient is φ = 561331213056.

The previous prime is 1327964123851. The next prime is 1327964123881. The reversal of 1327964123864 is 4683214697231.

It is a happy number.

It is a super-2 number, since 2×13279641238642 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162418139 + ... + 162426314.

It is an arithmetic number, because the mean of its divisors is an integer number (90144335985).

Almost surely, 21327964123864 is an apocalyptic number.

1327964123864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1327964123864 is an abundant number, since it is smaller than the sum of its proper divisors (1556654627656).

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

1327964123864 is a wasteful number, since it uses less digits than its factorization.

1327964123864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324844539 (or 324844535 counting only the distinct ones).

The product of its digits is 10450944, while the sum is 56.

The spelling of 1327964123864 in words is "one trillion, three hundred twenty-seven billion, nine hundred sixty-four million, one hundred twenty-three thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 73 146 292 511 584 1022 2044 4088 324844453 649688906 1299377812 2273911171 2598755624 4547822342 9095644684 18191289368 23713645069 47427290138 94854580276 165995515483 189709160552 331991030966 663982061932 1327964123864