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1362013164672 = 27331111404853
BaseRepresentation
bin10011110100011110010…
…011111001010010000000
311211012121001001121201220
4103310132103321102000
5134303400332232142
62521411124555040
7200254645611006
oct23643623712200
94735531047656
101362013164672
11485698a18706
1219bb73552a80
139b58b95ab14
1449cc9562a76
152566828b2ec
hex13d1e4f9480

1362013164672 has 64 divisors (see below), whose sum is σ = 3629480736960. Its totient is φ = 452544527360.

The previous prime is 1362013164653. The next prime is 1362013164691. The reversal of 1362013164672 is 2764613102631.

It is an interprime number because it is at equal distance from previous prime (1362013164653) and next prime (1362013164691).

It is a tau number, because it is divible by the number of its divisors (64).

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, 5583003 + ... + 5821850.

It is an arithmetic number, because the mean of its divisors is an integer number (56710636515).

Almost surely, 21362013164672 is an apocalyptic number.

1362013164672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1362013164672 is an abundant number, since it is smaller than the sum of its proper divisors (2267467572288).

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

1362013164672 is a wasteful number, since it uses less digits than its factorization.

1362013164672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11405181 (or 11405169 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 1362013164672 in words is "one trillion, three hundred sixty-two billion, thirteen million, one hundred sixty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 311 384 622 933 1244 1866 2488 3732 4976 7464 9952 14928 19904 29856 39808 59712 119424 11404853 22809706 34214559 45619412 68429118 91238824 136858236 182477648 273716472 364955296 547432944 729910592 1094865888 1459821184 2189731776 3546909283 4379463552 7093818566 10640727849 14187637132 21281455698 28375274264 42562911396 56750548528 85125822792 113501097056 170251645584 227002194112 340503291168 454004388224 681006582336 1362013164672