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381112668768 = 25313305378741
BaseRepresentation
bin1011000101111000001…
…01011101001001100000
31100102201101201112100110
411202330011131021200
522221004320400033
6451025235051320
736351220143246
oct5427405351140
91312641645313
10381112668768
111376a1190947
1261a41a40b40
1329c2862b8c0
1414635996796
159da86b7363
hex58bc15d260

381112668768 has 48 divisors (see below), whose sum is σ = 1077376201776. Its totient is φ = 117265436160.

The previous prime is 381112668751. The next prime is 381112668787. The reversal of 381112668768 is 867866211183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 152688123 + ... + 152690618.

It is an arithmetic number, because the mean of its divisors is an integer number (22445337537).

Almost surely, 2381112668768 is an apocalyptic number.

It is an amenable number.

381112668768 is an abundant number, since it is smaller than the sum of its proper divisors (696263533008).

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

381112668768 is a wasteful number, since it uses less digits than its factorization.

381112668768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305378767 (or 305378759 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 57.

The spelling of 381112668768 in words is "three hundred eighty-one billion, one hundred twelve million, six hundred sixty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 305378741 610757482 916136223 1221514964 1832272446 2443029928 3664544892 3969923633 4886059856 7329089784 7939847266 9772119712 11909770899 14658179568 15879694532 23819541798 29316359136 31759389064 47639083596 63518778128 95278167192 127037556256 190556334384 381112668768