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1327900893408 = 25324610766991
BaseRepresentation
bin10011010100101101000…
…011111010000011100000
311200221112200210200200200
4103110231003322003200
5133224020112042113
62454010152345200
7164636423234055
oct23245503720340
94627480720620
101327900893408
11472183488391
121954333a5200
13982b362521b
14483b0cdb02c
152481d611873
hex1352d0fa0e0

1327900893408 has 36 divisors (see below), whose sum is σ = 3776218166448. Its totient is φ = 442633631040.

The previous prime is 1327900893383. The next prime is 1327900893409. The reversal of 1327900893408 is 8043980097231.

1327900893408 is a `hidden beast` number, since 132 + 7 + 90 + 0 + 89 + 340 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1327900893409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2305383208 + ... + 2305383783.

It is an arithmetic number, because the mean of its divisors is an integer number (104894949068).

Almost surely, 21327900893408 is an apocalyptic number.

1327900893408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1327900893408 is an abundant number, since it is smaller than the sum of its proper divisors (2448317273040).

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

1327900893408 is a wasteful number, since it uses less digits than its factorization.

1327900893408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4610767007 (or 4610766996 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 1327900893408 in words is "one trillion, three hundred twenty-seven billion, nine hundred million, eight hundred ninety-three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4610766991 9221533982 13832300973 18443067964 27664601946 36886135928 41496902919 55329203892 73772271856 82993805838 110658407784 147544543712 165987611676 221316815568 331975223352 442633631136 663950446704 1327900893408