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1327894551900 = 223452724197177
BaseRepresentation
bin10011010100101100101…
…011101101110101011100
311200221112020212111210000
4103110230223231311130
5133224012001130100
62454005404414300
7164636315312520
oct23245453556534
94627466774700
101327894551900
1147217a946974
12195431247390
13982b2214957
14483b0129d80
152481ccac900
hex1352caedd5c

1327894551900 has 360 divisors, whose sum is σ = 4939902916256. Its totient is φ = 302256230400.

The previous prime is 1327894551887. The next prime is 1327894551943. The reversal of 1327894551900 is 91554987231.

It is a happy number.

1327894551900 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 89 + 4 + 551 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×13278945519002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13616112 + ... + 13713288.

Almost surely, 21327894551900 is an apocalyptic number.

1327894551900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1327894551900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469951458128).

1327894551900 is an abundant number, since it is smaller than the sum of its proper divisors (3612008364356).

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

1327894551900 is a wasteful number, since it uses less digits than its factorization.

1327894551900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97451 (or 97435 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 1327894551900 in words is "one trillion, three hundred twenty-seven billion, eight hundred ninety-four million, five hundred fifty-one thousand, nine hundred".