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1379628290700 = 22335211219376007
BaseRepresentation
bin10100000100111000010…
…000010001001010001100
311212220001200000201221000
4110010320100101022030
5140100434320300300
62533443102140300
7201450321660402
oct24047020211214
94786050021830
101379628290700
11492108226600
121a346a881690
13a013821490a
144aabac05472
1525d4996cc00
hex1413841128c

1379628290700 has 864 divisors, whose sum is σ = 5271265395200. Its totient is φ = 308237529600.

The previous prime is 1379628290611. The next prime is 1379628290707. The reversal of 1379628290700 is 70928269731.

1379628290700 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 628 + 2 + 9 + 0 + 7 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1379628290707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 229667097 + ... + 229673103.

Almost surely, 21379628290700 is an apocalyptic number.

1379628290700 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 1379628290700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635632697600).

1379628290700 is an abundant number, since it is smaller than the sum of its proper divisors (3891637104500).

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

1379628290700 is a wasteful number, since it uses less digits than its factorization.

1379628290700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6084 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1379628290700 in words is "one trillion, three hundred seventy-nine billion, six hundred twenty-eight million, two hundred ninety thousand, seven hundred".