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1356925115520 = 27345133164951
BaseRepresentation
bin10011101111101111000…
…010100001110010000000
311210201110102222221110000
4103233233002201302000
5134212440312144040
62515210210240000
7200014604114322
oct23575702416200
94721412887400
101356925115520
11483517942007
1219ab93586000
139ac5a7b1250
1449965901612
152546b741130
hex13bef0a1c80

1356925115520 has 640 divisors, whose sum is σ = 5387004564480. Its totient is φ = 323232768000.

The previous prime is 1356925115509. The next prime is 1356925115621. The reversal of 1356925115520 is 255115296531.

1356925115520 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 9 + 2 + 5 + 115 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 79 ways as a sum of consecutive naturals, for example, 20859045 + ... + 20923995.

It is an arithmetic number, because the mean of its divisors is an integer number (8417194632).

Almost surely, 21356925115520 is an apocalyptic number.

1356925115520 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 1356925115520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693502282240).

1356925115520 is an abundant number, since it is smaller than the sum of its proper divisors (4030079448960).

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

1356925115520 is a wasteful number, since it uses less digits than its factorization.

1356925115520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65026 (or 65005 counting only the distinct ones).

The product of its (nonzero) digits is 405000, while the sum is 45.

The spelling of 1356925115520 in words is "one trillion, three hundred fifty-six billion, nine hundred twenty-five million, one hundred fifteen thousand, five hundred twenty".