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1336994338680 = 233357111310312007
BaseRepresentation
bin10011011101001011000…
…100101001011101111000
311201211000102201120112000
4103131023010221131320
5133401131022314210
62502112352421000
7165410652240240
oct23351304513570
94654012646460
101336994338680
1147601a4a3410
12197150847760
1399102562680
14489d48b8b20
1524ba1aeaac0
hex1374b129778

1336994338680 has 1024 divisors, whose sum is σ = 6042348748800. Its totient is φ = 253935544320.

The previous prime is 1336994338619. The next prime is 1336994338703. The reversal of 1336994338680 is 868334996331.

1336994338680 is a `hidden beast` number, since 1 + 3 + 36 + 99 + 433 + 8 + 6 + 80 = 666.

It is a super-3 number, since 3×13369943386803 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 111345237 + ... + 111357243.

It is an arithmetic number, because the mean of its divisors is an integer number (5900731200).

Almost surely, 21336994338680 is an apocalyptic number.

1336994338680 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 1336994338680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3021174374400).

1336994338680 is an abundant number, since it is smaller than the sum of its proper divisors (4705354410120).

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

1336994338680 is a wasteful number, since it uses less digits than its factorization.

1336994338680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12161 (or 12151 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 63.

The spelling of 1336994338680 in words is "one trillion, three hundred thirty-six billion, nine hundred ninety-four million, three hundred thirty-eight thousand, six hundred eighty".