| Base | Representation |
|---|---|
| bin | 10101101110010011110… |
| … | …01000010001110000000 |
| 3 | 2122100122001100121121010 |
| 4 | 22313021321002032000 |
| 5 | 44212130111421140 |
| 6 | 1330522104200520 |
| 7 | 104632616454000 |
| oct | 12671171021600 |
| 9 | 2570561317533 |
| 10 | 746416513920 |
| 11 | 26860a732600 |
| 12 | 1007b1469140 |
| 13 | 5550498c2ac |
| 14 | 281abb44000 |
| 15 | 1463904d880 |
| hex | adc9e42380 |
746416513920 has 3072 divisors, whose sum is σ = 3516307200000. Its totient is φ = 133524357120.
The previous prime is 746416513919. The next prime is 746416513943. The reversal of 746416513920 is 29315614647.
It is a super-2 number, since 2×7464165139202 (a number of 25 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 746416513920.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25738500466 + ... + 25738500494.
It is an arithmetic number, because the mean of its divisors is an integer number (1144631250).
Almost surely, 2746416513920 is an apocalyptic number.
746416513920 is a gapful number since it is divisible by the number (70) 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 746416513920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1758153600000).
746416513920 is an abundant number, since it is smaller than the sum of its proper divisors (2769890686080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
746416513920 is a wasteful number, since it uses less digits than its factorization.
746416513920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 130 (or 93 counting only the distinct ones).
The product of its (nonzero) digits is 1088640, while the sum is 48.
The spelling of 746416513920 in words is "seven hundred forty-six billion, four hundred sixteen million, five hundred thirteen thousand, nine hundred twenty".
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