| Base | Representation |
|---|---|
| bin | 110110010101101111101… |
| … | …1010001100100000000000 |
| 3 | 222102222020201201210000000 |
| 4 | 1230223133122030200000 |
| 5 | 1434330241221042220 |
| 6 | 23514534120000000 |
| 7 | 1400400643006530 |
| oct | 154533732144000 |
| 9 | 28388221653000 |
| 10 | 7468401346560 |
| 11 | 241a37094a820 |
| 12 | a07514600000 |
| 13 | 42236212a41b |
| 14 | 1bb68898b4c0 |
| 15 | ce40c1c3390 |
| hex | 6cadf68c800 |
7468401346560 has 3072 divisors, whose sum is σ = 34536189542400. Its totient is φ = 1504935936000.
The previous prime is 7468401346541. The next prime is 7468401346603. The reversal of 7468401346560 is 656431048647.
7468401346560 is a `hidden beast` number, since 7 + 4 + 6 + 8 + 40 + 1 + 34 + 6 + 560 = 666.
It is a tau number, because it is divible by the number of its divisors (3072).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a junction number, because it is equal to n+sod(n) for n = 7468401346497 and 7468401346506.
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 255 ways as a sum of consecutive naturals, for example, 105188751325 + ... + 105188751395.
It is an arithmetic number, because the mean of its divisors is an integer number (11242249200).
Almost surely, 27468401346560 is an apocalyptic number.
7468401346560 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 7468401346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17268094771200).
7468401346560 is an abundant number, since it is smaller than the sum of its proper divisors (27067788195840).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
7468401346560 is an equidigital number, since it uses as much as digits as its factorization.
7468401346560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 198 (or 160 counting only the distinct ones).
The product of its (nonzero) digits is 11612160, while the sum is 54.
The spelling of 7468401346560 in words is "seven trillion, four hundred sixty-eight billion, four hundred one million, three hundred forty-six thousand, five hundred sixty".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.076 sec. • engine limits •