| Base | Representation |
|---|---|
| bin | 11110110011001010111011… |
| … | …10101100101111000000000 |
| 3 | 22212210211011102220222221000 |
| 4 | 33121211131311211320000 |
| 5 | 32334132303341323410 |
| 6 | 400014122224332000 |
| 7 | 20160152421644040 |
| oct | 1731453565457000 |
| 9 | 285724142828830 |
| 10 | 67728913620480 |
| 11 | 1a642742060062 |
| 12 | 771a398174000 |
| 13 | 2ba3a69916908 |
| 14 | 12a214dcc7720 |
| 15 | 7c6bb78dcdc0 |
| hex | 3d995dd65e00 |
67728913620480 has 1280 divisors, whose sum is σ = 278886081576960. Its totient is φ = 15260509569024.
The previous prime is 67728913620449. The next prime is 67728913620481. The reversal of 67728913620480 is 8402631982776.
67728913620480 is a `hidden beast` number, since 6 + 7 + 7 + 2 + 8 + 91 + 3 + 62 + 0 + 480 = 666.
It is a tau number, because it is divible by the number of its divisors (1280).
It is a super-2 number, since 2×677289136204802 (a number of 28 digits) contains 22 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 not an unprimeable number, because it can be changed into a prime (67728913620481) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11312660047 + ... + 11312666033.
It is an arithmetic number, because the mean of its divisors is an integer number (217879751232).
Almost surely, 267728913620480 is an apocalyptic number.
67728913620480 is a gapful number since it is divisible by the number (60) 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 67728913620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139443040788480).
67728913620480 is an abundant number, since it is smaller than the sum of its proper divisors (211157167956480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
67728913620480 is a wasteful number, since it uses less digits than its factorization.
67728913620480 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6356 (or 6334 counting only the distinct ones).
The product of its (nonzero) digits is 48771072, while the sum is 63.
The spelling of 67728913620480 in words is "sixty-seven trillion, seven hundred twenty-eight billion, nine hundred thirteen million, six hundred twenty thousand, four hundred eighty".
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