| Base | Representation |
|---|---|
| bin | 11111010111011110110011… |
| … | …10000001101111101000000 |
| 3 | 100001020002111012002102122000 |
| 4 | 33223233121300031331000 |
| 5 | 33020102414433234100 |
| 6 | 402411214251544000 |
| 7 | 20346250535366640 |
| oct | 1753573160157500 |
| 9 | 301202435072560 |
| 10 | 68976533102400 |
| 11 | 1aa838687a3790 |
| 12 | 78a014545b000 |
| 13 | 2c645c7a17051 |
| 14 | 13066a6914520 |
| 15 | 7e9387e94900 |
| hex | 3ebbd9c0df40 |
68976533102400 has 1344 divisors, whose sum is σ = 319405602447360. Its totient is φ = 14062320230400.
The previous prime is 68976533102371. The next prime is 68976533102429. The reversal of 68976533102400 is 420133567986.
68976533102400 is a `hidden beast` number, since 6 + 8 + 9 + 7 + 65 + 331 + 0 + 240 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (68976533102371) and next prime (68976533102429).
It is a tau number, because it is divible by the number of its divisors (1344).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 176103577 + ... + 176494823.
It is a 2-persistent number, because it is pandigital, and so is 2⋅68976533102400 = 137953066204800, but 3⋅68976533102400 = 206929599307200 is not.
Almost surely, 268976533102400 is an apocalyptic number.
68976533102400 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 68976533102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159702801223680).
68976533102400 is an abundant number, since it is smaller than the sum of its proper divisors (250429069344960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
68976533102400 is a wasteful number, since it uses less digits than its factorization.
68976533102400 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 391349 (or 391328 counting only the distinct ones).
The product of its (nonzero) digits is 6531840, while the sum is 54.
The spelling of 68976533102400 in words is "sixty-eight trillion, nine hundred seventy-six billion, five hundred thirty-three million, one hundred two thousand, four hundred".
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