Base | Representation |
---|---|
bin | 10101111110110010101111… |
… | …010101010001100010000000 |
3 | 110200021221122211202111211000 |
4 | 111332302233111101202000 |
5 | 100132401441231104000 |
6 | 541335241431252000 |
7 | 26235320315222400 |
oct | 2576625725214200 |
9 | 420257584674730 |
10 | 96674065488000 |
11 | 28892271753510 |
12 | aa140b8b1a000 |
13 | 41c342c792970 |
14 | 19c309a68c800 |
15 | b29aaab52000 |
hex | 57ecaf551880 |
96674065488000 has 6144 divisors, whose sum is σ = 492775291008000. Its totient is φ = 18310053888000.
The previous prime is 96674065487983. The next prime is 96674065488017. The reversal of 96674065488000 is 88456047669.
96674065488000 is a `hidden beast` number, since 9 + 6 + 6 + 7 + 4 + 0 + 6 + 548 + 80 + 0 + 0 = 666.
96674065488000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (96674065487983) and next prime (96674065488017).
It is a super-2 number, since 2×966740654880002 (a number of 29 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 329945615854 + ... + 329945616146.
Almost surely, 296674065488000 is an apocalyptic number.
96674065488000 is a gapful number since it is divisible by the number (90) 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 96674065488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246387645504000).
96674065488000 is an abundant number, since it is smaller than the sum of its proper divisors (396101225520000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
96674065488000 is a wasteful number, since it uses less digits than its factorization.
96674065488000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 478 (or 443 counting only the distinct ones).
The product of its (nonzero) digits is 69672960, while the sum is 63.
The spelling of 96674065488000 in words is "ninety-six trillion, six hundred seventy-four billion, sixty-five million, four hundred eighty-eight thousand".
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