Base | Representation |
---|---|
bin | 101101011111100101… |
… | …1010011011100100000 |
3 | 100100011122120011200000 |
4 | 1122333023103130200 |
5 | 3100040323121000 |
6 | 112514203100000 |
7 | 10026005115555 |
oct | 1327713233440 |
9 | 310148504600 |
10 | 97696692000 |
11 | 38484265776 |
12 | 16b26511600 |
13 | 929c5799bb |
14 | 4a2b1b0a2c |
15 | 281be13000 |
hex | 16bf2d3720 |
97696692000 has 288 divisors, whose sum is σ = 359570824704. Its totient is φ = 26052192000.
The previous prime is 97696691993. The next prime is 97696692007. The reversal of 97696692000 is 29669679.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (97696691993) and next prime (97696692007).
It is a tau number, because it is divible by the number of its divisors (288).
It is a Harshad number since it is a multiple of its sum of digits (54).
It is not an unprimeable number, because it can be changed into a prime (97696692007) by changing a digit.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 921745 + ... + 1022255.
It is an arithmetic number, because the mean of its divisors is an integer number (1248509808).
Almost surely, 297696692000 is an apocalyptic number.
97696692000 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 97696692000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179785412352).
97696692000 is an abundant number, since it is smaller than the sum of its proper divisors (261874132704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97696692000 is a wasteful number, since it uses less digits than its factorization.
97696692000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 100551 (or 100521 counting only the distinct ones).
The product of its (nonzero) digits is 2204496, while the sum is 54.
The spelling of 97696692000 in words is "ninety-seven billion, six hundred ninety-six million, six hundred ninety-two thousand".
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