Base | Representation |
---|---|
bin | 1100001111100110111… |
… | …11100011100000000000 |
3 | 1111012220002120000211200 |
4 | 12013303133203200000 |
5 | 23343041410304242 |
6 | 521133203541200 |
7 | 42252156120141 |
oct | 6076337434000 |
9 | 1435802500750 |
10 | 420696963072 |
11 | 152464517061 |
12 | 6964a68a800 |
13 | 30896530c59 |
14 | 1650cc71ac8 |
15 | ae2393704c |
hex | 61f37e3800 |
420696963072 has 144 divisors (see below), whose sum is σ = 1243309387320. Its totient is φ = 136970846208.
The previous prime is 420696963031. The next prime is 420696963103. The reversal of 420696963072 is 270369696024.
420696963072 is a `hidden beast` number, since 420 + 6 + 96 + 9 + 63 + 0 + 72 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 527178 + ... + 1057974.
Almost surely, 2420696963072 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 420696963072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621654693660).
420696963072 is an abundant number, since it is smaller than the sum of its proper divisors (822612424248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420696963072 is a wasteful number, since it uses less digits than its factorization.
420696963072 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 530868 (or 530845 counting only the distinct ones).
The product of its (nonzero) digits is 5878656, while the sum is 54.
The spelling of 420696963072 in words is "four hundred twenty billion, six hundred ninety-six million, nine hundred sixty-three thousand, seventy-two".
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