Base | Representation |
---|---|
bin | 11100011111011111001… |
… | …111111001000011011000 |
3 | 20221011211021220021100000 |
4 | 130133133033321003120 |
5 | 224034343113322241 |
6 | 4055250011413000 |
7 | 261312652020060 |
oct | 34373717710330 |
9 | 6834737807300 |
10 | 1957955604696 |
11 | 695400993353 |
12 | 27756b454160 |
13 | 112832a92460 |
14 | 6aaa098c3a0 |
15 | 35de6cb3eb6 |
hex | 1c7df3f90d8 |
1957955604696 has 2304 divisors, whose sum is σ = 7873168343040. Its totient is φ = 442310077440.
The previous prime is 1957955604691. The next prime is 1957955604707. The reversal of 1957955604696 is 6964065597591.
1957955604696 is a `hidden beast` number, since 1 + 9 + 5 + 7 + 9 + 5 + 5 + 604 + 6 + 9 + 6 = 666.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1957955604691) by changing a digit.
It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 45533851251 + ... + 45533851293.
It is an arithmetic number, because the mean of its divisors is an integer number (3417173760).
Almost surely, 21957955604696 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 1957955604696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3936584171520).
1957955604696 is an abundant number, since it is smaller than the sum of its proper divisors (5915212738344).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1957955604696 is a wasteful number, since it uses less digits than its factorization.
1957955604696 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 176 (or 141 counting only the distinct ones).
The product of its (nonzero) digits is 551124000, while the sum is 72.
The spelling of 1957955604696 in words is "one trillion, nine hundred fifty-seven billion, nine hundred fifty-five million, six hundred four thousand, six hundred ninety-six".
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