Base | Representation |
---|---|
bin | 111001011001100010… |
… | …111101100011101000 |
3 | 12220002020020212110000 |
4 | 321121202331203220 |
5 | 2002210230120100 |
6 | 44151401023000 |
7 | 4311203221410 |
oct | 713142754350 |
9 | 186066225400 |
10 | 61631879400 |
11 | 24157653223 |
12 | bb40484a60 |
13 | 5a728754c0 |
14 | 2da94c5640 |
15 | 190ab4c900 |
hex | e598bd8e8 |
61631879400 has 960 divisors, whose sum is σ = 266787924480. Its totient is φ = 12839731200.
The previous prime is 61631879389. The next prime is 61631879423. The reversal of 61631879400 is 497813616.
It is a happy number.
61631879400 is a `hidden beast` number, since 6 + 1 + 63 + 187 + 9 + 400 = 666.
It is a super-2 number, since 2×616318794002 (a number of 22 digits) contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 142997185 + ... + 142997615.
It is an arithmetic number, because the mean of its divisors is an integer number (277904088).
Almost surely, 261631879400 is an apocalyptic number.
61631879400 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 61631879400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133393962240).
61631879400 is an abundant number, since it is smaller than the sum of its proper divisors (205156045080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
61631879400 is a wasteful number, since it uses less digits than its factorization.
61631879400 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 576 (or 558 counting only the distinct ones).
The product of its (nonzero) digits is 217728, while the sum is 45.
The spelling of 61631879400 in words is "sixty-one billion, six hundred thirty-one million, eight hundred seventy-nine thousand, four hundred".
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