| Base | Representation |
|---|---|
| bin | 10101001101101010111001… |
| … | …11100000000101000100000 |
| 3 | 20010011121201212222122121000 |
| 4 | 22212311130330000220200 |
| 5 | 22103300024423140320 |
| 6 | 243114202435432000 |
| 7 | 12553202432241402 |
| oct | 1246653474005040 |
| 9 | 203147655878530 |
| 10 | 46649199036960 |
| 11 | 139558a5794743 |
| 12 | 5294b16455600 |
| 13 | 20050013c5440 |
| 14 | b73b94742b72 |
| 15 | 55d6bcdeec90 |
| hex | 2a6d5cf00a20 |
46649199036960 has 2304 divisors, whose sum is σ = 190119826391040. Its totient is φ = 10607708160000.
The previous prime is 46649199036953. The next prime is 46649199036961. The reversal of 46649199036960 is 6963099194664.
46649199036960 is a `hidden beast` number, since 46 + 6 + 491 + 9 + 9 + 0 + 3 + 6 + 96 + 0 = 666.
It is a super-2 number, since 2×466491990369602 (a number of 28 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is not an unprimeable number, because it can be changed into a prime (46649199036961) by changing a digit.
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 383 ways as a sum of consecutive naturals, for example, 221086251255 + ... + 221086251465.
It is an arithmetic number, because the mean of its divisors is an integer number (82517285760).
Almost surely, 246649199036960 is an apocalyptic number.
46649199036960 is a gapful number since it is divisible by the number (40) 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 46649199036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95059913195520).
46649199036960 is an abundant number, since it is smaller than the sum of its proper divisors (143470627354080).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
46649199036960 is a wasteful number, since it uses less digits than its factorization.
46649199036960 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 488 (or 445 counting only the distinct ones).
The product of its (nonzero) digits is 408146688, while the sum is 72.
The spelling of 46649199036960 in words is "forty-six trillion, six hundred forty-nine billion, one hundred ninety-nine million, thirty-six thousand, nine hundred sixty".
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