| Base | Representation |
|---|---|
| bin | 100010001001000110… |
| … | …1001011010000000000 |
| 3 | 21000020210022012212200 |
| 4 | 1010102031023100000 |
| 5 | 2200124342402442 |
| 6 | 53403243353200 |
| 7 | 5203635523020 |
| oct | 1042215132000 |
| 9 | 230223265780 |
| 10 | 73319887872 |
| 11 | 2910518aa60 |
| 12 | 12262822800 |
| 13 | 6bb61a104a |
| 14 | 37978cba80 |
| 15 | 1d91ce134c |
| hex | 111234b400 |
73319887872 has 528 divisors, whose sum is σ = 265612693632. Its totient is φ = 18924503040.
The previous prime is 73319887871. The next prime is 73319887897. The reversal of 73319887872 is 27878891337.
It is a tau number, because it is divible by the number of its divisors (528).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (73319887871) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196567878 + ... + 196568250.
It is an arithmetic number, because the mean of its divisors is an integer number (503054344).
Almost surely, 273319887872 is an apocalyptic number.
73319887872 is a gapful number since it is divisible by the number (72) 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 73319887872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132806346816).
73319887872 is an abundant number, since it is smaller than the sum of its proper divisors (192292805760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
73319887872 is a wasteful number, since it uses less digits than its factorization.
73319887872 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 694 (or 673 counting only the distinct ones).
The product of its digits is 28449792, while the sum is 63.
It can be divided in two parts, 73319 and 887872, that added together give a triangular number (961191 = T1386).
The spelling of 73319887872 in words is "seventy-three billion, three hundred nineteen million, eight hundred eighty-seven thousand, eight hundred seventy-two".
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