| Base | Representation |
|---|---|
| bin | 10000100100110110101101… |
| … | …101100011001100000000000 |
| 3 | 100120010022020111022212012000 |
| 4 | 100210312231230121200000 |
| 5 | 34023404023331342120 |
| 6 | 415014234342304000 |
| 7 | 21232644334565040 |
| oct | 2044665554314000 |
| 9 | 316108214285160 |
| 10 | 72901394012160 |
| 11 | 2125734242576a |
| 12 | 8214941428000 |
| 13 | 318a75878a32c |
| 14 | 14006368d1720 |
| 15 | 8664ec5b0990 |
| hex | 424dadb19800 |
72901394012160 has 1536 divisors, whose sum is σ = 306722665267200. Its totient is φ = 16072556544000.
The previous prime is 72901394012159. The next prime is 72901394012177. The reversal of 72901394012160 is 6121049310927.
72901394012160 is a `hidden beast` number, since 7 + 2 + 90 + 1 + 394 + 0 + 12 + 160 = 666.
It is a tau number, because it is divible by the number of its divisors (1536).
It is a super-2 number, since 2×729013940121602 (a number of 29 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 19858727125 + ... + 19858730795.
It is an arithmetic number, because the mean of its divisors is an integer number (199689235200).
Almost surely, 272901394012160 is an apocalyptic number.
72901394012160 is a gapful number since it is divisible by the number (70) 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 72901394012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153361332633600).
72901394012160 is an abundant number, since it is smaller than the sum of its proper divisors (233821271255040).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
72901394012160 is a wasteful number, since it uses less digits than its factorization.
72901394012160 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4076 (or 4050 counting only the distinct ones).
The product of its (nonzero) digits is 163296, while the sum is 45.
The spelling of 72901394012160 in words is "seventy-two trillion, nine hundred one billion, three hundred ninety-four million, twelve thousand, one hundred sixty".
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