| Base | Representation |
|---|---|
| bin | 100001100111000100… |
| … | …0101010010000000000 |
| 3 | 20220022012100212011010 |
| 4 | 1003032020222100000 |
| 5 | 2140310012302230 |
| 6 | 53054045520520 |
| 7 | 5133430426410 |
| oct | 1031610522000 |
| 9 | 226265325133 |
| 10 | 72177853440 |
| 11 | 28679575650 |
| 12 | 11ba4273140 |
| 13 | 6a636c3824 |
| 14 | 36c9d6a640 |
| 15 | 1d269059b0 |
| hex | 10ce22a400 |
72177853440 has 352 divisors, whose sum is σ = 287825624064. Its totient is φ = 14997749760.
The previous prime is 72177853403. The next prime is 72177853441. The reversal of 72177853440 is 4435877127.
It is a tau number, because it is divible by the number of its divisors (352).
It is a super-2 number, since 2×721778534402 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a self number, because there is not a number n which added to its sum of digits gives 72177853440.
It is not an unprimeable number, because it can be changed into a prime (72177853441) 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 31 ways as a sum of consecutive naturals, for example, 1152207 + ... + 1213233.
It is an arithmetic number, because the mean of its divisors is an integer number (817686432).
Almost surely, 272177853440 is an apocalyptic number.
72177853440 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 72177853440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143912812032).
72177853440 is an abundant number, since it is smaller than the sum of its proper divisors (215647770624).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
72177853440 is a wasteful number, since it uses less digits than its factorization.
72177853440 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61073 (or 61055 counting only the distinct ones).
The product of its (nonzero) digits is 1317120, while the sum is 48.
The spelling of 72177853440 in words is "seventy-two billion, one hundred seventy-seven million, eight hundred fifty-three thousand, four hundred forty".
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