| Base | Representation |
|---|---|
| bin | 1000111011100001011… |
| … | …0100000000000000000 |
| 3 | 112122222212200222022000 |
| 4 | 2032320112200000000 |
| 5 | 10003144142330334 |
| 6 | 154251221344000 |
| 7 | 14040544645410 |
| oct | 2167026400000 |
| 9 | 478885628260 |
| 10 | 153416761344 |
| 11 | 5a077842560 |
| 12 | 25896b68000 |
| 13 | 1160c3c3532 |
| 14 | 75d5482640 |
| 15 | 3ecda48299 |
| hex | 23b85a0000 |
153416761344 has 576 divisors, whose sum is σ = 567738823680. Its totient is φ = 39777730560.
The previous prime is 153416761343. The next prime is 153416761349. The reversal of 153416761344 is 443167614351.
153416761344 is a `hidden beast` number, since 1 + 534 + 1 + 6 + 76 + 1 + 3 + 44 = 666.
It is a tau number, because it is divible by the number of its divisors (576).
It is a super-2 number, since 2×1534167613442 (a number of 23 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 153416761344.
It is not an unprimeable number, because it can be changed into a prime (153416761343) 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, 272498407 + ... + 272498969.
It is an arithmetic number, because the mean of its divisors is an integer number (985657680).
Almost surely, 2153416761344 is an apocalyptic number.
153416761344 is a gapful number since it is divisible by the number (14) 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 153416761344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283869411840).
153416761344 is an abundant number, since it is smaller than the sum of its proper divisors (414322062336).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
153416761344 is an frugal number, since it uses more digits than its factorization.
153416761344 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 624 (or 586 counting only the distinct ones).
The product of its digits is 725760, while the sum is 45.
The spelling of 153416761344 in words is "one hundred fifty-three billion, four hundred sixteen million, seven hundred sixty-one thousand, three hundred forty-four".
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