| Base | Representation |
|---|---|
| bin | 1000110111100110100… |
| … | …0000011111110110000 |
| 3 | 112120021112111111200200 |
| 4 | 2031321220003332300 |
| 5 | 4444020241304220 |
| 6 | 153554545515200 |
| 7 | 14002506015231 |
| oct | 2157150037660 |
| 9 | 476245444620 |
| 10 | 152364400560 |
| 11 | 596878062a9 |
| 12 | 25642642b00 |
| 13 | 114a2382548 |
| 14 | 75357c5088 |
| 15 | 3e6b472890 |
| hex | 2379a03fb0 |
152364400560 has 240 divisors, whose sum is σ = 515678619456. Its totient is φ = 40314765312.
The previous prime is 152364400523. The next prime is 152364400597. The reversal of 152364400560 is 65004463251.
152364400560 is a `hidden beast` number, since 1 + 5 + 2 + 3 + 644 + 0 + 0 + 5 + 6 + 0 = 666.
152364400560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (152364400523) and next prime (152364400597).
It is a tau number, because it is divible by the number of its divisors (240).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
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 47 ways as a sum of consecutive naturals, for example, 117473832 + ... + 117475128.
Almost surely, 2152364400560 is an apocalyptic number.
152364400560 is a gapful number since it is divisible by the number (10) 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 152364400560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257839309728).
152364400560 is an abundant number, since it is smaller than the sum of its proper divisors (363314218896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
152364400560 is a wasteful number, since it uses less digits than its factorization.
152364400560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2460 (or 2451 counting only the distinct ones).
The product of its (nonzero) digits is 86400, while the sum is 36.
The spelling of 152364400560 in words is "one hundred fifty-two billion, three hundred sixty-four million, four hundred thousand, five hundred sixty".
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