Base | Representation |
---|---|
bin | 100011101111010111110010… |
… | …110111011100100000000000 |
3 | 202121112221002210021211100000 |
4 | 203233113302313130200000 |
5 | 131100322430121041030 |
6 | 1314150412501200000 |
7 | 45052246133166624 |
oct | 4357276267344000 |
9 | 677487083254300 |
10 | 157186992752640 |
11 | 460a26a16092a4 |
12 | 15767a85a00000 |
13 | 6992892775026 |
14 | 2ab5c6903d184 |
15 | 1328bdb1bd860 |
hex | 8ef5f2ddc800 |
157186992752640 has 2304 divisors, whose sum is σ = 613227950899200. Its totient is φ = 38490241499136.
The previous prime is 157186992752633. The next prime is 157186992752663. The reversal of 157186992752640 is 46257299681751.
157186992752640 is a `hidden beast` number, since 1 + 5 + 7 + 1 + 8 + 6 + 9 + 92 + 7 + 526 + 4 + 0 = 666.
157186992752640 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (2304).
It is a Harshad number since it is a multiple of its sum of digits (72).
It is an unprimeable number.
It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 282202859242 + ... + 282202859798.
It is an arithmetic number, because the mean of its divisors is an integer number (266157964800).
Almost surely, 2157186992752640 is an apocalyptic number.
157186992752640 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 157186992752640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306613975449600).
157186992752640 is an abundant number, since it is smaller than the sum of its proper divisors (456040958146560).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
157186992752640 is a wasteful number, since it uses less digits than its factorization.
157186992752640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 792 (or 760 counting only the distinct ones).
The product of its (nonzero) digits is 457228800, while the sum is 72.
The spelling of 157186992752640 in words is "one hundred fifty-seven trillion, one hundred eighty-six billion, nine hundred ninety-two million, seven hundred fifty-two thousand, six hundred forty".
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