Base | Representation |
---|---|
bin | 1000101010001010001… |
… | …1000111001011000000 |
3 | 112012222001122211201000 |
4 | 2022202203013023000 |
5 | 4414123014021342 |
6 | 152200525212000 |
7 | 13514212102251 |
oct | 2124243071300 |
9 | 465861584630 |
10 | 148756001472 |
11 | 580a59806a1 |
12 | 249b6101000 |
13 | 11048921460 |
14 | 72b248ab28 |
15 | 3d097a244c |
hex | 22a28c72c0 |
148756001472 has 448 divisors, whose sum is σ = 479291904000. Its totient is φ = 44969250816.
The previous prime is 148756001467. The next prime is 148756001489. The reversal of 148756001472 is 274100657841.
148756001472 is a `hidden beast` number, since 1 + 4 + 8 + 7 + 560 + 0 + 14 + 72 = 666.
It is an unprimeable number.
It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552996154 + ... + 552996422.
It is an arithmetic number, because the mean of its divisors is an integer number (1069848000).
Almost surely, 2148756001472 is an apocalyptic number.
148756001472 is a gapful number since it is divisible by the number (12) 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 148756001472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239645952000).
148756001472 is an abundant number, since it is smaller than the sum of its proper divisors (330535902528).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148756001472 is a wasteful number, since it uses less digits than its factorization.
148756001472 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 645 (or 629 counting only the distinct ones).
The product of its (nonzero) digits is 376320, while the sum is 45.
The spelling of 148756001472 in words is "one hundred forty-eight billion, seven hundred fifty-six million, one thousand, four hundred seventy-two".
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