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4137148368 = 2432231249139
BaseRepresentation
bin1111011010010111…
…1101111111010000
3101200022202220122100
43312211331333100
531433102221433
61522305240400
7204344116023
oct36645757720
911608686570
104137148368
111833348891
12975633100
1350c170ab2
142b36551ba
15193316b13
hexf697dfd0

4137148368 has 60 divisors (see below), whose sum is σ = 12081682080. Its totient is φ = 1319089728.

The previous prime is 4137148333. The next prime is 4137148403. The reversal of 4137148368 is 8638417314.

4137148368 is a `hidden beast` number, since 41 + 3 + 71 + 483 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (4137148333) and next prime (4137148403).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 621258 + ... + 627881.

It is an arithmetic number, because the mean of its divisors is an integer number (201361368).

Almost surely, 24137148368 is an apocalyptic number.

4137148368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4137148368 is an abundant number, since it is smaller than the sum of its proper divisors (7944533712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4137148368 is a wasteful number, since it uses less digits than its factorization.

4137148368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249176 (or 1249167 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 4137148368 is about 64320.6682801104. The cubic root of 4137148368 is about 1605.3400182176.

The spelling of 4137148368 in words is "four billion, one hundred thirty-seven million, one hundred forty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 36 46 48 69 72 92 138 144 184 207 276 368 414 552 828 1104 1656 3312 1249139 2498278 3747417 4996556 7494834 9993112 11242251 14989668 19986224 22484502 28730197 29979336 44969004 57460394 59958672 86190591 89938008 114920788 172381182 179876016 229841576 258571773 344762364 459683152 517143546 689524728 1034287092 1379049456 2068574184 4137148368