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149867735376 = 24329227474289
BaseRepresentation
bin1000101110010011010…
…0000010100101010000
3112022211112120202220210
42023210310002211100
54423412120013001
6152503121404120
713553601506052
oct2134464024520
9468745522823
10149867735376
115861647a847
1225066499640
131119504cc78
147379da18d2
153d721a4dd6
hex22e4d02950

149867735376 has 80 divisors (see below), whose sum is σ = 402273806400. Its totient is φ = 48020711424.

The previous prime is 149867735341. The next prime is 149867735383. The reversal of 149867735376 is 673537768941.

It is a super-2 number, since 2×1498677353762 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78840 + ... + 553128.

It is an arithmetic number, because the mean of its divisors is an integer number (5028422580).

Almost surely, 2149867735376 is an apocalyptic number.

149867735376 is a gapful number since it is divisible by the number (16) 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 149867735376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201136903200).

149867735376 is an abundant number, since it is smaller than the sum of its proper divisors (252406071024).

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

149867735376 is a wasteful number, since it uses less digits than its factorization.

149867735376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474556 (or 474550 counting only the distinct ones).

The product of its digits is 160030080, while the sum is 66.

The spelling of 149867735376 in words is "one hundred forty-nine billion, eight hundred sixty-seven million, seven hundred thirty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 227 232 348 454 464 681 696 908 1362 1392 1816 2724 3632 5448 6583 10896 13166 19749 26332 39498 52664 78996 105328 157992 315984 474289 948578 1422867 1897156 2845734 3794312 5691468 7588624 11382936 13754381 22765872 27508762 41263143 55017524 82526286 107663603 110035048 165052572 215327206 220070096 322990809 330105144 430654412 645981618 660210288 861308824 1291963236 1722617648 2583926472 3122244487 5167852944 6244488974 9366733461 12488977948 18733466922 24977955896 37466933844 49955911792 74933867688 149867735376