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147282928920 = 23325409119247
BaseRepresentation
bin1000100100101010111…
…1110010010100011000
3112002011101211000001100
42021022233302110120
54403113412211140
6151354424151400
713432544145141
oct2111257622430
9462141730040
10147282928920
115750a412466
1224664908560
1310b726997aa
1471b2996ac8
153c702c6530
hex224abf2518

147282928920 has 48 divisors (see below), whose sum is σ = 478669520160. Its totient is φ = 39275447616.

The previous prime is 147282928909. The next prime is 147282928939. The reversal of 147282928920 is 29829282741.

147282928920 is a `hidden beast` number, since 1 + 472 + 8 + 2 + 92 + 89 + 2 + 0 = 666.

It is a super-2 number, since 2×1472829289202 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204559264 + ... + 204559983.

It is an arithmetic number, because the mean of its divisors is an integer number (9972281670).

Almost surely, 2147282928920 is an apocalyptic number.

147282928920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147282928920 is an abundant number, since it is smaller than the sum of its proper divisors (331386591240).

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

147282928920 is a wasteful number, since it uses less digits than its factorization.

147282928920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409119264 (or 409119257 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 147282928920 in words is "one hundred forty-seven billion, two hundred eighty-two million, nine hundred twenty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 409119247 818238494 1227357741 1636476988 2045596235 2454715482 3272953976 3682073223 4091192470 4909430964 6136788705 7364146446 8182384940 9818861928 12273577410 14728292892 16364769880 18410366115 24547154820 29456585784 36820732230 49094309640 73641464460 147282928920