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1023672149232 = 243479369712043
BaseRepresentation
bin11101110010101111001…
…11010110010011110000
310121212021110202012110220
432321113213112103300
5113232440032233412
62102133554453040
7133646356462245
oct16712747262360
93555243665426
101023672149232
11365156271a97
12146489894180
13756bb695435
14377902dd5cc
151b964a9668c
hexee579d64f0

1023672149232 has 80 divisors (see below), whose sum is σ = 2650944138240. Its totient is φ = 340391310336.

The previous prime is 1023672149221. The next prime is 1023672149233. The reversal of 1023672149232 is 2329412763201.

It is a super-2 number, since 2×10236721492322 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023672149233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84995403 + ... + 85007445.

It is an arithmetic number, because the mean of its divisors is an integer number (33136801728).

Almost surely, 21023672149232 is an apocalyptic number.

1023672149232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1023672149232 is an abundant number, since it is smaller than the sum of its proper divisors (1627271989008).

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

1023672149232 is a wasteful number, since it uses less digits than its factorization.

1023672149232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16230 (or 16224 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 1023672149232 in words is "one trillion, twenty-three billion, six hundred seventy-two million, one hundred forty-nine thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 479 958 1437 1916 2874 3697 3832 5748 7394 7664 11091 11496 12043 14788 22182 22992 24086 29576 36129 44364 48172 59152 72258 88728 96344 144516 177456 192688 289032 578064 1770863 3541726 5312589 5768597 7083452 10625178 11537194 14166904 17305791 21250356 23074388 28333808 34611582 42500712 44522971 46148776 69223164 85001424 89045942 92297552 133568913 138446328 178091884 267137826 276892656 356183768 534275652 712367536 1068551304 2137102608 21326503109 42653006218 63979509327 85306012436 127959018654 170612024872 255918037308 341224049744 511836074616 1023672149232