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4592212992 = 210321729311
BaseRepresentation
bin1000100011011011…
…11001110000000000
3102212001001120221200
410101231321300000
533401101303432
62035403021200
7221541111033
oct42155716000
912761046850
104592212992
111a47203654
12a81b0a800
13582521ac3
14317c7101a
151bd255a7c
hex111b79c00

4592212992 has 132 divisors (see below), whose sum is σ = 14040389376. Its totient is φ = 1440645120.

The previous prime is 4592212987. The next prime is 4592213023. The reversal of 4592212992 is 2992122954.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 142017 + ... + 171327.

Almost surely, 24592212992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4592212992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020194688).

4592212992 is an abundant number, since it is smaller than the sum of its proper divisors (9448176384).

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

4592212992 is a wasteful number, since it uses less digits than its factorization.

4592212992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29354 (or 29333 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 4592212992 is about 67765.8689311957. The cubic root of 4592212992 is about 1662.1645195043.

The spelling of 4592212992 in words is "four billion, five hundred ninety-two million, two hundred twelve thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1024 1088 1152 1224 1536 1632 2176 2304 2448 3072 3264 4352 4608 4896 6528 8704 9216 9792 13056 17408 19584 26112 29311 39168 52224 58622 78336 87933 117244 156672 175866 234488 263799 351732 468976 498287 527598 703464 937952 996574 1055196 1406928 1494861 1875904 1993148 2110392 2813856 2989722 3751808 3986296 4220784 4484583 5627712 5979444 7503616 7972592 8441568 8969166 11255424 11958888 15007232 15945184 16883136 17938332 22510848 23917776 30014464 31890368 33766272 35876664 45021696 47835552 63780736 67532544 71753328 90043392 95671104 127561472 135065088 143506656 191342208 255122944 270130176 287013312 382684416 510245888 574026624 765368832 1148053248 1530737664 2296106496 4592212992