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20365267244532 = 22372521237727967
BaseRepresentation
bin1001010000101101010001…
…00001010001010111110100
32200002220022111020002021220
410220112220201101113310
510132131031403311112
6111151401414510340
74201225210253100
oct450265041212764
980086274202256
1020365267244532
116541952490151
12234ab129653b0
13b49589b9ac62
145059815dc900
15254b323dc98c
hex1285a88515f4

20365267244532 has 144 divisors (see below), whose sum is σ = 55408532917248. Its totient is φ = 5804828789760.

The previous prime is 20365267244447. The next prime is 20365267244537. The reversal of 20365267244532 is 23544276256302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20365267244537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728175213 + ... + 728203179.

It is an arithmetic number, because the mean of its divisors is an integer number (384781478592).

Almost surely, 220365267244532 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 20365267244532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27704266458624).

20365267244532 is an abundant number, since it is smaller than the sum of its proper divisors (35043265672716).

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

20365267244532 is a wasteful number, since it uses less digits than its factorization.

20365267244532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30886 (or 30877 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 51.

The spelling of 20365267244532 in words is "twenty trillion, three hundred sixty-five billion, two hundred sixty-seven million, two hundred forty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 521 588 1042 1563 2084 2377 3126 3647 4754 6252 7131 7294 9508 10941 14262 14588 16639 21882 25529 27967 28524 33278 43764 49917 51058 55934 66556 76587 83901 99834 102116 111868 116473 153174 167802 195769 199668 232946 306348 335604 349419 391538 465892 587307 698838 783076 1174614 1238417 1370383 1397676 2349228 2476834 2740766 3715251 4111149 4953668 5481532 7430502 8222298 8668919 14570807 14861004 16444596 17337838 26006757 29141614 34675676 43712421 52013514 58283228 60682433 66477559 87424842 101995649 104027028 121364866 132955118 174849684 182047299 199432677 203991298 242729732 265910236 305986947 364094598 398865354 407982596 465342913 611973894 713969543 728189196 797730708 930685826 1223947788 1396028739 1427939086 1861371652 2141908629 2792057478 2855878172 3257400391 4283817258 5584114956 6514800782 8567634516 9772201173 13029601564 19544402346 34634808239 39088804692 69269616478 103904424717 138539232956 207808849434 242443657673 415617698868 484887315346 727330973019 969774630692 1454661946038 1697105603711 2909323892076 3394211207422 5091316811133 6788422414844 10182633622266 20365267244532