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442051253699952 = 243131580944810897
BaseRepresentation
bin110010010000010110001001…
…1111100110000010101110000
32010222011200112220220201001210
41210200230103330300111300
5430420031431421344302
64204055313101000120
7162053102104532661
oct14440542374602560
92128150486821053
10442051253699952
1111893a97a508966
12416b45b2553040
1315c8733ca93290
147b23575611368
153618b7a7b466c
hex1920b13f30570

442051253699952 has 80 divisors (see below), whose sum is σ = 1229887076251680. Its totient is φ = 136007163641856.

The previous prime is 442051253699921. The next prime is 442051253699953. The reversal of 442051253699952 is 259996352150244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442051253699953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12540633 + ... + 32270264.

It is an arithmetic number, because the mean of its divisors is an integer number (15373588453146).

Almost surely, 2442051253699952 is an apocalyptic number.

It is an amenable number.

442051253699952 is an abundant number, since it is smaller than the sum of its proper divisors (787835822551728).

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

442051253699952 is a wasteful number, since it uses less digits than its factorization.

442051253699952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44826730 (or 44826724 counting only the distinct ones).

The product of its (nonzero) digits is 209952000, while the sum is 66.

The spelling of 442051253699952 in words is "four hundred forty-two trillion, fifty-one billion, two hundred fifty-three million, six hundred ninety-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 15809 31618 47427 63236 94854 126472 189708 205517 252944 379416 411034 616551 758832 822068 1233102 1644136 2466204 3288272 4932408 9864816 44810897 89621794 134432691 179243588 268865382 358487176 537730764 582541661 716974352 1075461528 1165083322 1747624983 2150923056 2330166644 3495249966 4660333288 6990499932 9320666576 13980999864 27961999728 708415470673 1416830941346 2125246412019 2833661882692 4250492824038 5667323765384 8500985648076 9209401118749 11334647530768 17001971296152 18418802237498 27628203356247 34003942592304 36837604474996 55256406712494 73675208949992 110512813424988 147350417899984 221025626849976 442051253699952