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642826723025720 = 2352312738771419079
BaseRepresentation
bin1001001000101001011100001…
…0011110100110001100111000
310010022001122010120220010201202
42102022113002132212030320
51133224033112043310340
610155102304133233332
7252254461311521042
oct22212270236461470
93108048116803652
10642826723025720
11176908311765312
1260120160a92848
132178c3b8a9a56c
14b4a4d9d6a2a92
154e4b5e927cc15
hex248a5c27a6338

642826723025720 has 128 divisors (see below), whose sum is σ = 1521522590515200. Its totient is φ = 243951360339456.

The previous prime is 642826723025701. The next prime is 642826723025737. The reversal of 642826723025720 is 27520327628246.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452279141 + ... + 453698219.

It is an arithmetic number, because the mean of its divisors is an integer number (11886895238400).

Almost surely, 2642826723025720 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 642826723025720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760761295257600).

642826723025720 is an abundant number, since it is smaller than the sum of its proper divisors (878695867489480).

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

642826723025720 is a wasteful number, since it uses less digits than its factorization.

642826723025720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423117 (or 1423113 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 56.

The spelling of 642826723025720 in words is "six hundred forty-two trillion, eight hundred twenty-six billion, seven hundred twenty-three million, twenty-five thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 127 184 230 254 460 508 635 920 1016 1270 2540 2921 3877 5080 5842 7754 11684 14605 15508 19385 23368 29210 31016 38770 58420 77540 89171 116840 155080 178342 356684 445855 492379 713368 891710 984758 1419079 1783420 1969516 2461895 2838158 3566840 3939032 4923790 5676316 7095395 9847580 11324717 11352632 14190790 19695160 22649434 28381580 32638817 45298868 56623585 56763160 65277634 90597736 113247170 130555268 163194085 180223033 226494340 261110536 326388170 360446066 452988680 652776340 720892132 901115165 1305552680 1441784264 1802230330 3604460660 4145129759 5501769283 7208921320 8290259518 11003538566 16580519036 20725648795 22007077132 27508846415 33161038072 41451297590 44014154264 55017692830 82902595180 110035385660 126540693509 165805190360 220070771320 253081387018 506162774036 632703467545 698724698941 1012325548072 1265406935090 1397449397882 2530813870180 2794898795764 3493623494705 5061627740360 5589797591528 6987246989410 13974493978820 16070668075643 27948987957640 32141336151286 64282672302572 80353340378215 128565344605144 160706680756430 321413361512860 642826723025720