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2283026970640 = 2451343127401981
BaseRepresentation
bin100001001110001111000…
…000101111100000010000
322002020220002000122120011
4201032033000233200100
5244401114401030030
64504450315124304
7323641352026663
oct41161700574020
98066802018504
102283026970640
1180025422a999
1230a571143694
13137399b53a30
147c6db7336da
153e5c0540b2a
hex2138f02f810

2283026970640 has 160 divisors (see below), whose sum is σ = 5895358672896. Its totient is φ = 816874813440.

The previous prime is 2283026970629. The next prime is 2283026970649. The reversal of 2283026970640 is 460796203822.

It is not an unprimeable number, because it can be changed into a prime (2283026970649) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5478450 + ... + 5880430.

Almost surely, 22283026970640 is an apocalyptic number.

2283026970640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2283026970640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2947679336448).

2283026970640 is an abundant number, since it is smaller than the sum of its proper divisors (3612331702256).

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

2283026970640 is a wasteful number, since it uses less digits than its factorization.

2283026970640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402177 (or 402171 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 2283026970640 in words is "two trillion, two hundred eighty-three billion, twenty-six million, nine hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 127 130 172 208 215 254 260 344 430 508 520 559 635 688 860 1016 1040 1118 1270 1651 1720 2032 2236 2540 2795 3302 3440 4472 5080 5461 5590 6604 8255 8944 10160 10922 11180 13208 16510 21844 22360 26416 27305 33020 43688 44720 54610 66040 70993 87376 109220 132080 141986 218440 283972 354965 401981 436880 567944 709930 803962 1135888 1419860 1607924 2009905 2839720 3215848 4019810 5225753 5679440 6431696 8039620 10451506 16079240 17285183 20903012 26128765 32158480 34570366 41806024 51051587 52257530 69140732 83612048 86425915 102103174 104515060 138281464 172851830 204206348 209030120 224707379 255257935 276562928 345703660 408412696 418060240 449414758 510515870 663670631 691407320 816825392 898829516 1021031740 1123536895 1327341262 1382814640 1797659032 2042063480 2195218241 2247073790 2654682524 3318353155 3595318064 4084126960 4390436482 4494147580 5309365048 6636706310 8780872964 8988295160 10618730096 10976091205 13273412620 17561745928 17976590320 21952182410 26546825240 28537837133 35123491856 43904364820 53093650480 57075674266 87808729640 114151348532 142689185665 175617459280 228302697064 285378371330 456605394128 570756742660 1141513485320 2283026970640