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20434008870 = 23251137215077
BaseRepresentation
bin10011000001111101…
…100011101100100110
31221202002012012111100
4103001331203230212
5313322101240440
613215351420530
71322242131612
oct230175435446
957662165440
1020434008870
118736513340
123b63384746
131c08595b12
14dbbbc0342
157e8deb230
hex4c1f63b26

20434008870 has 144 divisors (see below), whose sum is σ = 59571006768. Its totient is φ = 4819495680.

The previous prime is 20434008863. The next prime is 20434008877. The reversal of 20434008870 is 7880043402.

20434008870 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (20434008863) and next prime (20434008877).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20434008877) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1347772 + ... + 1362848.

It is an arithmetic number, because the mean of its divisors is an integer number (413687547).

Almost surely, 220434008870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20434008870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29785503384).

20434008870 is an abundant number, since it is smaller than the sum of its proper divisors (39136997898).

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

20434008870 is a wasteful number, since it uses less digits than its factorization.

20434008870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15175 (or 15135 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 20434008870 in words is "twenty billion, four hundred thirty-four million, eight thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 37 45 55 66 74 90 99 110 111 165 185 198 222 330 333 370 407 495 555 666 814 990 1110 1221 1369 1665 2035 2442 2738 3330 3663 4070 4107 6105 6845 7326 8214 12210 12321 13690 15059 15077 18315 20535 24642 30118 30154 36630 41070 45177 45231 61605 75295 75385 90354 90462 123210 135531 135693 150590 150770 165847 225885 226155 271062 271386 331694 451770 452310 497541 557849 677655 678465 829235 995082 1115698 1355310 1356930 1492623 1658470 1673547 2487705 2789245 2985246 3347094 4975410 5020641 5578490 6136339 7463115 8367735 10041282 12272678 14926230 16735470 18409017 20640413 25103205 30681695 36818034 41280826 50206410 55227051 61363390 61921239 92045085 103202065 110454102 123842478 184090170 185763717 206404130 227044543 276135255 309606195 371527434 454089086 552270510 619212390 681133629 928818585 1135222715 1362267258 1857637170 2043400887 2270445430 3405668145 4086801774 6811336290 10217004435 20434008870