Search a number
-
+
32422636620 = 223251161326713
BaseRepresentation
bin11110001100100010…
…100010110001001100
310002200120220121001100
4132030202202301030
51012400143332440
622521133343100
72225314602243
oct361442426114
9102616817040
1032422636620
1112828807860
12634a337a90
1330992782aa
1417d80bb95a
15c9b672230
hex78c8a2c4c

32422636620 has 144 divisors (see below), whose sum is σ = 107468498592. Its totient is φ = 7846917120.

The previous prime is 32422636591. The next prime is 32422636627. The reversal of 32422636620 is 2663622423.

32422636620 is a `hidden beast` number, since 3 + 2 + 4 + 2 + 26 + 3 + 6 + 620 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (32422636627) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1200384 + ... + 1227096.

It is an arithmetic number, because the mean of its divisors is an integer number (746309018).

Almost surely, 232422636620 is an apocalyptic number.

32422636620 is a gapful number since it is divisible by the number (30) 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 32422636620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53734249296).

32422636620 is an abundant number, since it is smaller than the sum of its proper divisors (75045861972).

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

32422636620 is a wasteful number, since it uses less digits than its factorization.

32422636620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27352 (or 27347 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

The spelling of 32422636620 in words is "thirty-two billion, four hundred twenty-two million, six hundred thirty-six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 613 660 990 1226 1839 1980 2452 3065 3678 5517 6130 6743 7356 9195 11034 12260 13486 18390 20229 22068 26713 26972 27585 33715 36780 40458 53426 55170 60687 67430 80139 80916 101145 106852 110340 121374 133565 134860 160278 202290 240417 242748 267130 293843 303435 320556 400695 404580 480834 534260 587686 606870 801390 881529 961668 1175372 1202085 1213740 1469215 1602780 1763058 2404170 2644587 2938430 3526116 4407645 4808340 5289174 5876860 8815290 10578348 13222935 16375069 17630580 26445870 32750138 49125207 52891740 65500276 81875345 98250414 147375621 163750690 180125759 196500828 245626035 294751242 327501380 360251518 491252070 540377277 589502484 720503036 736878105 900628795 982504140 1080754554 1473756210 1621131831 1801257590 2161509108 2701886385 2947512420 3242263662 3602515180 5403772770 6484527324 8105659155 10807545540 16211318310 32422636620