Search a number
-
+
21533243620 = 2257733595869
BaseRepresentation
bin10100000011011110…
…110011100011100100
32001120200121010002111
4110003132303203210
5323100002243440
613520420050404
71361420356630
oct240336634344
961520533074
1021533243620
11914aa55709
12420b533a04
132052239395
141083b9ddc0
158606804ea
hex5037b38e4

21533243620 has 96 divisors (see below), whose sum is σ = 52542604800. Its totient is φ = 7260171264.

The previous prime is 21533243617. The next prime is 21533243623. The reversal of 21533243620 is 2634233512.

It is an interprime number because it is at equal distance from previous prime (21533243617) and next prime (21533243623).

It is not an unprimeable number, because it can be changed into a prime (21533243623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3666046 + ... + 3671914.

It is an arithmetic number, because the mean of its divisors is an integer number (547318800).

Almost surely, 221533243620 is an apocalyptic number.

21533243620 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 21533243620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26271302400).

21533243620 is an abundant number, since it is smaller than the sum of its proper divisors (31009361180).

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

21533243620 is a wasteful number, since it uses less digits than its factorization.

21533243620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6317 (or 6315 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

The spelling of 21533243620 in words is "twenty-one billion, five hundred thirty-three million, two hundred forty-three thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 140 146 292 359 365 511 718 730 1022 1436 1460 1795 2044 2513 2555 3590 5026 5110 5869 7180 10052 10220 11738 12565 23476 25130 26207 29345 41083 50260 52414 58690 82166 104828 117380 131035 164332 183449 205415 262070 366898 410830 428437 524140 733796 821660 856874 917245 1713748 1834490 2106971 2142185 2999059 3668980 4213942 4284370 5998118 8427884 8568740 10534855 11996236 14748797 14995295 21069710 29497594 29990590 42139420 58995188 59981180 73743985 147487970 153808883 294975940 307617766 615235532 769044415 1076662181 1538088830 2153324362 3076177660 4306648724 5383310905 10766621810 21533243620