Search a number
-
+
21733932640 = 255735115527
BaseRepresentation
bin10100001111011100…
…010111111001100000
32002002200020011200011
4110033130113321200
5324002341321030
613552345334304
71366405244050
oct241734277140
962080204604
1021733932640
119243269302
124266797394
1320849a5194
1410a26c1560
158730c3b2a
hex50f717e60

21733932640 has 96 divisors (see below), whose sum is σ = 58708952064. Its totient is φ = 7448163840.

The previous prime is 21733932611. The next prime is 21733932643. The reversal of 21733932640 is 4623933712.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 21733932593 and 21733932602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21733932643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3929557 + ... + 3935083.

It is an arithmetic number, because the mean of its divisors is an integer number (611551584).

Almost surely, 221733932640 is an apocalyptic number.

21733932640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21733932640 is an abundant number, since it is smaller than the sum of its proper divisors (36975019424).

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

21733932640 is a wasteful number, since it uses less digits than its factorization.

21733932640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9060 (or 9052 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 40.

The spelling of 21733932640 in words is "twenty-one billion, seven hundred thirty-three million, nine hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 3511 5527 7022 11054 14044 17555 22108 24577 27635 28088 35110 38689 44216 49154 55270 56176 70220 77378 88432 98308 110540 112352 122885 140440 154756 176864 193445 196616 221080 245770 280880 309512 386890 393232 442160 491540 561760 619024 773780 786464 884320 983080 1238048 1547560 1966160 3095120 3932320 6190240 19405297 38810594 77621188 97026485 135837079 155242376 194052970 271674158 310484752 388105940 543348316 620969504 679185395 776211880 1086696632 1358370790 1552423760 2173393264 2716741580 3104847520 4346786528 5433483160 10866966320 21733932640