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21034550240 = 2551117836703
BaseRepresentation
bin10011100101110000…
…011100001111100000
32000021221012212101022
4103211300130033200
5321034321101430
613355123225012
71343153504234
oct234560341740
960257185338
1021034550240
118a14500a20
1240b0518168
131ca2b20c42
1410378685c4
158319c44e5
hex4e5c1c3e0

21034550240 has 96 divisors (see below), whose sum is σ = 54250269696. Its totient is φ = 7643496960.

The previous prime is 21034550219. The next prime is 21034550261. The reversal of 21034550240 is 4205543012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21034550219) and next prime (21034550261).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3134729 + ... + 3141431.

It is an arithmetic number, because the mean of its divisors is an integer number (565106976).

Almost surely, 221034550240 is an apocalyptic number.

21034550240 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 21034550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27125134848).

21034550240 is an abundant number, since it is smaller than the sum of its proper divisors (33215719456).

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

21034550240 is a wasteful number, since it uses less digits than its factorization.

21034550240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8512 (or 8504 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 21034550240 in words is "twenty-one billion, thirty-four million, five hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 1783 3566 6703 7132 8915 13406 14264 17830 19613 26812 28528 33515 35660 39226 53624 57056 67030 71320 73733 78452 98065 107248 134060 142640 147466 156904 196130 214496 268120 285280 294932 313808 368665 392260 536240 589864 627616 737330 784520 1072480 1179728 1474660 1569040 2359456 2949320 3138080 5898640 11797280 11951449 23902898 47805796 59757245 95611592 119514490 131465939 191223184 239028980 262931878 382446368 478057960 525863756 657329695 956115920 1051727512 1314659390 1912231840 2103455024 2629318780 4206910048 5258637560 10517275120 21034550240