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21634640360 = 23567101257311
BaseRepresentation
bin10100001001100001…
…100110100111101000
32001211202101121021022
4110021201212213220
5323301431442420
613534441232012
71364061260144
oct241141464750
961752347238
1021634640360
1191a2210573
124239492608
13206a24b858
141093436224
1586950dc25
hex5098669e8

21634640360 has 128 divisors (see below), whose sum is σ = 50248823040. Its totient is φ = 8380416000.

The previous prime is 21634640341. The next prime is 21634640369. The reversal of 21634640360 is 6304643612.

It is a self number, because there is not a number n which added to its sum of digits gives 21634640360.

It is not an unprimeable number, because it can be changed into a prime (21634640369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69564605 + ... + 69564915.

It is an arithmetic number, because the mean of its divisors is an integer number (392568930).

Almost surely, 221634640360 is an apocalyptic number.

21634640360 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 21634640360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25124411520).

21634640360 is an abundant number, since it is smaller than the sum of its proper divisors (28614182680).

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

21634640360 is a wasteful number, since it uses less digits than its factorization.

21634640360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The spelling of 21634640360 in words is "twenty-one billion, six hundred thirty-four million, six hundred forty thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 67 101 134 202 257 268 311 335 404 505 514 536 622 670 808 1010 1028 1244 1285 1340 1555 2020 2056 2488 2570 2680 3110 4040 5140 6220 6767 10280 12440 13534 17219 20837 25957 27068 31411 33835 34438 41674 51914 54136 62822 67670 68876 79927 83348 86095 103828 104185 125644 129785 135340 137752 157055 159854 166696 172190 207656 208370 251288 259570 270680 314110 319708 344380 399635 416740 519140 628220 639416 688760 799270 833480 1038280 1256440 1598540 1739119 2104537 3197080 3478238 4209074 5355109 6956476 8072627 8418148 8695595 10522685 10710218 13912952 16145254 16836296 17391190 21045370 21420436 26775545 32290508 34782380 40363135 42090740 42840872 53551090 64581016 69564760 80726270 84181480 107102180 161452540 214204360 322905080 540866009 1081732018 2163464036 2704330045 4326928072 5408660090 10817320180 21634640360