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21018387264 = 263717390397
BaseRepresentation
bin10011100100110010…
…110010001101000000
32000020210210200221120
4103210302302031000
5321021201343024
613353344552240
71342566225660
oct234462621500
960223720846
1021018387264
118a06371496
1240a7022680
131c9c682154
14103565c1a0
15830380479
hex4e4cb2340

21018387264 has 112 divisors (see below), whose sum is σ = 63923680128. Its totient is φ = 5970475008.

The previous prime is 21018387259. The next prime is 21018387281. The reversal of 21018387264 is 46278381012.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 187314 + ... + 277710.

It is an arithmetic number, because the mean of its divisors is an integer number (570747144).

Almost surely, 221018387264 is an apocalyptic number.

21018387264 is a gapful number since it is divisible by the number (24) 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 21018387264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31961840064).

21018387264 is an abundant number, since it is smaller than the sum of its proper divisors (42905292864).

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

21018387264 is a wasteful number, since it uses less digits than its factorization.

21018387264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90592 (or 90582 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 21018387264 in words is "twenty-one billion, eighteen million, three hundred eighty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 173 192 224 336 346 448 519 672 692 1038 1211 1344 1384 2076 2422 2768 3633 4152 4844 5536 7266 8304 9688 11072 14532 16608 19376 29064 33216 38752 58128 77504 90397 116256 180794 232512 271191 361588 542382 632779 723176 1084764 1265558 1446352 1898337 2169528 2531116 2892704 3796674 4339056 5062232 5785408 7593348 8678112 10124464 15186696 15638681 17356224 20248928 30373392 31277362 40497856 46916043 60746784 62554724 93832086 109470767 121493568 125109448 187664172 218941534 250218896 328412301 375328344 437883068 500437792 656824602 750656688 875766136 1000875584 1313649204 1501313376 1751532272 2627298408 3002626752 3503064544 5254596816 7006129088 10509193632 21018387264