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21451514304 = 2631197104711
BaseRepresentation
bin10011111110100111…
…000010000111000000
32001100222210211112210
4103332213002013000
5322413041424204
613504340222120
71356405602013
oct237647020700
961328724483
1021451514304
119108903220
1241a809a940
13203b321b3c
141076da737a
158583d9389
hex4fe9c21c0

21451514304 has 112 divisors (see below), whose sum is σ = 62555786496. Its totient is φ = 6433382400.

The previous prime is 21451514269. The next prime is 21451514317. The reversal of 21451514304 is 40341515412.

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, 152509 + ... + 257219.

It is an arithmetic number, because the mean of its divisors is an integer number (558533808).

Almost surely, 221451514304 is an apocalyptic number.

21451514304 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 21451514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31277893248).

21451514304 is an abundant number, since it is smaller than the sum of its proper divisors (41104272192).

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

21451514304 is a wasteful number, since it uses less digits than its factorization.

21451514304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104834 (or 104824 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 21451514304 in words is "twenty-one billion, four hundred fifty-one million, five hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 97 132 176 192 194 264 291 352 388 528 582 704 776 1056 1067 1164 1552 2112 2134 2328 3104 3201 4268 4656 6208 6402 8536 9312 12804 17072 18624 25608 34144 51216 68288 102432 104711 204864 209422 314133 418844 628266 837688 1151821 1256532 1675376 2303642 2513064 3350752 3455463 4607284 5026128 6701504 6910926 9214568 10052256 10156967 13821852 18429136 20104512 20313934 27643704 30470901 36858272 40627868 55287408 60941802 73716544 81255736 110574816 111726637 121883604 162511472 221149632 223453274 243767208 325022944 335179911 446906548 487534416 650045888 670359822 893813096 975068832 1340719644 1787626192 1950137664 2681439288 3575252384 5362878576 7150504768 10725757152 21451514304