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21450611105424 = 2432612442009461
BaseRepresentation
bin1001110000010010111000…
…00011100001111010010000
32210221122202222011211210200
410320021130003201322100
510302421322420333144
6113342135200255200
74342520065666104
oct470113403417220
983848688154720
1021450611105424
116920175830986
1224a5332311500
13bc7a26443c67
145423023d1904
15272ea634dc69
hex13825c0e1e90

21450611105424 has 60 divisors (see below), whose sum is σ = 61016048417532. Its totient is φ = 7032987244800.

The previous prime is 21450611105401. The next prime is 21450611105447. The reversal of 21450611105424 is 42450111605412.

21450611105424 is a `hidden beast` number, since 2 + 1 + 4 + 5 + 0 + 611 + 10 + 5 + 4 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (21450611105401) and next prime (21450611105447).

It can be written as a sum of positive squares in 2 ways, for example, as 5905191603600 + 15545419501824 = 2430060^2 + 3942768^2 .

It is a super-2 number, since 2×214506111054242 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1220995947 + ... + 1221013514.

Almost surely, 221450611105424 is an apocalyptic number.

21450611105424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21450611105424 is an abundant number, since it is smaller than the sum of its proper divisors (39565437312108).

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

21450611105424 is a wasteful number, since it uses less digits than its factorization.

21450611105424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442009536 (or 2442009527 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 21450611105424 in words is "twenty-one trillion, four hundred fifty billion, six hundred eleven million, one hundred five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 732 976 1098 1464 2196 2928 4392 8784 2442009461 4884018922 7326028383 9768037844 14652056766 19536075688 21978085149 29304113532 39072151376 43956170298 58608227064 87912340596 117216454128 148962577121 175824681192 297925154242 351649362384 446887731363 595850308484 893775462726 1191700616968 1340663194089 1787550925452 2383401233936 2681326388178 3575101850904 5362652776356 7150203701808 10725305552712 21450611105424