Search a number
-
+
21616414654560 = 2535114094017927
BaseRepresentation
bin1001110101000111101101…
…01101111000000001100000
32211112111202002210211112220
410322203312231320001200
510313130404122421220
6113550235505551040
74360506622624455
oct472436655700140
984474662724486
1021616414654560
116984519596440
1225114a5645480
13c0a55ab6590b
1454a3509b782c
1527745c56b540
hex13a8f6b78060

21616414654560 has 96 divisors (see below), whose sum is σ = 74281861285632. Its totient is φ = 5240342945280.

The previous prime is 21616414654547. The next prime is 21616414654579. The reversal of 21616414654560 is 6545641461612.

It is a tau number, because it is divible by the number of its divisors (96).

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, 2047003684 + ... + 2047014243.

It is an arithmetic number, because the mean of its divisors is an integer number (773769388392).

Almost surely, 221616414654560 is an apocalyptic number.

21616414654560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21616414654560 is an abundant number, since it is smaller than the sum of its proper divisors (52665446631072).

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

21616414654560 is a wasteful number, since it uses less digits than its factorization.

21616414654560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4094017956 (or 4094017948 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

The spelling of 21616414654560 in words is "twenty-one trillion, six hundred sixteen billion, four hundred fourteen million, six hundred fifty-four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 4094017927 8188035854 12282053781 16376071708 20470089635 24564107562 32752143416 40940179270 45034197197 49128215124 61410268905 65504286832 81880358540 90068394394 98256430248 122820537810 131008573664 135102591591 163760717080 180136788788 196512860496 225170985985 245641075620 270205183182 327521434160 360273577576 393025720992 450341971970 491282151240 540410366364 655042868320 675512957955 720547155152 900683943940 982564302480 1080820732728 1351025915910 1441094310304 1801367887880 1965128604960 2161641465456 2702051831820 3602735775760 4323282930912 5404103663640 7205471551520 10808207327280 21616414654560