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21660365364040 = 23513163642139799
BaseRepresentation
bin1001110110011001100100…
…11000100001101101001000
32211200201012002211012121201
410323030302120201231020
510314340412013122130
6114022345014113544
74363624021530634
oct473146230415510
984621162735551
1021660365364040
1169a1122621a37
122519b1064b8b4
13c1174356c3a0
1454c51db47dc4
15278680cddbca
hex13b332621b48

21660365364040 has 128 divisors (see below), whose sum is σ = 52816274784000. Its totient is φ = 7947170288640.

The previous prime is 21660365364019. The next prime is 21660365364047. The reversal of 21660365364040 is 4046356306612.

It is not an unprimeable number, because it can be changed into a prime (21660365364047) 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, 544224061 + ... + 544263859.

It is an arithmetic number, because the mean of its divisors is an integer number (412627146750).

Almost surely, 221660365364040 is an apocalyptic number.

21660365364040 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 21660365364040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26408137392000).

21660365364040 is an abundant number, since it is smaller than the sum of its proper divisors (31155909419960).

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

21660365364040 is a wasteful number, since it uses less digits than its factorization.

21660365364040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46407 (or 46403 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 46.

The spelling of 21660365364040 in words is "twenty-one trillion, six hundred sixty billion, three hundred sixty-five million, three hundred sixty-four thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 163 260 326 520 652 815 1304 1630 2119 3260 4238 6421 6520 8476 10595 12842 16952 21190 25684 32105 39799 42380 51368 64210 79598 83473 84760 128420 159196 166946 198995 256840 318392 333892 397990 417365 517387 667784 795980 834730 1034774 1046623 1591960 1669460 2069548 2093246 2586935 3338920 4139096 4186492 5173870 5233115 6487237 8372984 10347740 10466230 12974474 13606099 20695480 20932460 25948948 27212198 32436185 41864920 51897896 54424396 64872370 68030495 84334081 108848792 129744740 136060990 168668162 255549379 259489480 272121980 337336324 421670405 511098758 544243960 674672648 843340810 1022197516 1277746895 1686681620 2044395032 2555493790 3322141927 3373363240 5110987580 6644283854 10221975160 13288567708 16610709635 26577135416 33221419270 41654548777 66442838540 83309097554 132885677080 166618195108 208272743885 333236390216 416545487770 541509134101 833090975540 1083018268202 1666181951080 2166036536404 2707545670505 4332073072808 5415091341010 10830182682020 21660365364040