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1664413740 = 22325111276619
BaseRepresentation
bin110001100110100…
…1111000000101100
311021222212222102100
41203031033000230
511402042214430
6433054055100
756150166123
oct14315170054
94258788370
101664413740
11784577750
123a54aa490
13206a99a02
1411b0a0aba
159b1c4960
hex6334f02c

1664413740 has 144 divisors (see below), whose sum is σ = 5551902720. Its totient is φ = 400256640.

The previous prime is 1664413739. The next prime is 1664413741. The reversal of 1664413740 is 473144661.

1664413740 is a `hidden beast` number, since 1 + 6 + 644 + 1 + 3 + 7 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1664413739) and next prime (1664413741).

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

It is a junction number, because it is equal to n+sod(n) for n = 1664413695 and 1664413704.

It is not an unprimeable number, because it can be changed into a prime (1664413741) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248151 + ... + 254769.

It is an arithmetic number, because the mean of its divisors is an integer number (38554880).

Almost surely, 21664413740 is an apocalyptic number.

1664413740 is a gapful number since it is divisible by the number (10) 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 1664413740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775951360).

1664413740 is an abundant number, since it is smaller than the sum of its proper divisors (3887488980).

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

1664413740 is a wasteful number, since it uses less digits than its factorization.

1664413740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6772 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1664413740 is about 40797.2271116555. The cubic root of 1664413740 is about 1185.0966326154.

The spelling of 1664413740 in words is "one billion, six hundred sixty-four million, four hundred thirteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 127 132 165 180 198 220 254 330 381 396 495 508 635 660 762 990 1143 1270 1397 1524 1905 1980 2286 2540 2794 3810 4191 4572 5588 5715 6619 6985 7620 8382 11430 12573 13238 13970 16764 19857 20955 22860 25146 26476 27940 33095 39714 41910 50292 59571 62865 66190 72809 79428 83820 99285 119142 125730 132380 145618 198570 218427 238284 251460 291236 297855 364045 397140 436854 595710 655281 728090 840613 873708 1092135 1191420 1310562 1456180 1681226 2184270 2521839 2621124 3276405 3362452 4203065 4368540 5043678 6552810 7565517 8406130 9246743 10087356 12609195 13105620 15131034 16812260 18493486 25218390 27740229 30262068 36986972 37827585 46233715 50436780 55480458 75655170 83220687 92467430 110960916 138701145 151310340 166441374 184934860 277402290 332882748 416103435 554804580 832206870 1664413740