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6989011440 = 24351710316631
BaseRepresentation
bin1101000001001001…
…11101100111110000
3200001002001120022120
412200210331213300
5103303141331230
63113302434240
7335123421435
oct64044754760
920032046276
106989011440
112a67129814
121430732980
13874c59438
144a42d9b8c
152ad898310
hex1a093d9f0

6989011440 has 160 divisors (see below), whose sum is σ = 23164517376. Its totient is φ = 1736970240.

The previous prime is 6989011399. The next prime is 6989011441. The reversal of 6989011440 is 441109896.

It is a junction number, because it is equal to n+sod(n) for n = 6989011392 and 6989011401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6989011441) 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, 411925 + ... + 428555.

Almost surely, 26989011440 is an apocalyptic number.

6989011440 is a gapful number since it is divisible by the number (60) 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 6989011440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11582258688).

6989011440 is an abundant number, since it is smaller than the sum of its proper divisors (16175505936).

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

6989011440 is a wasteful number, since it uses less digits than its factorization.

6989011440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16767 (or 16761 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 6989011440 is about 83600.3076549363. The cubic root of 6989011440 is about 1911.9296890632.

The spelling of 6989011440 in words is "six billion, nine hundred eighty-nine million, eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 103 120 136 170 204 206 240 255 272 309 340 408 412 510 515 618 680 816 824 1020 1030 1236 1360 1545 1648 1751 2040 2060 2472 3090 3502 4080 4120 4944 5253 6180 7004 8240 8755 10506 12360 14008 16631 17510 21012 24720 26265 28016 33262 35020 42024 49893 52530 66524 70040 83155 84048 99786 105060 133048 140080 166310 199572 210120 249465 266096 282727 332620 399144 420240 498930 565454 665240 798288 848181 997860 1130908 1330480 1413635 1696362 1712993 1995720 2261816 2827270 3392724 3425986 3991440 4240905 4523632 5138979 5654540 6785448 6851972 8481810 8564965 10277958 11309080 13570896 13703944 16963620 17129930 20555916 22618160 25694895 27407888 29120881 33927240 34259860 41111832 51389790 58241762 67854480 68519720 82223664 87362643 102779580 116483524 137039440 145604405 174725286 205559160 232967048 291208810 349450572 411118320 436813215 465934096 582417620 698901144 873626430 1164835240 1397802288 1747252860 2329670480 3494505720 6989011440