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84371643520 = 2753133712619
BaseRepresentation
bin100111010010011110…
…0010001110010000000
322001210000010120111221
41032210330101302000
52340243120043040
6102432041044424
76044544064663
oct1164474216200
9261700116457
1084371643520
113286665860a
1214427a86714
137c57a49c28
1441255d16da
1522dc1a574a
hex13a4f11c80

84371643520 has 128 divisors (see below), whose sum is σ = 208841817600. Its totient is φ = 32560496640.

The previous prime is 84371643469. The next prime is 84371643527. The reversal of 84371643520 is 2534617348.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (84371643527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6679771 + ... + 6692389.

It is an arithmetic number, because the mean of its divisors is an integer number (1631576700).

Almost surely, 284371643520 is an apocalyptic number.

84371643520 is a gapful number since it is divisible by the number (80) 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 84371643520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104420908800).

84371643520 is an abundant number, since it is smaller than the sum of its proper divisors (124470174080).

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

84371643520 is a wasteful number, since it uses less digits than its factorization.

84371643520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13006 (or 12994 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 43.

The spelling of 84371643520 in words is "eighty-four billion, three hundred seventy-one million, six hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 337 496 620 640 674 992 1240 1348 1685 1984 2480 2696 3370 3968 4960 5392 6740 9920 10447 10784 12619 13480 19840 20894 21568 25238 26960 41788 43136 50476 52235 53920 63095 83576 100952 104470 107840 126190 167152 201904 208940 215680 252380 334304 391189 403808 417880 504760 668608 782378 807616 835760 1009520 1337216 1564756 1615232 1671520 1955945 2019040 3129512 3343040 3911890 4038080 4252603 6259024 6686080 7823780 8076160 8505206 12518048 15647560 17010412 21263015 25036096 31295120 34020824 42526030 50072192 62590240 68041648 85052060 125180480 131830693 136083296 170104120 250360960 263661386 272166592 340208240 527322772 544333184 659153465 680416480 1054645544 1318306930 1360832960 2109291088 2636613860 2721665920 4218582176 5273227720 8437164352 10546455440 16874328704 21092910880 42185821760 84371643520