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8921640375 = 3353171311187
BaseRepresentation
bin10000100111100010…
…10110110110110111
3212000202122021211000
420103301112312313
5121232414443000
64033141414343
7434041456224
oct102361266667
925022567730
108921640375
11386904050a
12188ba0a3b3
13ac247575b
14608c5894b
1537339e000
hex213c56db7

8921640375 has 128 divisors (see below), whose sum is σ = 17613573120. Its totient is φ = 4440384000.

The previous prime is 8921640367. The next prime is 8921640379. The reversal of 8921640375 is 5730461298.

8921640375 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 8921640375 - 23 = 8921640367 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

8921640375 is strictly pandigital in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 8921640375.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8921640379) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7515532 + ... + 7516718.

It is an arithmetic number, because the mean of its divisors is an integer number (137606040).

It is a 1-persistent number, because it is pandigital, but 2⋅8921640375 = 17843280750 is not.

Almost surely, 28921640375 is an apocalyptic number.

8921640375 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8921640375 is a deficient number, since it is larger than the sum of its proper divisors (8691932745).

8921640375 is a wasteful number, since it uses less digits than its factorization.

8921640375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1359 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 8921640375 is about 94454.4354437630. The cubic root of 8921640375 is about 2074.0293810488.

The spelling of 8921640375 in words is "eight billion, nine hundred twenty-one million, six hundred forty thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 27 45 51 75 85 125 131 135 153 225 255 375 393 425 459 655 675 765 1125 1179 1187 1275 1965 2125 2227 2295 3275 3375 3537 3561 3825 5895 5935 6375 6681 9825 10683 11135 11475 16375 17685 17805 19125 20043 20179 29475 29675 32049 33405 49125 53415 55675 57375 60129 60537 88425 89025 100215 100895 147375 148375 155497 160245 167025 181611 267075 278375 300645 302685 442125 445125 466491 501075 504475 544833 777485 801225 835125 908055 1335375 1399473 1503225 1513425 2332455 2505375 2522375 2643449 2724165 3887425 4006125 4198419 4540275 6997365 7516125 7567125 7930347 11662275 13217245 13620825 19437125 20992095 22701375 23791041 34986825 39651735 58311375 66086225 68104125 71373123 104960475 118955205 174934125 198258675 330431125 356865615 524802375 594776025 991293375 1784328075 2973880125 8921640375