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88989854472 = 23337121792663
BaseRepresentation
bin101001011100000110…
…1010110101100001000
322111200212002222222000
41102320031112230020
52424222400320342
6104514213231000
76300152165601
oct1227015265410
9274625088860
1088989854472
11348164a8882
12152b6632460
13851277222c
144442aacda8
1524ac84444c
hex14b8356b08

88989854472 has 128 divisors (see below), whose sum is σ = 250884864000. Its totient is φ = 29221093440.

The previous prime is 88989854449. The next prime is 88989854479. The reversal of 88989854472 is 27445898988.

88989854472 is a `hidden beast` number, since 8 + 8 + 9 + 8 + 9 + 8 + 544 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 88989854472.

It is not an unprimeable number, because it can be changed into a prime (88989854479) 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, 33415813 + ... + 33418475.

It is an arithmetic number, because the mean of its divisors is an integer number (1960038000).

Almost surely, 288989854472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88989854472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125442432000).

88989854472 is an abundant number, since it is smaller than the sum of its proper divisors (161895009528).

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

88989854472 is a wasteful number, since it uses less digits than its factorization.

88989854472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4928 (or 4918 counting only the distinct ones).

The product of its digits is 371589120, while the sum is 72.

The spelling of 88989854472 in words is "eighty-eight billion, nine hundred eighty-nine million, eight hundred fifty-four thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 852 1278 1704 1917 2179 2556 2663 3834 4358 5112 5326 6537 7668 7989 8716 10652 13074 15336 15978 17432 19611 21304 23967 26148 31956 39222 47934 52296 58833 63912 71901 78444 95868 117666 143802 154709 156888 189073 191736 235332 287604 309418 378146 464127 470664 567219 575208 618836 756292 928254 1134438 1237672 1392381 1512584 1701657 1856508 2268876 2784762 3403314 3713016 4177143 4537752 5104971 5569524 5802677 6806628 8354286 10209942 11139048 11605354 13613256 16708572 17408031 20419884 23210708 33417144 34816062 40839768 46421416 52224093 69632124 104448186 139264248 156672279 208896372 313344558 411990067 417792744 626689116 823980134 1235970201 1253378232 1647960268 2471940402 3295920536 3707910603 4943880804 7415821206 9887761608 11123731809 14831642412 22247463618 29663284824 44494927236 88989854472