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2918889216 = 28331732441
BaseRepresentation
bin1010110111111010…
…1011011100000000
321112102101221021000
42231332223130000
521434213423331
61201345532000
7132222102045
oct25576533400
97472357230
102918889216
111268700741
12695644000
133769556a9
141d99311cc
151213c10e6
hexadfab700

2918889216 has 144 divisors (see below), whose sum is σ = 8685119520. Its totient is φ = 966942720.

The previous prime is 2918889203. The next prime is 2918889229. The reversal of 2918889216 is 6129888192.

It is an interprime number because it is at equal distance from previous prime (2918889203) and next prime (2918889229).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1194556 + ... + 1196996.

It is an arithmetic number, because the mean of its divisors is an integer number (60313330).

Almost surely, 22918889216 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 2918889216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4342559760).

2918889216 is an abundant number, since it is smaller than the sum of its proper divisors (5766230304).

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

2918889216 is a wasteful number, since it uses less digits than its factorization.

2918889216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2639 (or 2619 counting only the distinct ones).

The product of its digits is 995328, while the sum is 54.

The square root of 2918889216 is about 54026.7453767113. The cubic root of 2918889216 is about 1429.1326371635.

The spelling of 2918889216 in words is "two billion, nine hundred eighteen million, eight hundred eighty-nine thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 173 192 216 256 288 346 384 432 519 576 692 768 864 1038 1152 1384 1557 1728 2076 2304 2441 2768 3114 3456 4152 4671 4882 5536 6228 6912 7323 8304 9342 9764 11072 12456 14646 16608 18684 19528 21969 22144 24912 29292 33216 37368 39056 43938 44288 49824 58584 65907 66432 74736 78112 87876 99648 117168 131814 132864 149472 156224 175752 199296 234336 263628 298944 312448 351504 398592 422293 468672 527256 597888 624896 703008 844586 937344 1054512 1195776 1266879 1406016 1689172 1874688 2109024 2533758 2812032 3378344 3800637 4218048 5067516 5624064 6756688 7601274 8436096 10135032 11401911 13513376 15202548 16872192 20270064 22803822 27026752 30405096 40540128 45607644 54053504 60810192 81080256 91215288 108107008 121620384 162160512 182430576 243240768 324321024 364861152 486481536 729722304 972963072 1459444608 2918889216