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2528698368 = 2133714699
BaseRepresentation
bin1001011010111000…
…1110000000000000
320112020012012001010
42112232032000000
520134321321433
61054530440520
7116443403310
oct22656160000
96466165033
102528698368
111088425569
125a6a33140
13313b69b31
1419dba1440
15ebee8e63
hex96b8e000

2528698368 has 112 divisors (see below), whose sum is σ = 7706563200. Its totient is φ = 722436096.

The previous prime is 2528698351. The next prime is 2528698433. The reversal of 2528698368 is 8638968252.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164683 + ... + 179381.

It is an arithmetic number, because the mean of its divisors is an integer number (68808600).

Almost surely, 22528698368 is an apocalyptic number.

2528698368 is a gapful number since it is divisible by the number (28) 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 2528698368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853281600).

2528698368 is an abundant number, since it is smaller than the sum of its proper divisors (5177864832).

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

2528698368 is an equidigital number, since it uses as much as digits as its factorization.

2528698368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14735 (or 14711 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 57.

The square root of 2528698368 is about 50286.1647772029. The cubic root of 2528698368 is about 1362.3823525835.

The spelling of 2528698368 in words is "two billion, five hundred twenty-eight million, six hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 8192 10752 12288 14336 14699 21504 24576 28672 29398 43008 44097 57344 58796 86016 88194 102893 117592 172032 176388 205786 235184 308679 352776 411572 470368 617358 705552 823144 940736 1234716 1411104 1646288 1881472 2469432 2822208 3292576 3762944 4938864 5644416 6585152 7525888 9877728 11288832 13170304 15051776 19755456 22577664 26340608 30103552 39510912 45155328 52681216 60207104 79021824 90310656 105362432 120414208 158043648 180621312 210724864 316087296 361242624 421449728 632174592 842899456 1264349184 2528698368