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2642774496 = 25343712127
BaseRepresentation
bin1001110110000101…
…1000100111100000
320211011211212001220
42131201120213200
520403022240441
61114123455040
7122330132625
oct23541304740
96734755056
102642774496
11113686065a
12619087480
1333169b5bb
141b0db834c
1510702e466
hex9d8589e0

2642774496 has 144 divisors (see below), whose sum is σ = 7256696832. Its totient is φ = 841639680.

The previous prime is 2642774473. The next prime is 2642774501. The reversal of 2642774496 is 6944772462.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20809185 + ... + 20809311.

It is an arithmetic number, because the mean of its divisors is an integer number (50393728).

Almost surely, 22642774496 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 2642774496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628348416).

2642774496 is an abundant number, since it is smaller than the sum of its proper divisors (4613922336).

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

2642774496 is a wasteful number, since it uses less digits than its factorization.

2642774496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 246 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 51.

The square root of 2642774496 is about 51407.9225022759. The cubic root of 2642774496 is about 1382.5686416830.

The spelling of 2642774496 in words is "two billion, six hundred forty-two million, seven hundred seventy-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 71 86 96 127 129 142 172 213 254 258 284 344 381 426 508 516 568 688 762 852 1016 1032 1136 1376 1524 1704 2032 2064 2272 3048 3053 3408 4064 4128 5041 5461 6096 6106 6816 9017 9159 10082 10922 12192 12212 15123 16383 18034 18318 20164 21844 24424 27051 30246 32766 36068 36636 40328 43688 48848 54102 60492 65532 72136 73272 80656 87376 97696 108204 120984 131064 144272 146544 161312 174752 216408 216763 241968 262128 288544 293088 387731 432816 433526 483936 524256 640207 650289 775462 865632 867052 1163193 1280414 1300578 1550924 1734104 1920621 2326386 2560828 2601156 3101848 3468208 3841242 4652772 5121656 5202312 6203696 6936416 7682484 9305544 10243312 10404624 12407392 15364968 18611088 20486624 20809248 27528901 30729936 37222176 55057802 61459872 82586703 110115604 165173406 220231208 330346812 440462416 660693624 880924832 1321387248 2642774496