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2688054516 = 22327311632111
BaseRepresentation
bin1010000000111000…
…0111010011110100
320221100001022120200
42200032013103310
521001120221031
61122422200500
7123420041430
oct24016072364
96840038520
102688054516
11115a378164
12630283130
1333ab93504
141b70039c0
1510aec58e6
hexa03874f4

2688054516 has 144 divisors (see below), whose sum is σ = 8068988928. Its totient is φ = 738331200.

The previous prime is 2688054497. The next prime is 2688054527. The reversal of 2688054516 is 6154508862.

2688054516 is a `hidden beast` number, since 2 + 6 + 8 + 80 + 54 + 516 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272301 + ... + 1274411.

Almost surely, 22688054516 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 2688054516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034494464).

2688054516 is an abundant number, since it is smaller than the sum of its proper divisors (5380934412).

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

2688054516 is a wasteful number, since it uses less digits than its factorization.

2688054516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2322 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 2688054516 is about 51846.4513346863. The cubic root of 2688054516 is about 1390.4200576464.

The spelling of 2688054516 in words is "two billion, six hundred eighty-eight million, fifty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 163 186 217 252 279 326 372 434 489 558 651 652 868 978 1116 1141 1302 1467 1953 1956 2111 2282 2604 2934 3423 3906 4222 4564 5053 5868 6333 6846 7812 8444 10106 10269 12666 13692 14777 15159 18999 20212 20538 25332 29554 30318 35371 37998 41076 44331 45477 59108 60636 65441 70742 75996 88662 90954 106113 130882 132993 141484 177324 181908 196323 212226 261764 265986 318339 344093 392646 424452 458087 531972 588969 636678 688186 785292 916174 1032279 1177938 1273356 1374261 1376372 1832348 2064558 2355876 2408651 2748522 3096837 4122783 4129116 4817302 5497044 6193674 7225953 8245566 9634604 10666883 12387348 14451906 16491132 21333766 21677859 28903812 32000649 42667532 43355718 64001298 74668181 86711436 96001947 128002596 149336362 192003894 224004543 298672724 384007788 448009086 672013629 896018172 1344027258 2688054516