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2694542816 = 257311732243
BaseRepresentation
bin1010000010011011…
…0111010111100000
320221210020221212002
42200212313113200
521004300332231
61123213223132
7123526143650
oct24046672740
96853227762
102694542816
111162aa9999
12632491aa8
1333c325844
141b7c12360
1510b8580cb
hexa09b75e0

2694542816 has 96 divisors (see below), whose sum is σ = 6297274368. Its totient is φ = 1110597120.

The previous prime is 2694542771. The next prime is 2694542821. The reversal of 2694542816 is 6182454962.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1200191 + ... + 1202433.

It is an arithmetic number, because the mean of its divisors is an integer number (65596608).

Almost surely, 22694542816 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 2694542816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3148637184).

2694542816 is an abundant number, since it is smaller than the sum of its proper divisors (3602731552).

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

2694542816 is a wasteful number, since it uses less digits than its factorization.

2694542816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2464 (or 2456 counting only the distinct ones).

The product of its digits is 829440, while the sum is 47.

The square root of 2694542816 is about 51908.9858887650. The cubic root of 2694542816 is about 1391.5378690098.

The spelling of 2694542816 in words is "two billion, six hundred ninety-four million, five hundred forty-two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 173 217 224 248 346 434 496 692 868 992 1211 1384 1736 2243 2422 2768 3472 4486 4844 5363 5536 6944 8972 9688 10726 15701 17944 19376 21452 31402 35888 37541 38752 42904 62804 69533 71776 75082 85808 125608 139066 150164 171616 251216 278132 300328 388039 486731 502432 556264 600656 776078 973462 1112528 1201312 1552156 1946924 2225056 2716273 3104312 3893848 5432546 6208624 7787696 10865092 12029209 12417248 15575392 21730184 24058418 43460368 48116836 84204463 86920736 96233672 168408926 192467344 336817852 384934688 673635704 1347271408 2694542816