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2876756064 = 253713329299
BaseRepresentation
bin1010101101110111…
…1101000001100000
321102111010100102220
42223131331001200
521342422143224
61153242511040
7131201010630
oct25335750140
97374110386
102876756064
111246943456
12683505480
1336acc2c30
141d40c46c0
1511c84c279
hexab77d060

2876756064 has 96 divisors (see below), whose sum is σ = 9294163200. Its totient is φ = 758702592.

The previous prime is 2876756053. The next prime is 2876756117. The reversal of 2876756064 is 4606576782.

2876756064 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2876755998 and 2876756016.

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, 155914 + ... + 173385.

It is an arithmetic number, because the mean of its divisors is an integer number (96814200).

Almost surely, 22876756064 is an apocalyptic number.

2876756064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2876756064 is an abundant number, since it is smaller than the sum of its proper divisors (6417407136).

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

2876756064 is a wasteful number, since it uses less digits than its factorization.

2876756064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329332 (or 329324 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The square root of 2876756064 is about 53635.3993552765. The cubic root of 2876756064 is about 1422.2229389681. Note that the first 3 decimals are identical.

The spelling of 2876756064 in words is "two billion, eight hundred seventy-six million, seven hundred fifty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 329299 658598 987897 1317196 1975794 2305093 2634392 3951588 4280887 4610186 5268784 6915279 7903176 8561774 9220372 10537568 12842661 13830558 15806352 17123548 18440744 25685322 27661116 29966209 31612704 34247096 36881488 51370644 55322232 59932418 68494192 73762976 89898627 102741288 110644464 119864836 136988384 179797254 205482576 221288928 239729672 359594508 410965152 479459344 719189016 958918688 1438378032 2876756064