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8678040336 = 24327211092
BaseRepresentation
bin10000001010100000…
…00110001100010000
3211101210021010101100
420011100012030100
5120233034242321
63553040304400
7425023061100
oct100520061420
924353233340
108678040336
113753589169
121822312100
13a83b64114
145c4767200
1535bcd1326
hex205406310

8678040336 has 135 divisors (see below), whose sum is σ = 28277094261. Its totient is φ = 2477204352.

The previous prime is 8678040307. The next prime is 8678040353. The reversal of 8678040336 is 6330408768.

The square root of 8678040336 is 93156.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 140280336 + 8537760000 = 11844^2 + 92400^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8678040291 and 8678040300.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7824550 + ... + 7825658.

Almost surely, 28678040336 is an apocalyptic number.

8678040336 is the 93156-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8678040336

8678040336 is an abundant number, since it is smaller than the sum of its proper divisors (19599053925).

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

8678040336 is a wasteful number, since it uses less digits than its factorization.

8678040336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2246 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The cubic root of 8678040336 is about 2054.9782113590.

The spelling of 8678040336 in words is "eight billion, six hundred seventy-eight million, forty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1109 1176 1764 2218 2352 3327 3528 4436 6654 7056 7763 8872 9981 13308 15526 17744 19962 23289 26616 31052 39924 46578 53232 54341 62104 69867 79848 93156 108682 124208 139734 159696 163023 186312 217364 279468 326046 372624 434728 489069 558936 652092 869456 978138 1117872 1229881 1304184 1956276 2459762 2608368 3689643 3912552 4919524 7379286 7825104 8609167 9839048 11068929 14758572 17218334 19678096 22137858 25827501 29517144 34436668 44275716 51655002 59034288 60264169 68873336 77482503 88551432 103310004 120528338 137746672 154965006 177102864 180792507 206620008 241056676 309930012 361585014 413240016 482113352 542377521 619860024 723170028 964226704 1084755042 1239720048 1446340056 2169510084 2892680112 4339020168 8678040336