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8672042736 = 243472136559
BaseRepresentation
bin10000001001110010…
…01101111011110000
3211101100222102020000
420010321031323300
5120230020331421
63552303550000
7424621101300
oct100471157360
924340872200
108672042736
113750162075
1218202bb300
13a82844246
145c3a45600
1535b4e9226
hex204e4def0

8672042736 has 150 divisors (see below), whose sum is σ = 29197483920. Its totient is φ = 2477708352.

The previous prime is 8672042707. The next prime is 8672042761. The reversal of 8672042736 is 6372402768.

It is a junction number, because it is equal to n+sod(n) for n = 8672042691 and 8672042700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 4776 + ... + 131783.

Almost surely, 28672042736 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 8672042736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14598741960).

8672042736 is an abundant number, since it is smaller than the sum of its proper divisors (20525441184).

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

8672042736 is a wasteful number, since it uses less digits than its factorization.

8672042736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136593 (or 136571 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 8672042736 is about 93123.8032728475. The cubic root of 8672042736 is about 2054.5046874878.

The spelling of 8672042736 in words is "eight billion, six hundred seventy-two million, forty-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 84 98 108 112 126 144 147 162 168 189 196 216 252 294 324 336 378 392 432 441 504 567 588 648 756 784 882 1008 1134 1176 1296 1323 1512 1764 2268 2352 2646 3024 3528 3969 4536 5292 7056 7938 9072 10584 15876 21168 31752 63504 136559 273118 409677 546236 819354 955913 1092472 1229031 1638708 1911826 2184944 2458062 2867739 3277416 3687093 3823652 4916124 5735478 6554832 6691391 7374186 7647304 8603217 9832248 11061279 11470956 13382782 14748372 15294608 17206434 19664496 20074173 22122558 22941912 25809651 26765564 29496744 34412868 40148346 44245116 45883824 51619302 53531128 58993488 60222519 68825736 77428953 80296692 88490232 103238604 107062256 120445038 137651472 154857906 160593384 176980464 180667557 206477208 240890076 309715812 321186768 361335114 412954416 481780152 542002671 619431624 722670228 963560304 1084005342 1238863248 1445340456 2168010684 2890680912 4336021368 8672042736