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4297536768 = 28372114199
BaseRepresentation
bin1000000000010011…
…10011010100000000
3102002111120111011110
410000021303110000
532300132134033
61550235043320
7211332313500
oct40011632400
912074514143
104297536768
111905935a88
129bb2a0540
13536469285
142caa85a00
151a2449363
hex100273500

4297536768 has 108 divisors (see below), whose sum is σ = 13305213600. Its totient is φ = 1227856896.

The previous prime is 4297536731. The next prime is 4297536779. The reversal of 4297536768 is 8676357924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19468 + ... + 94731.

Almost surely, 24297536768 is an apocalyptic number.

4297536768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4297536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6652606800).

4297536768 is an abundant number, since it is smaller than the sum of its proper divisors (9007676832).

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

4297536768 is a wasteful number, since it uses less digits than its factorization.

4297536768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114232 (or 114211 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 57.

The square root of 4297536768 is about 65555.6005845420. The cubic root of 4297536768 is about 1625.8227651091.

The spelling of 4297536768 in words is "four billion, two hundred ninety-seven million, five hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5376 6272 9408 12544 18816 37632 114199 228398 342597 456796 685194 799393 913592 1370388 1598786 1827184 2398179 2740776 3197572 3654368 4796358 5481552 5595751 6395144 7308736 9592716 10963104 11191502 12790288 14617472 16787253 19185432 21926208 22383004 25580576 29234944 33574506 38370864 43852416 44766008 51161152 67149012 76741728 87704832 89532016 102322304 134298024 153483456 179064032 204644608 268596048 306966912 358128064 537192096 613933824 716256128 1074384192 1432512256 2148768384 4297536768