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8681665744 = 241923732233
BaseRepresentation
bin10000001010111011…
…11011010011010000
3211102001002022111201
420011131323103100
5120240001300434
63553250120544
7425065640563
oct100535732320
924361068451
108681665744
113755634a74
121823580154
13a8483332b
145c502c4da
1535c29a614
hex20577b4d0

8681665744 has 120 divisors (see below), whose sum is σ = 18812813760. Its totient is φ = 3863033856.

The previous prime is 8681665709. The next prime is 8681665777. The reversal of 8681665744 is 4475661868.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37260252 + ... + 37260484.

It is an arithmetic number, because the mean of its divisors is an integer number (156773448).

Almost surely, 28681665744 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 8681665744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9406406880).

8681665744 is an abundant number, since it is smaller than the sum of its proper divisors (10131148016).

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

8681665744 is a wasteful number, since it uses less digits than its factorization.

8681665744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 350 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 55.

The square root of 8681665744 is about 93175.4567684001. The cubic root of 8681665744 is about 2055.2643395986.

The spelling of 8681665744 in words is "eight billion, six hundred eighty-one million, six hundred sixty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 19 23 38 46 73 76 92 146 152 184 233 292 304 368 437 466 584 874 932 1168 1387 1679 1748 1864 2774 3358 3496 3728 4427 5329 5359 5548 6716 6992 8854 10658 10718 11096 13432 17009 17708 21316 21436 22192 26864 31901 34018 35416 42632 42872 63802 68036 70832 85264 85744 101251 101821 122567 127604 136072 202502 203642 245134 255208 272144 323171 391207 405004 407284 490268 510416 646342 782414 810008 814568 980536 1241657 1292684 1564828 1620016 1629136 1961072 2328773 2483314 2585368 3129656 4657546 4966628 5170736 6259312 7432933 9315092 9933256 14865866 18630184 19866512 23591483 28558111 29731732 37260368 47182966 57116222 59463464 94365932 114232444 118926928 188731864 228464888 377463728 456929776 542604109 1085208218 2170416436 4340832872 8681665744