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8680351416 = 23311314722567
BaseRepresentation
bin10000001010110001…
…11010011010111000
3211101221121112120220
420011120322122320
5120234132221131
63553202020040
7425051524662
oct100530723270
924357545526
108680351416
113754917550
121823047620
13a84493019
145c4ba9532
1535c0dae96
hex20563a6b8

8680351416 has 128 divisors (see below), whose sum is σ = 24958402560. Its totient is φ = 2491286400.

The previous prime is 8680351411. The next prime is 8680351429. The reversal of 8680351416 is 6141530868.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8680351411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373365 + ... + 395931.

It is an arithmetic number, because the mean of its divisors is an integer number (194987520).

Almost surely, 28680351416 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 8680351416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12479201280).

8680351416 is an abundant number, since it is smaller than the sum of its proper divisors (16278051144).

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

8680351416 is a wasteful number, since it uses less digits than its factorization.

8680351416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22665 (or 22661 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 8680351416 is about 93168.4035282348. The cubic root of 8680351416 is about 2055.1606180365.

The spelling of 8680351416 in words is "eight billion, six hundred eighty million, three hundred fifty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 47 62 66 88 93 94 124 132 141 186 188 248 264 282 341 372 376 517 564 682 744 1023 1034 1128 1364 1457 1551 2046 2068 2728 2914 3102 4092 4136 4371 5828 6204 8184 8742 11656 12408 16027 17484 22567 32054 34968 45134 48081 64108 67701 90268 96162 128216 135402 180536 192324 248237 270804 384648 496474 541608 699577 744711 992948 1060649 1399154 1489422 1985896 2098731 2121298 2798308 2978844 3181947 4197462 4242596 5596616 5957688 6363894 7695347 8394924 8485192 11667139 12727788 15390694 16789848 23086041 23334278 25455576 30781388 32880119 35001417 46172082 46668556 61562776 65760238 70002834 92344164 93337112 98640357 131520476 140005668 184688328 197280714 263040952 280011336 361681309 394561428 723362618 789122856 1085043927 1446725236 2170087854 2893450472 4340175708 8680351416