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68649443966016 = 26323452292
BaseRepresentation
bin11111001101111101100011…
…01110001011110001000000
3100000001211012210011200201100
433212332301232023301000
532444223030123403031
6402001041424334400
720313521134533264
oct1746766156136100
9300054183150640
1068649443966016
111a96807a482371
12784887ba74400
132c3c7cb8c8a74
1412d4917baa0a4
157e0ae24e4de6
hex3e6fb1b8bc40

68649443966016 has 63 divisors (see below), whose sum is σ = 196771806064821. Its totient is φ = 22883081704704.

The previous prime is 68649443965939. The next prime is 68649443966017. The reversal of 68649443966016 is 61066934494686.

It is a happy number.

The square root of 68649443966016 is 8285496.

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

68649443966016 is a `hidden beast` number, since 6 + 8 + 6 + 4 + 9 + 4 + 4 + 3 + 9 + 6 + 601 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55865100695616 + 12784343270400 = 7474296^2 + 3575520^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (68649443966017) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 198679290 + ... + 199024518.

Almost surely, 268649443966016 is an apocalyptic number.

68649443966016 is the 8285496-th square number.

It is an amenable number.

68649443966016 is an abundant number, since it is smaller than the sum of its proper divisors (128122362098805).

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

68649443966016 is an frugal number, since it uses more digits than its factorization.

68649443966016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690476 (or 345234 counting only the distinct ones).

The product of its (nonzero) digits is 967458816, while the sum is 72.

The spelling of 68649443966016 in words is "sixty-eight trillion, six hundred forty-nine billion, four hundred forty-three million, nine hundred sixty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 345229 690458 1035687 1380916 2071374 2761832 3107061 4142748 5523664 6214122 8285496 11047328 12428244 16570992 22094656 24856488 33141984 49712976 66283968 99425952 198851904 119183062441 238366124882 357549187323 476732249764 715098374646 953464499528 1072647561969 1430196749292 1906928999056 2145295123938 2860393498584 3813857998112 4290590247876 5720786997168 7627715996224 8581180495752 11441573994336 17162360991504 22883147988672 34324721983008 68649443966016