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68901996016 = 24721071635039
BaseRepresentation
bin100000000101011100…
…0010000010111110000
320120211220021001120101
41000022320100113300
52112102402333031
651353024522144
74656312205600
oct1001270202760
9216756231511
1068901996016
1127248420467
121142b180354
136660b15359
143498c76c00
151bd4021361
hex100ae105f0

68901996016 has 120 divisors (see below), whose sum is σ = 157737404160. Its totient is φ = 29068212096.

The previous prime is 68901995971. The next prime is 68901996041. The reversal of 68901996016 is 61069910986.

It is a super-3 number, since 3×689019960163 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13671225 + ... + 13676263.

It is an arithmetic number, because the mean of its divisors is an integer number (1314478368).

Almost surely, 268901996016 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 68901996016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78868702080).

68901996016 is an abundant number, since it is smaller than the sum of its proper divisors (88835408144).

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

68901996016 is a wasteful number, since it uses less digits than its factorization.

68901996016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5318 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 55.

The spelling of 68901996016 in words is "sixty-eight billion, nine hundred one million, nine hundred ninety-six thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 107 112 163 196 214 326 392 428 652 749 784 856 1141 1304 1498 1712 2282 2608 2996 4564 5039 5243 5992 7987 9128 10078 10486 11984 15974 17441 18256 20156 20972 31948 34882 35273 40312 41944 63896 69764 70546 80624 83888 122087 127792 139528 141092 244174 246911 279056 282184 488348 493822 539173 564368 821357 854609 976696 987644 1078346 1642714 1709218 1953392 1975288 2156692 3285428 3418436 3774211 3950576 4313384 5749499 6570856 6836872 7548422 8626768 11498998 13141712 13673744 15096844 22997996 26419477 30193688 40246493 45995992 52838954 60387376 80492986 87885199 91991984 105677908 160985972 175770398 211355816 321971944 351540796 422711632 615196393 643943888 703081592 1230392786 1406163184 2460785572 4306374751 4921571144 8612749502 9843142288 17225499004 34450998008 68901996016