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997633333333 = 71373923416337
BaseRepresentation
bin11101000010001111001…
…01001001100001010101
310112101001210010022011001
432201013211021201111
5112321123113131313
62042150104343301
7132035166263140
oct16410745114125
93471053108131
10997633333333
1135510401022a
12141421474b31
13730cbb81170
14363dddc3057
151ae3dac6add
hexe847949855

997633333333 has 32 divisors (see below), whose sum is σ = 1230237236480. Its totient is φ = 787807088640.

The previous prime is 997633333327. The next prime is 997633333343. The reversal of 997633333333 is 333333336799.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-997633333333 is a prime.

It is a super-2 number, since 2×9976333333332 (a number of 25 digits) contains 22 as substring.

997633333333 is a modest number, since divided by 3333333 gives 99763 as remainder.

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (997633333343) 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, 157426741 + ... + 157433077.

It is an arithmetic number, because the mean of its divisors is an integer number (38444913640).

Almost surely, 2997633333333 is an apocalyptic number.

997633333333 is the 576667-th octagonal number.

It is an amenable number.

997633333333 is a deficient number, since it is larger than the sum of its proper divisors (232603903147).

997633333333 is a wasteful number, since it uses less digits than its factorization.

997633333333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9437.

The product of its digits is 22320522, while the sum is 55.

The spelling of 997633333333 in words is "nine hundred ninety-seven billion, six hundred thirty-three million, three hundred thirty-three thousand, three hundred thirty-three".

Divisors: 1 7 13 91 739 2341 5173 6337 9607 16387 30433 44359 67249 82381 213031 576667 1729999 4683043 12109993 14834917 22489987 32781301 60879559 103844419 157429909 192853921 426156913 1349977447 10963003663 76741025641 142519047619 997633333333