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993623260504931 = 74012311153172003
BaseRepresentation
bin1110000111101100011111000…
…1011110111010001101100011
311211022010110022102210110010122
43201323013301132322031203
52020214010414142124211
613441132120241350455
7416201624446633430
oct34173076136721543
94738113272713118
10993623260504931
11268665292939491
1293536a1763842b
133385736b3c8734
141375189dc64b87
1579d164ba866db
hex387b1f17ba363

993623260504931 has 16 divisors (see below), whose sum is σ = 1138893893165568. Its totient is φ = 849185579088000.

The previous prime is 993623260504907. The next prime is 993623260504939. The reversal of 993623260504931 is 139405062326399.

It is a happy number.

It is not a de Polignac number, because 993623260504931 - 218 = 993623260242787 is a prime.

It is a super-2 number, since 2×9936232605049312 (a number of 31 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (993623260504939) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70099025 + ... + 83072978.

It is an arithmetic number, because the mean of its divisors is an integer number (71180868322848).

Almost surely, 2993623260504931 is an apocalyptic number.

993623260504931 is a deficient number, since it is larger than the sum of its proper divisors (145270632660637).

993623260504931 is a wasteful number, since it uses less digits than its factorization.

993623260504931 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153174722.

The product of its (nonzero) digits is 56687040, while the sum is 62.

The spelling of 993623260504931 in words is "nine hundred ninety-three trillion, six hundred twenty-three billion, two hundred sixty million, five hundred four thousand, nine hundred thirty-one".

Divisors: 1 7 401 2311 2807 16177 926711 6486977 153172003 1072204021 61421973203 353980498933 429953812421 2477863492531 141946180072133 993623260504931