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102673648344 = 23353293275489
BaseRepresentation
bin101111110011111010…
…0111000101011011000
3100211000111120202021110
41133213310320223120
53140233423221334
6115100112340320
710263230416431
oct1374764705330
9324014522243
10102673648344
113a5a8663733
1217a952446a0
1398b36ca997
144d80194488
152a0dd16ae9
hex17e7d38ad8

102673648344 has 64 divisors (see below), whose sum is σ = 262420754400. Its totient is φ = 33464078336.

The previous prime is 102673648331. The next prime is 102673648361. The reversal of 102673648344 is 443846376201.

It is a junction number, because it is equal to n+sod(n) for n = 102673648293 and 102673648302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234952 + ... + 510440.

Almost surely, 2102673648344 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 102673648344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131210377200).

102673648344 is an abundant number, since it is smaller than the sum of its proper divisors (159747106056).

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

102673648344 is a wasteful number, since it uses less digits than its factorization.

102673648344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275844 (or 275840 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 102673648344 in words is "one hundred two billion, six hundred seventy-three million, six hundred forty-eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 53 106 159 212 293 318 424 586 636 879 1172 1272 1758 2344 3516 7032 15529 31058 46587 62116 93174 124232 186348 275489 372696 550978 826467 1101956 1652934 2203912 3305868 6611736 14600917 29201834 43802751 58403668 80718277 87605502 116807336 161436554 175211004 242154831 322873108 350422008 484309662 645746216 968619324 1937238648 4278068681 8556137362 12834206043 17112274724 25668412086 34224549448 51336824172 102673648344