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83029552344 = 23327337941681
BaseRepresentation
bin100110101010011110…
…0100110110011011000
321221022110202021112100
41031110330212303120
52330021031133334
6102050535243400
75666356356504
oct1152474466330
9257273667470
1083029552344
1132238021652
1214112519560
137aa299563b
144039275304
15225e44dc99
hex1354f26cd8

83029552344 has 96 divisors (see below), whose sum is σ = 228559078800. Its totient is φ = 27224709120.

The previous prime is 83029552337. The next prime is 83029552393. The reversal of 83029552344 is 44325592038.

83029552344 is a `hidden beast` number, since 8 + 30 + 2 + 95 + 523 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 83029552344.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1971184 + ... + 2012864.

Almost surely, 283029552344 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 83029552344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114279539400).

83029552344 is an abundant number, since it is smaller than the sum of its proper divisors (145529526456).

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

83029552344 is a wasteful number, since it uses less digits than its factorization.

83029552344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42145 (or 42138 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 83029552344 in words is "eighty-three billion, twenty-nine million, five hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 379 438 584 657 758 876 1137 1314 1516 1752 2274 2628 3032 3411 4548 5256 6822 9096 13644 27288 27667 41681 55334 83001 83362 110668 125043 166002 166724 221336 249003 250086 332004 333448 375129 498006 500172 664008 750258 996012 1000344 1500516 1992024 3001032 3042713 6085426 9128139 12170852 15797099 18256278 24341704 27384417 31594198 36512556 47391297 54768834 63188396 73025112 94782594 109537668 126376792 142173891 189565188 219075336 284347782 379130376 568695564 1137391128 1153188227 2306376454 3459564681 4612752908 6919129362 9225505816 10378694043 13838258724 20757388086 27676517448 41514776172 83029552344