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83030008640 = 265259468777
BaseRepresentation
bin100110101010011111…
…0010110001101000000
321221022111121110110012
41031110332112031000
52330021140234030
6102050553124052
75666363300015
oct1152476261500
9257274543405
1083030008640
1132238303457
12141126b9628
137aa2ac5237
14403935370c
15225e4de095
hex1354f96340

83030008640 has 28 divisors (see below), whose sum is σ = 197715208836. Its totient is φ = 33212003328.

The previous prime is 83030008639. The next prime is 83030008643. The reversal of 83030008640 is 4680003038.

It can be written as a sum of positive squares in 2 ways, for example, as 64418500864 + 18611507776 = 253808^2 + 136424^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 83030008597 and 83030008606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83030008643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129734069 + ... + 129734708.

Almost surely, 283030008640 is an apocalyptic number.

83030008640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

83030008640 is an abundant number, since it is smaller than the sum of its proper divisors (114685200196).

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

83030008640 is a wasteful number, since it uses less digits than its factorization.

83030008640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259468794 (or 259468784 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The spelling of 83030008640 in words is "eighty-three billion, thirty million, eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 259468777 518937554 1037875108 1297343885 2075750216 2594687770 4151500432 5189375540 8303000864 10378751080 16606001728 20757502160 41515004320 83030008640