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89930949408 = 25333116320599
BaseRepresentation
bin101001111000001001…
…1010110001100100000
322121010102221120112000
41103300103112030200
52433134310340113
6105151432204000
76332400312606
oct1236023261440
9277112846460
1089930949408
1135159749393
1215519839600
138632726941
1444d1a85876
15251528c373
hex14f04d6320

89930949408 has 192 divisors, whose sum is σ = 272434176000. Its totient is φ = 28830608640.

The previous prime is 89930949403. The next prime is 89930949457. The reversal of 89930949408 is 80494903998.

It is a super-2 number, since 2×899309494082 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (89930949401) 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, 4355493 + ... + 4376091.

It is an arithmetic number, because the mean of its divisors is an integer number (1418928000).

Almost surely, 289930949408 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 89930949408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136217088000).

89930949408 is an abundant number, since it is smaller than the sum of its proper divisors (182503226592).

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

89930949408 is a wasteful number, since it uses less digits than its factorization.

89930949408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20812 (or 20798 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 89930949408 in words is "eighty-nine billion, nine hundred thirty million, nine hundred forty-nine thousand, four hundred eight".