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89990000920 = 23529530314629
BaseRepresentation
bin101001111001111010…
…0100111000100011000
322121021120001200222001
41103303310213010120
52433244420012140
6105201342010344
76334015246501
oct1236364470430
9277246050861
1089990000920
113518a011696
12155355769b4
138641a30c71
1444d9857ba8
15251a553e9a
hex14f3d27118

89990000920 has 64 divisors (see below), whose sum is σ = 209513304000. Its totient is φ = 34745829888.

The previous prime is 89990000873. The next prime is 89990000923. The reversal of 89990000920 is 2900009998.

It is a happy number.

89990000920 is a nontrivial binomial coefficient, being equal to C(424241, 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89990000923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6144166 + ... + 6158794.

It is an arithmetic number, because the mean of its divisors is an integer number (3273645375).

Almost surely, 289990000920 is an apocalyptic number.

89990000920 is the 424240-th triangular number.

89990000920 is the 141414-th centered nonagonal number.

It is an amenable number.

89990000920 is an abundant number, since it is smaller than the sum of its proper divisors (119523303080).

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

89990000920 is a wasteful number, since it uses less digits than its factorization.

89990000920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19972 (or 19968 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 46.

The spelling of 89990000920 in words is "eighty-nine billion, nine hundred ninety million, nine hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 5303 10606 14629 21212 26515 29258 42424 53030 58516 73145 106060 117032 146290 153787 212120 292580 307574 424241 585160 615148 768935 848482 1230296 1537870 1696964 2121205 3075740 3393928 4242410 6151480 8484820 16969640 77577587 155155174 310310348 387887935 620620696 775775870 1551551740 2249750023 3103103480 4499500046 8999000092 11248750115 17998000184 22497500230 44995000460 89990000920