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90234112000 = 21153418597
BaseRepresentation
bin101010000001001011…
…1110100100000000000
322121220120101211102011
41110002113310200000
52434244413041000
6105241502102304
76343041203554
oct1240227644000
9277816354364
1090234112000
11352a489298a
12155a327a994
1386804910a6
14452003d864
152531bc32ba
hex15025f4800

90234112000 has 192 divisors, whose sum is σ = 230688123120. Its totient is φ = 35209216000.

The previous prime is 90234111977. The next prime is 90234112021. The reversal of 90234112000 is 21143209.

It can be written as a sum of positive squares in 8 ways, for example, as 3564544 + 90230547456 = 1888^2 + 300384^2 .

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, 10491702 + ... + 10500298.

Almost surely, 290234112000 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 90234112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115344061560).

90234112000 is an abundant number, since it is smaller than the sum of its proper divisors (140454011120).

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

90234112000 is an equidigital number, since it uses as much as digits as its factorization.

90234112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8675 (or 8645 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 90234112000 its reverse (21143209), we get a palindrome (90255255209).

The spelling of 90234112000 in words is "ninety billion, two hundred thirty-four million, one hundred twelve thousand".