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234890966016 = 2103373173147
BaseRepresentation
bin1101101011000010010…
…1111011010000000000
3211110021221210101221000
43122300211323100000
512322024041403031
6255524000332000
722653550161000
oct3326045732000
9743257711830
10234890966016
1190686910403
1239634614000
13191c4a883b5
14b523d28000
15619b6683e6
hex36b097b400

234890966016 has 1408 divisors, whose sum is σ = 905527296000. Its totient is φ = 59825848320.

The previous prime is 234890965921. The next prime is 234890966021. The reversal of 234890966016 is 610669098432.

234890966016 is a `hidden beast` number, since 2 + 3 + 489 + 0 + 96 + 60 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4997680105 + ... + 4997680151.

Almost surely, 2234890966016 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 234890966016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452763648000).

234890966016 is an abundant number, since it is smaller than the sum of its proper divisors (670636329984).

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

234890966016 is a wasteful number, since it uses less digits than its factorization.

234890966016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 234890966016 in words is "two hundred thirty-four billion, eight hundred ninety million, nine hundred sixty-six thousand, sixteen".