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20084515216 = 2423713372281
BaseRepresentation
bin10010101101001000…
…010110000110010000
31220211201120002022221
4102231020112012100
5312113113441331
613120544510424
71310466363643
oct225510260620
956751502287
1020084515216
118577204607
123a8631b414
131b8105923c
14d87605a5a
157c83b2711
hex4ad216190

20084515216 has 80 divisors (see below), whose sum is σ = 41317855488. Its totient is φ = 9438105600.

The previous prime is 20084515189. The next prime is 20084515223. The reversal of 20084515216 is 61251548002.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8803996 + ... + 8806276.

Almost surely, 220084515216 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 20084515216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20658927744).

20084515216 is an abundant number, since it is smaller than the sum of its proper divisors (21233340272).

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

20084515216 is a wasteful number, since it uses less digits than its factorization.

20084515216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2720 (or 2714 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 20084515216 in words is "twenty billion, eighty-four million, five hundred fifteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 23 46 71 92 142 184 284 337 368 568 674 1136 1348 1633 2281 2696 3266 4562 5392 6532 7751 9124 13064 15502 18248 23927 26128 31004 36496 47854 52463 62008 95708 104926 124016 161951 191416 209852 323902 382832 419704 550321 647804 768697 839408 1100642 1295608 1537394 2201284 2591216 3074788 3724873 4402568 6149576 7449746 8805136 12299152 14899492 17680031 29798984 35360062 54577487 59597968 70720124 109154974 141440248 218309948 282880496 436619896 873239792 1255282201 2510564402 5021128804 10042257608 20084515216