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21899199616 = 277432692113
BaseRepresentation
bin10100011001010010…
…110100010010000000
32002112012012121100021
4110121102310102000
5324322143341431
614021011503224
71403453061010
oct243122642200
962465177307
1021899199616
119318588888
1242b1bb7b14
1320accbb0a8
1410ba621c40
1588286bb11
hex5194b4480

21899199616 has 128 divisors (see below), whose sum is σ = 51233212800. Its totient is φ = 9128706048.

The previous prime is 21899199589. The next prime is 21899199677. The reversal of 21899199616 is 61699199812.

It is a tau number, because it is divible by the number of its divisors (128).

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, 10362976 + ... + 10365088.

It is an arithmetic number, because the mean of its divisors is an integer number (400259475).

Almost surely, 221899199616 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 21899199616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25616606400).

21899199616 is an abundant number, since it is smaller than the sum of its proper divisors (29334013184).

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

21899199616 is a wasteful number, since it uses less digits than its factorization.

21899199616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2446 (or 2434 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 61.

The spelling of 21899199616 in words is "twenty-one billion, eight hundred ninety-nine million, one hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 128 172 224 269 301 344 448 538 602 688 896 1076 1204 1376 1883 2113 2152 2408 2752 3766 4226 4304 4816 5504 7532 8452 8608 9632 11567 14791 15064 16904 17216 19264 23134 29582 30128 33808 34432 38528 46268 59164 60256 67616 80969 90859 92536 118328 120512 135232 161938 181718 185072 236656 241024 270464 323876 363436 370144 473312 568397 636013 647752 726872 740288 946624 1136794 1272026 1295504 1453744 1480576 1893248 2273588 2544052 2591008 2907488 3978779 4547176 5088104 5182016 5814976 7957558 9094352 10176208 10364032 11629952 15915116 18188704 20352416 24441071 31830232 36377408 40704832 48882142 63660464 72754816 81409664 97764284 127320928 171087497 195528568 254641856 342174994 391057136 509283712 684349988 782114272 1368699976 1564228544 2737399952 3128457088 5474799904 10949599808 21899199616