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21032769072 = 2437892812503
BaseRepresentation
bin10011100101101001…
…101001011000110000
32000021210212101002010
4103211221221120300
5321033342102242
613355021122520
71343132405310
oct234551513060
960253771063
1021032769072
118a134a4787
1240ab9b9440
131ca26492b3
141037523440
1583177189c
hex4e5a69630

21032769072 has 160 divisors (see below), whose sum is σ = 63043107840. Its totient is φ = 5918330880.

The previous prime is 21032769067. The next prime is 21032769089. The reversal of 21032769072 is 27096723012.

It is an alternating number because its digits alternate between even and odd.

It is a self number, because there is not a number n which added to its sum of digits gives 21032769072.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8401773 + ... + 8404275.

It is an arithmetic number, because the mean of its divisors is an integer number (394019424).

Almost surely, 221032769072 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 21032769072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31521553920).

21032769072 is an abundant number, since it is smaller than the sum of its proper divisors (42010338768).

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

21032769072 is a wasteful number, since it uses less digits than its factorization.

21032769072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 21032769072 in words is "twenty-one billion, thirty-two million, seven hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 168 178 267 281 336 356 534 562 623 712 843 1068 1124 1246 1424 1686 1869 1967 2136 2248 2492 2503 3372 3738 3934 4272 4496 4984 5006 5901 6744 7476 7509 7868 9968 10012 11802 13488 14952 15018 15736 17521 20024 23604 25009 29904 30036 31472 35042 40048 47208 50018 52563 60072 70084 75027 94416 100036 105126 120144 140168 150054 175063 200072 210252 222767 280336 300108 350126 400144 420504 445534 525189 600216 668301 700252 703343 841008 891068 1050378 1200432 1336602 1400504 1406686 1559369 1782136 2100756 2110029 2673204 2801008 2813372 3118738 3564272 4201512 4220058 4678107 4923401 5346408 5626744 6237476 8403024 8440116 9356214 9846802 10692816 11253488 12474952 14770203 16880232 18712428 19693604 24949904 29540406 33760464 37424856 39387208 59080812 62597527 74849712 78774416 118161624 125195054 187792581 236323248 250390108 375585162 438182689 500780216 751170324 876365378 1001560432 1314548067 1502340648 1752730756 2629096134 3004681296 3505461512 5258192268 7010923024 10516384536 21032769072