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21474654192 = 24324710513019
BaseRepresentation
bin10011111111111111…
…010011011111110000
32001102121100110111200
4103333333103133300
5322440002413232
613510524211200
71360106356155
oct237777233760
961377313450
1021474654192
11911a9785a2
1241b3999b00
132043064494
14107a0ac22c
1585a45a77c
hex4fffd37f0

21474654192 has 120 divisors (see below), whose sum is σ = 61456661760. Its totient is φ = 6996931200.

The previous prime is 21474654169. The next prime is 21474654287. The reversal of 21474654192 is 29145647412.

21474654192 is a `hidden beast` number, since 2 + 14 + 7 + 4 + 6 + 541 + 92 = 666.

It is a super-2 number, since 2×214746541922 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7111659 + ... + 7114677.

It is an arithmetic number, because the mean of its divisors is an integer number (512138848).

Almost surely, 221474654192 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 21474654192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30728330880).

21474654192 is an abundant number, since it is smaller than the sum of its proper divisors (39982007568).

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

21474654192 is a wasteful number, since it uses less digits than its factorization.

21474654192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4131 (or 4122 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 21474654192 in words is "twenty-one billion, four hundred seventy-four million, six hundred fifty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 47 48 72 94 141 144 188 282 376 423 564 752 846 1051 1128 1692 2102 2256 3019 3153 3384 4204 6038 6306 6768 8408 9057 9459 12076 12612 16816 18114 18918 24152 25224 27171 36228 37836 48304 49397 50448 54342 72456 75672 98794 108684 141893 144912 148191 151344 197588 217368 283786 296382 395176 425679 434736 444573 567572 592764 790352 851358 889146 1135144 1185528 1277037 1702716 1778292 2270288 2371056 2554074 3172969 3405432 3556584 5108148 6345938 6810864 7113168 9518907 10216296 12691876 19037814 20432592 25383752 28556721 38075628 50767504 57113442 76151256 114226884 149129543 152302512 228453768 298259086 447388629 456907536 596518172 894777258 1193036344 1342165887 1789554516 2386072688 2684331774 3579109032 5368663548 7158218064 10737327096 21474654192