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20655172272 = 2437218894649
BaseRepresentation
bin10011001111001001…
…001110101010110000
31222022111100110122110
4103033021032222300
5314300211003042
613253332005320
71330566032100
oct231711165260
958274313573
1020655172272
11883a340709
124005460840
131c4234cc37
14ddd311200
1580d53609c
hex4cf24eab0

20655172272 has 120 divisors (see below), whose sum is σ = 62117118000. Its totient is φ = 5897084928.

The previous prime is 20655172267. The next prime is 20655172277. The reversal of 20655172272 is 27227155602.

It is an interprime number because it is at equal distance from previous prime (20655172267) and next prime (20655172277).

It is a super-2 number, since 2×206551722722 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20655172272.

It is not an unprimeable number, because it can be changed into a prime (20655172277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4440604 + ... + 4445252.

It is an arithmetic number, because the mean of its divisors is an integer number (517642650).

Almost surely, 220655172272 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 20655172272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31058559000).

20655172272 is an abundant number, since it is smaller than the sum of its proper divisors (41461945728).

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

20655172272 is a wasteful number, since it uses less digits than its factorization.

20655172272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6563 (or 6550 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 39.

The spelling of 20655172272 in words is "twenty billion, six hundred fifty-five million, one hundred seventy-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 1889 2352 3778 4649 5667 7556 9298 11334 13223 13947 15112 18596 22668 26446 27894 30224 32543 37192 39669 45336 52892 55788 65086 74384 79338 90672 92561 97629 105784 111576 130172 158676 185122 195258 211568 223152 227801 260344 277683 317352 370244 390516 455602 520688 555366 634704 683403 740488 781032 911204 1110732 1366806 1480976 1562064 1822408 2221464 2733612 3644816 4442928 5467224 8781961 10934448 17563922 26345883 35127844 52691766 61473727 70255688 105383532 122947454 140511376 184421181 210767064 245894908 368842362 421534128 430316089 491789816 737684724 860632178 983579632 1290948267 1475369448 1721264356 2581896534 2950738896 3442528712 5163793068 6885057424 10327586136 20655172272