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20279053728 = 253896589
BaseRepresentation
bin10010111000101110…
…011100110110100000
31221100021121200000000
4102320232130312200
5313012414204403
613152134300000
71315351053423
oct227056346640
957307550000
1020279053728
118666aa723a
123b1b4b7600
131bb245069b
14da53a59ba
157da4dd7a3
hex4b8b9cda0

20279053728 has 108 divisors (see below), whose sum is σ = 59884157970. Its totient is φ = 6759614592.

The previous prime is 20279053727. The next prime is 20279053733. The reversal of 20279053728 is 82735097202.

20279053728 is a `hidden beast` number, since 2 + 0 + 2 + 7 + 90 + 537 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20047161744 + 231891984 = 141588^2 + 15228^2 .

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×202790537282 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20279053727) 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 17 ways as a sum of consecutive naturals, for example, 161658 + ... + 258246.

Almost surely, 220279053728 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 20279053728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29942078985).

20279053728 is an abundant number, since it is smaller than the sum of its proper divisors (39605104242).

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

20279053728 is an frugal number, since it uses more digits than its factorization.

20279053728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96623 (or 96594 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 20279053728 in words is "twenty billion, two hundred seventy-nine million, fifty-three thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2187 2592 2916 3888 4374 5832 6561 7776 8748 11664 13122 17496 23328 26244 34992 52488 69984 96589 104976 193178 209952 289767 386356 579534 772712 869301 1159068 1545424 1738602 2318136 2607903 3090848 3477204 4636272 5215806 6954408 7823709 9272544 10431612 13908816 15647418 20863224 23471127 27817632 31294836 41726448 46942254 62589672 70413381 83452896 93884508 125179344 140826762 187769016 211240143 250358688 281653524 375538032 422480286 563307048 633720429 751076064 844960572 1126614096 1267440858 1689921144 2253228192 2534881716 3379842288 5069763432 6759684576 10139526864 20279053728