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20079564528 = 243312716131
BaseRepresentation
bin10010101100110101…
…011101011011110000
31220211101020120021010
4102230311131123300
5312110332031103
613120250430520
71310406324312
oct225465353360
956741216233
1020079564528
118574433031
123a84732440
131b80014a3a
14d86ab77b2
157c7c35903
hex4acd5d6f0

20079564528 has 120 divisors (see below), whose sum is σ = 54363270528. Its totient is φ = 6385008000.

The previous prime is 20079564511. The next prime is 20079564539. The reversal of 20079564528 is 82546597002.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3272023 + ... + 3278153.

Almost surely, 220079564528 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 20079564528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27181635264).

20079564528 is an abundant number, since it is smaller than the sum of its proper divisors (34283706000).

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

20079564528 is a wasteful number, since it uses less digits than its factorization.

20079564528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6275 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 20079564528 in words is "twenty billion, seventy-nine million, five hundred sixty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 71 93 124 142 186 213 248 284 372 426 496 568 744 852 961 1136 1488 1704 1922 2201 2883 3408 3844 4402 5766 6131 6603 7688 8804 11532 12262 13206 15376 17608 18393 23064 24524 26412 35216 36786 46128 49048 52824 68231 73572 98096 105648 136462 147144 190061 204693 272924 294288 380122 409386 435301 545848 570183 760244 818772 870602 1091696 1140366 1305903 1520488 1637544 1741204 2280732 2611806 3040976 3275088 3482408 4561464 5223612 5891891 6964816 9122928 10447224 11783782 13494331 17675673 20894448 23567564 26988662 35351346 40482993 47135128 53977324 70702692 80965986 94270256 107954648 141405384 161931972 215909296 282810768 323863944 418324261 647727888 836648522 1254972783 1673297044 2509945566 3346594088 5019891132 6693188176 10039782264 20079564528