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20453300672 = 267411398011
BaseRepresentation
bin10011000011000111…
…001001100111000000
31221210102111022212112
4103003013021213000
5313342021110142
613221321114452
71322565121130
oct230307114700
957712438775
1020453300672
11874639a582
123b69928a28
131c0c58ba9c
14dc05a2ac0
157ea95c382
hex4c31c99c0

20453300672 has 112 divisors (see below), whose sum is σ = 47864328960. Its totient is φ = 8489318400.

The previous prime is 20453300669. The next prime is 20453300677. The reversal of 20453300672 is 27600335402.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20453300677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2549147 + ... + 2557157.

It is an arithmetic number, because the mean of its divisors is an integer number (427360080).

Almost surely, 220453300672 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 20453300672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23932164480).

20453300672 is an abundant number, since it is smaller than the sum of its proper divisors (27411028288).

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

20453300672 is a wasteful number, since it uses less digits than its factorization.

20453300672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8210 (or 8200 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 32.

The spelling of 20453300672 in words is "twenty billion, four hundred fifty-three million, three hundred thousand, six hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 139 164 224 278 287 328 448 556 574 656 973 1112 1148 1312 1946 2224 2296 2624 3892 4448 4592 5699 7784 8011 8896 9184 11398 15568 16022 18368 22796 31136 32044 39893 45592 56077 62272 64088 79786 91184 112154 128176 159572 182368 224308 256352 319144 328451 364736 448616 512704 638288 656902 897232 1113529 1276576 1313804 1794464 2227058 2299157 2553152 2627608 3588928 4454116 4598314 5255216 7794703 8908232 9196628 10510432 15589406 17816464 18393256 21020864 31178812 35632928 36786512 45654689 62357624 71265856 73573024 91309378 124715248 147146048 182618756 249430496 319582823 365237512 498860992 639165646 730475024 1278331292 1460950048 2556662584 2921900096 5113325168 10226650336 20453300672