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20525228448 = 2533741140939
BaseRepresentation
bin10011000111011001…
…100010000110100000
31221222102211122020020
4103013121202012200
5314013424302243
613232410513440
71324430364114
oct230731420640
957872748206
1020525228448
118782a57a1a
123b89a35880
131c21453bba
14dc9d67744
15801e19283
hex4c76621a0

20525228448 has 96 divisors (see below), whose sum is σ = 56684940480. Its totient is φ = 6494423040.

The previous prime is 20525228441. The next prime is 20525228453. The reversal of 20525228448 is 84482252502.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (20525228441) 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, 75163 + ... + 216101.

It is an arithmetic number, because the mean of its divisors is an integer number (590468130).

Almost surely, 220525228448 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 20525228448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28342470240).

20525228448 is an abundant number, since it is smaller than the sum of its proper divisors (36159712032).

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

20525228448 is a wasteful number, since it uses less digits than its factorization.

20525228448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141030 (or 141022 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 42.

The spelling of 20525228448 in words is "twenty billion, five hundred twenty-five million, two hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 41 48 74 82 96 111 123 148 164 222 246 296 328 444 492 592 656 888 984 1184 1312 1517 1776 1968 3034 3552 3936 4551 6068 9102 12136 18204 24272 36408 48544 72816 140939 145632 281878 422817 563756 845634 1127512 1691268 2255024 3382536 4510048 5214743 5778499 6765072 10429486 11556998 13530144 15644229 17335497 20858972 23113996 31288458 34670994 41717944 46227992 62576916 69341988 83435888 92455984 125153832 138683976 166871776 184911968 213804463 250307664 277367952 427608926 500615328 554735904 641413389 855217852 1282826778 1710435704 2565653556 3420871408 5131307112 6841742816 10262614224 20525228448