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20122452432 = 2433271171881
BaseRepresentation
bin10010101111011001…
…000100000111010000
31220221100221111102000
4102233121010013100
5312202321434212
613124421554000
71311440011035
oct225731040720
956840844360
1020122452432
118596666385
123a96b75900
131b88b7cbb4
14d8c67d38c
157cb8a81dc
hex4af6441d0

20122452432 has 80 divisors (see below), whose sum is σ = 57972360960. Its totient is φ = 6682694400.

The previous prime is 20122452391. The next prime is 20122452463. The reversal of 20122452432 is 23425422102.

20122452432 is a `hidden beast` number, since 2 + 0 + 1 + 224 + 5 + 2 + 432 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20122452396 and 20122452405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31132 + ... + 203012.

It is an arithmetic number, because the mean of its divisors is an integer number (724654512).

Almost surely, 220122452432 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 20122452432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28986180480).

20122452432 is an abundant number, since it is smaller than the sum of its proper divisors (37849908528).

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

20122452432 is a wasteful number, since it uses less digits than its factorization.

20122452432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172169 (or 172157 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 20122452432 its reverse (23425422102), we get a palindrome (43547874534).

The spelling of 20122452432 in words is "twenty billion, one hundred twenty-two million, four hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 271 432 542 813 1084 1626 2168 2439 3252 4336 4878 6504 7317 9756 13008 14634 19512 29268 39024 58536 117072 171881 343762 515643 687524 1031286 1375048 1546929 2062572 2750096 3093858 4125144 4640787 6187716 8250288 9281574 12375432 18563148 24750864 37126296 46579751 74252592 93159502 139739253 186319004 279478506 372638008 419217759 558957012 745276016 838435518 1117914024 1257653277 1676871036 2235828048 2515306554 3353742072 5030613108 6707484144 10061226216 20122452432