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20352434432 = 281123331019
BaseRepresentation
bin10010111101000110…
…011000000100000000
31221112101200210101212
4102331012120010000
5313140210400212
613203315145252
71320231560351
oct227506300400
957471623355
1020352434432
1186a4467250
123b3bba5228
131bc4703c15
14db1027d28
157e1b85e22
hex4bd198100

20352434432 has 72 divisors (see below), whose sum is σ = 44510225760. Its totient is φ = 9211105280.

The previous prime is 20352434423. The next prime is 20352434437. The reversal of 20352434432 is 23443425302.

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

It is not an unprimeable number, because it can be changed into a prime (20352434437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 640619 + ... + 671637.

It is an arithmetic number, because the mean of its divisors is an integer number (618197580).

Almost surely, 220352434432 is an apocalyptic number.

20352434432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20352434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22255112880).

20352434432 is an abundant number, since it is smaller than the sum of its proper divisors (24157791328).

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

20352434432 is a wasteful number, since it uses less digits than its factorization.

20352434432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31279 (or 31265 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 32.

Adding to 20352434432 its reverse (23443425302), we get a palindrome (43795859734).

The spelling of 20352434432 in words is "twenty billion, three hundred fifty-two million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 233 256 352 466 704 932 1408 1864 2563 2816 3728 5126 7456 10252 14912 20504 29824 31019 41008 59648 62038 82016 124076 164032 248152 328064 341209 496304 656128 682418 992608 1364836 1985216 2729672 3970432 5459344 7227427 7940864 10918688 14454854 21837376 28909708 43674752 57819416 79501697 87349504 115638832 159003394 231277664 318006788 462555328 636013576 925110656 1272027152 1850221312 2544054304 5088108608 10176217216 20352434432