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253540204032 = 293202981353
BaseRepresentation
bin1110110000100000101…
…1000111111000000000
3220020102122121212002010
43230020023013320000
513123222243012112
6312250314252520
724213651114213
oct3541013077000
9806378555063
10253540204032
1198586920a05
124117a127140
131aba7663b8b
14c3b2a7777a
1568dda1863c
hex3b082c7e00

253540204032 has 80 divisors (see below), whose sum is σ = 675788153040. Its totient is φ = 84470710272.

The previous prime is 253540203971. The next prime is 253540204081. The reversal of 253540204032 is 230402045352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3075868 + ... + 3157220.

It is an arithmetic number, because the mean of its divisors is an integer number (8447351913).

Almost surely, 2253540204032 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 253540204032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337894076520).

253540204032 is an abundant number, since it is smaller than the sum of its proper divisors (422247949008).

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

253540204032 is an equidigital number, since it uses as much as digits as its factorization.

253540204032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83403 (or 83387 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 253540204032 its reverse (230402045352), we get a palindrome (483942249384).

The spelling of 253540204032 in words is "two hundred fifty-three billion, five hundred forty million, two hundred four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 2029 4058 6087 8116 12174 16232 24348 32464 48696 64928 81353 97392 129856 162706 194784 244059 259712 325412 389568 488118 519424 650824 779136 976236 1038848 1301648 1558272 1952472 2603296 3116544 3904944 5206592 7809888 10413184 15619776 20826368 31239552 41652736 62479104 124958208 165065237 330130474 495195711 660260948 990391422 1320521896 1980782844 2641043792 3961565688 5282087584 7923131376 10564175168 15846262752 21128350336 31692525504 42256700672 63385051008 84513401344 126770102016 253540204032