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253540203972 = 223111920759121
BaseRepresentation
bin1110110000100000101…
…1000111110111000100
3220020102122121211222220
43230020023013313010
513123222243011342
6312250314252340
724213651114066
oct3541013076704
9806378554886
10253540203972
1198586920960
124117a1270b0
131aba7663b43
14c3b2a77736
1568dda185ec
hex3b082c7dc4

253540203972 has 24 divisors (see below), whose sum is σ = 645375064992. Its totient is φ = 76830364800.

The previous prime is 253540203971. The next prime is 253540204081. The reversal of 253540203972 is 279302045352.

It is a happy number.

It is a super-4 number, since 4×2535402039724 (a number of 47 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (253540203971) 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, 960379429 + ... + 960379692.

It is an arithmetic number, because the mean of its divisors is an integer number (26890627708).

Almost surely, 2253540203972 is an apocalyptic number.

253540203972 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253540203972 is an abundant number, since it is smaller than the sum of its proper divisors (391834861020).

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

253540203972 is a wasteful number, since it uses less digits than its factorization.

253540203972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920759139 (or 1920759137 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 42.

The spelling of 253540203972 in words is "two hundred fifty-three billion, five hundred forty million, two hundred three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1920759121 3841518242 5762277363 7683036484 11524554726 21128350331 23049109452 42256700662 63385050993 84513401324 126770101986 253540203972