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53432934144 = 283508113693
BaseRepresentation
bin110001110000110110…
…011101111100000000
312002220211111021221220
4301300312131330000
51333412312343034
640314033115040
73601055306052
oct616066357400
9162824437856
1053432934144
112072a553307
12a4326b8a80
1350670571c5
14282c6318d2
1515cae55749
hexc70d9df00

53432934144 has 72 divisors (see below), whose sum is σ = 142247903952. Its totient is φ = 17806172160.

The previous prime is 53432934131. The next prime is 53432934169. The reversal of 53432934144 is 44143923435.

It is a junction number, because it is equal to n+sod(n) for n = 53432934096 and 53432934105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3895362 + ... + 3909054.

Almost surely, 253432934144 is an apocalyptic number.

It is an amenable number.

53432934144 is an abundant number, since it is smaller than the sum of its proper divisors (88814969808).

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

53432934144 is a wasteful number, since it uses less digits than its factorization.

53432934144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18793 (or 18779 counting only the distinct ones).

The product of its digits is 622080, while the sum is 42.

The spelling of 53432934144 in words is "fifty-three billion, four hundred thirty-two million, nine hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 5081 10162 13693 15243 20324 27386 30486 40648 41079 54772 60972 81296 82158 109544 121944 162592 164316 219088 243888 325184 328632 438176 487776 650368 657264 876352 975552 1300736 1314528 1752704 1951104 2629056 3505408 3902208 5258112 10516224 69574133 139148266 208722399 278296532 417444798 556593064 834889596 1113186128 1669779192 2226372256 3339558384 4452744512 6679116768 8905489024 13358233536 17810978048 26716467072 53432934144