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53253660440 = 23537187319211
BaseRepresentation
bin110001100110001010…
…100101111100011000
312002110100011020200002
4301212022211330120
51333030414113230
640244150432132
73563450434151
oct614612457430
9162410136602
1053253660440
1120648337322
12a3a2662648
135038b78aa6
1428128c6928
1515ba342545
hexc662a5f18

53253660440 has 64 divisors (see below), whose sum is σ = 123131244960. Its totient is φ = 20713605120.

The previous prime is 53253660431. The next prime is 53253660469. The reversal of 53253660440 is 4406635235.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 53253660394 and 53253660403.

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 15 ways as a sum of consecutive naturals, for example, 2762435 + ... + 2781645.

Almost surely, 253253660440 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 53253660440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61565622480).

53253660440 is an abundant number, since it is smaller than the sum of its proper divisors (69877584520).

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

53253660440 is a wasteful number, since it uses less digits than its factorization.

53253660440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21132 (or 21128 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 38.

The spelling of 53253660440 in words is "fifty-three billion, two hundred fifty-three million, six hundred sixty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 1873 3746 7492 9365 14984 18730 19211 37460 38422 69301 74920 76844 96055 138602 153688 192110 277204 346505 384220 554408 693010 710807 768440 1386020 1421614 2772040 2843228 3554035 5686456 7108070 14216140 28432280 35982203 71964406 143928812 179911015 287857624 359822030 719644060 1331341511 1439288120 2662683022 5325366044 6656707555 10650732088 13313415110 26626830220 53253660440