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10053842183352 = 23321147571147293
BaseRepresentation
bin1001001001001101011110…
…1100010010010010111000
31022121010201112210120011100
42102103113230102102320
52304210232044331402
633214401001531400
72055236403346632
oct222232754222270
938533645716140
1010053842183352
1132268a089a310
1211646034a3b60
1357c0c4c11c06
1426a873c51a52
151267cbc8771c
hex924d7b124b8

10053842183352 has 192 divisors, whose sum is σ = 30342498600960. Its totient is φ = 2981212012800.

The previous prime is 10053842183323. The next prime is 10053842183387. The reversal of 10053842183352 is 25338124835001.

10053842183352 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 3 + 84 + 218 + 3 + 352 = 666.

It is a super-2 number, since 2×100538421833522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10053842183298 and 10053842183307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212562618 + ... + 212609910.

It is an arithmetic number, because the mean of its divisors is an integer number (158033846880).

Almost surely, 210053842183352 is an apocalyptic number.

10053842183352 is a gapful number since it is divisible by the number (12) 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 10053842183352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15171249300480).

10053842183352 is an abundant number, since it is smaller than the sum of its proper divisors (20288656417608).

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

10053842183352 is a wasteful number, since it uses less digits than its factorization.

10053842183352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53074 (or 53067 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 10053842183352 in words is "ten trillion, fifty-three billion, eight hundred forty-two million, one hundred eighty-three thousand, three hundred fifty-two".