Search a number
-
+
53195674848000 = 2835317149218761
BaseRepresentation
bin11000001100001100101010…
…10011011000101100000000
320222100110100001011201221120
430012012111103120230000
523433024220230114000
6305045431115552240
714130155261431506
oct1406062523305400
9228313301151846
1053195674848000
1115a4a182709283
125b71817a5b680
13238b43b4873b9
14d1c981dcc676
15623b1cc766a0
hex3061954d8b00

53195674848000 has 576 divisors, whose sum is σ = 188339381193600. Its totient is φ = 13261406208000.

The previous prime is 53195674847951. The next prime is 53195674848053. The reversal of 53195674848000 is 84847659135.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 63 ways as a sum of consecutive naturals, for example, 243058620 + ... + 243277380.

It is an arithmetic number, because the mean of its divisors is an integer number (326978092350).

Almost surely, 253195674848000 is an apocalyptic number.

53195674848000 is a gapful number since it is divisible by the number (50) 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 53195674848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94169690596800).

53195674848000 is an abundant number, since it is smaller than the sum of its proper divisors (135143706345600).

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

53195674848000 is a wasteful number, since it uses less digits than its factorization.

53195674848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218961 (or 218937 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 53195674848000 in words is "fifty-three trillion, one hundred ninety-five billion, six hundred seventy-four million, eight hundred forty-eight thousand".