Search a number
-
+
53937913236480 = 2103357313253127
BaseRepresentation
bin11000100001110011001100…
…01010001000110000000000
321001222102011220122120221000
430100321212022020300000
524032204321242031410
6310414422452332000
714234612525562000
oct1420714612106000
9231872156576830
1053937913236480
1116205a38955349
126071642014000
132413428659400
14d46874c92000
156380b00b6dc0
hex310e66288c00

53937913236480 has 4224 divisors, whose sum is σ = 248567242752000. Its totient is φ = 11077666209792.

The previous prime is 53937913236439. The next prime is 53937913236491. The reversal of 53937913236480 is 8463231973935.

53937913236480 is a `hidden beast` number, since 5 + 3 + 9 + 3 + 7 + 91 + 32 + 36 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 424707978177 + ... + 424707978303.

It is a 1-persistent number, because it is pandigital, but 2⋅53937913236480 = 107875826472960 is not.

Almost surely, 253937913236480 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 53937913236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124283621376000).

53937913236480 is an abundant number, since it is smaller than the sum of its proper divisors (194629329515520).

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

53937913236480 is a wasteful number, since it uses less digits than its factorization.

53937913236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 63.

The spelling of 53937913236480 in words is "fifty-three trillion, nine hundred thirty-seven billion, nine hundred thirteen million, two hundred thirty-six thousand, four hundred eighty".