Search a number
-
+
53330991340900 = 2252713217193673803
BaseRepresentation
bin11000010000001000101101…
…10010110101110101100100
320222211101121111000210202211
430020010112302311311210
523442233332240402100
6305231530314013204
714143015452564250
oct1410042662656544
9228741544023684
1053330991340900
1115aa1601304199
125b93aa1117204
13239b124941600
14d2533b5c3260
156273dc70c1ba
hex308116cb5d64

53330991340900 has 864 divisors, whose sum is σ = 160100112936960. Its totient is φ = 15004499927040.

The previous prime is 53330991340889. The next prime is 53330991340903. The reversal of 53330991340900 is 904319903335.

It is not an unprimeable number, because it can be changed into a prime (53330991340903) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 14023398399 + ... + 14023402201.

It is an arithmetic number, because the mean of its divisors is an integer number (185301056640).

Almost surely, 253330991340900 is an apocalyptic number.

53330991340900 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 53330991340900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80050056468480).

53330991340900 is an abundant number, since it is smaller than the sum of its proper divisors (106769121596060).

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

53330991340900 is a wasteful number, since it uses less digits than its factorization.

53330991340900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4253 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 1180980, while the sum is 49.

The spelling of 53330991340900 in words is "fifty-three trillion, three hundred thirty billion, nine hundred ninety-one million, three hundred forty thousand, nine hundred".