Search a number
-
+
557331425280000 = 214355473653
BaseRepresentation
bin111111010111000111101010…
…1101000000100000000000000
32201002100100211021211112200000
41332232033111220010000000
51041022304224332430000
65253202304442400000
7225251603163303000
oct17656172550040000
92632310737745600
10557331425280000
11151645a25a74488
1252612692800000
131abca187c96207
149b8adb085a000
154467709230000
hex1fae3d5a04000

557331425280000 has 3600 divisors, whose sum is σ = 2436839009404800. Its totient is φ = 127194955776000.

The previous prime is 557331425279963. The next prime is 557331425280067. The reversal of 557331425280000 is 82524133755.

557331425280000 is a `hidden beast` number, since 5 + 5 + 7 + 3 + 314 + 252 + 80 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 853493759674 + ... + 853493760326.

Almost surely, 2557331425280000 is an apocalyptic number.

557331425280000 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 557331425280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218419504702400).

557331425280000 is an abundant number, since it is smaller than the sum of its proper divisors (1879507584124800).

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

557331425280000 is an frugal number, since it uses more digits than its factorization.

557331425280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 557331425280000 in words is "five hundred fifty-seven trillion, three hundred thirty-one billion, four hundred twenty-five million, two hundred eighty thousand".