Search a number
-
+
55921680557736 = 233719212757712583
BaseRepresentation
bin11001011011100010001111…
…11001111010011010101000
321100000001122001211220212020
430231301013321322122220
524312210100210321421
6314534022042544440
714531131242566040
oct1455610771723250
9240001561756766
1055921680557736
1116900284888354
126331bb5808120
132528512b7ac16
14db48a3922720
1566e9b7e3bdc6
hex32dc47e7a6a8

55921680557736 has 384 divisors, whose sum is σ = 170263960289280. Its totient is φ = 14990290624512.

The previous prime is 55921680557693. The next prime is 55921680557737. The reversal of 55921680557736 is 63775508612955.

It is not an unprimeable number, because it can be changed into a prime (55921680557737) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4444218501 + ... + 4444231083.

It is an arithmetic number, because the mean of its divisors is an integer number (443395729920).

Almost surely, 255921680557736 is an apocalyptic number.

55921680557736 is a gapful number since it is divisible by the number (56) 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 55921680557736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85131980144640).

55921680557736 is an abundant number, since it is smaller than the sum of its proper divisors (114342279731544).

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

55921680557736 is a wasteful number, since it uses less digits than its factorization.

55921680557736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13341 (or 13318 counting only the distinct ones).

The product of its (nonzero) digits is 476280000, while the sum is 69.

The spelling of 55921680557736 in words is "fifty-five trillion, nine hundred twenty-one billion, six hundred eighty million, five hundred fifty-seven thousand, seven hundred thirty-six".