Search a number
-
+
54210763775616 = 273767893599421
BaseRepresentation
bin11000101001101111011010…
…10100010101111010000000
321002221111110100002002212120
430110313231110111322000
524101142121011304431
6311144025302324240
714263412156105250
oct1424675524257200
9232844410062776
1054210763775616
1116300723974888
1260b64ab129680
13243308c836a76
14d55b5a3a7960
1564022e01b196
hex314ded515e80

54210763775616 has 512 divisors, whose sum is σ = 169389771264000. Its totient is φ = 15042560163840.

The previous prime is 54210763775587. The next prime is 54210763775621. The reversal of 54210763775616 is 61657736701245.

It is a self number, because there is not a number n which added to its sum of digits gives 54210763775616.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5754242586 + ... + 5754252006.

It is an arithmetic number, because the mean of its divisors is an integer number (330839397000).

Almost surely, 254210763775616 is an apocalyptic number.

54210763775616 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 54210763775616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84694885632000).

54210763775616 is an abundant number, since it is smaller than the sum of its proper divisors (115179007488384).

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

54210763775616 is a wasteful number, since it uses less digits than its factorization.

54210763775616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9960 (or 9948 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 60.

The spelling of 54210763775616 in words is "fifty-four trillion, two hundred ten billion, seven hundred sixty-three million, seven hundred seventy-five thousand, six hundred sixteen".