Search a number
-
+
55694564610048 = 2123673134789
BaseRepresentation
bin11001010100111011001101…
…01111010101000000000000
321022012100101222010101000000
430222131212233111000000
524244444432020010143
6314241421344000000
714505541142103000
oct1452354657250000
9238170358111000
1055694564610048
1116822a2884a331
1262b5b91000000
13250cc89b428b0
14da78ba45a000
15668b2417cbd3
hex32a766bd5000

55694564610048 has 2912 divisors, whose sum is σ = 216585242496000. Its totient is φ = 14214621560832.

The previous prime is 55694564610029. The next prime is 55694564610077. The reversal of 55694564610048 is 84001646549655.

55694564610048 is a `hidden beast` number, since 5 + 5 + 6 + 9 + 4 + 5 + 6 + 4 + 610 + 0 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2912).

It is a super-2 number, since 2×556945646100482 (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 625781624788 + ... + 625781624876.

Almost surely, 255694564610048 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 55694564610048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108292621248000).

55694564610048 is an abundant number, since it is smaller than the sum of its proper divisors (160890677885952).

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

55694564610048 is an frugal number, since it uses more digits than its factorization.

55694564610048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 55694564610048 in words is "fifty-five trillion, six hundred ninety-four billion, five hundred sixty-four million, six hundred ten thousand, forty-eight".