Search a number
-
+
54226582239060 = 22355711223649801
BaseRepresentation
bin11000101010001100111000…
…01010111111011101010100
321010000000021202022022100000
430111012130022333131110
524101422020023122220
6311155203055051300
714264512154610420
oct1425063412773524
9233000252268300
1054226582239060
1116307400a98570
1260b9584810b30
132434710acb8ca
14d5681b1a1b80
15640857b03390
hex31519c2bf754

54226582239060 has 576 divisors, whose sum is σ = 213624455675904. Its totient is φ = 11217315456000.

The previous prime is 54226582239023. The next prime is 54226582239113. The reversal of 54226582239060 is 6093228562245.

54226582239060 is a `hidden beast` number, since 5 + 4 + 2 + 26 + 582 + 2 + 39 + 0 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 54226582238988 and 54226582239006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 83126160 + ... + 83775960.

It is an arithmetic number, because the mean of its divisors is an integer number (370875791104).

Almost surely, 254226582239060 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 54226582239060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106812227837952).

54226582239060 is an abundant number, since it is smaller than the sum of its proper divisors (159397873436844).

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

54226582239060 is a wasteful number, since it uses less digits than its factorization.

54226582239060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650066 (or 650052 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 54226582239060 in words is "fifty-four trillion, two hundred twenty-six billion, five hundred eighty-two million, two hundred thirty-nine thousand, sixty".