Search a number
-
+
26655383640564 = 2233731676436701
BaseRepresentation
bin1100000111110001100001…
…01011000101100111110100
310111101020012111221120011000
412003320300223011213310
511443210211202444224
6132405151511043300
75420534153406000
oct603706053054764
9114336174846130
1026655383640564
118547537184958
122ba5baa070530
1311b4790503883
146821ada29700
1531357aeb90c9
hex183e30ac59f4

26655383640564 has 384 divisors, whose sum is σ = 81211511808000. Its totient is φ = 7557318921600.

The previous prime is 26655383640563. The next prime is 26655383640577. The reversal of 26655383640564 is 46504638355662.

26655383640564 is a `hidden beast` number, since 2 + 6 + 6 + 5 + 5 + 3 + 8 + 3 + 64 + 0 + 564 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26655383640563) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3977818414 + ... + 3977825114.

It is an arithmetic number, because the mean of its divisors is an integer number (211488312000).

Almost surely, 226655383640564 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 26655383640564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40605755904000).

26655383640564 is an abundant number, since it is smaller than the sum of its proper divisors (54556128167436).

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

26655383640564 is a wasteful number, since it uses less digits than its factorization.

26655383640564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7545 (or 7523 counting only the distinct ones).

The product of its (nonzero) digits is 373248000, while the sum is 63.

The spelling of 26655383640564 in words is "twenty-six trillion, six hundred fifty-five billion, three hundred eighty-three million, six hundred forty thousand, five hundred sixty-four".