Search a number
-
+
28341893631744 = 2832711172552787
BaseRepresentation
bin1100111000110110111001…
…00000001000111100000000
310201100110101022000221011200
412130123130200020330000
512203323144232203434
6140140030341141200
75653430354661540
oct634333440107400
9121313338027150
1028341893631744
1190378030a1120
123218a229ba800
1312a78241a00b4
146dda7d8d7320
15342387343199
hex19c6dc808f00

28341893631744 has 648 divisors, whose sum is σ = 108226214398848. Its totient is φ = 6928487055360.

The previous prime is 28341893631731. The next prime is 28341893631797. The reversal of 28341893631744 is 44713639814382.

28341893631744 is a `hidden beast` number, since 2 + 8 + 3 + 418 + 93 + 63 + 1 + 74 + 4 = 666.

It is a super-2 number, since 2×283418936317442 (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 nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50994519 + ... + 51547305.

Almost surely, 228341893631744 is an apocalyptic number.

28341893631744 is a gapful number since it is divisible by the number (24) 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 28341893631744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54113107199424).

28341893631744 is an abundant number, since it is smaller than the sum of its proper divisors (79884320767104).

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

28341893631744 is a wasteful number, since it uses less digits than its factorization.

28341893631744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552861 (or 552827 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 28341893631744 in words is "twenty-eight trillion, three hundred forty-one billion, eight hundred ninety-three million, six hundred thirty-one thousand, seven hundred forty-four".