Search a number
-
+
54328601387520 = 293454122728151
BaseRepresentation
bin11000101101001010111001…
…11111001010001000000000
321010100202121122100000120000
430112211130333022020000
524110104433423400040
6311314114231320000
714305053250222215
oct1426453477121000
9233322548300500
1054328601387520
11163466a31597a9
1261152b6820000
13244121ba2b345
14d5b738463b0c
15643329234130
hex31695cfca200

54328601387520 has 800 divisors, whose sum is σ = 200219164903296. Its totient is φ = 14071504896000.

The previous prime is 54328601387497. The next prime is 54328601387549. The reversal of 54328601387520 is 2578310682345.

54328601387520 is a `hidden beast` number, since 5 + 4 + 3 + 2 + 8 + 601 + 3 + 8 + 7 + 5 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1929885445 + ... + 1929913595.

Almost surely, 254328601387520 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 54328601387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100109582451648).

54328601387520 is an abundant number, since it is smaller than the sum of its proper divisors (145890563515776).

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

54328601387520 is a wasteful number, since it uses less digits than its factorization.

54328601387520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28454 (or 28429 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 54328601387520 in words is "fifty-four trillion, three hundred twenty-eight billion, six hundred one million, three hundred eighty-seven thousand, five hundred twenty".