Search a number
-
+
45481120272000 = 273653721731151
BaseRepresentation
bin10100101011101011001100…
…00001001000111010000000
312222000221201110201022000000
422111311212001020322000
521430130313242201000
6240421423242000000
712402621362455500
oct1225654601107200
9188027643638000
1045481120272000
1113545486780a36
1251266671a6000
131c4bb0b22c9ba
14b33425897a00
1553d105843000
hex295d66048e80

45481120272000 has 5376 divisors, whose sum is σ = 216983079106560. Its totient is φ = 9405849600000.

The previous prime is 45481120271999. The next prime is 45481120272001. The reversal of 45481120272000 is 27202118454.

45481120272000 is a `hidden beast` number, since 454 + 81 + 120 + 2 + 7 + 2 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45481120271999) and next prime (45481120272001).

It is a super-2 number, since 2×454811202720002 (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45481120272001) by changing a digit.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 301199471925 + ... + 301199472075.

Almost surely, 245481120272000 is an apocalyptic number.

45481120272000 is a gapful number since it is divisible by the number (40) 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 45481120272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108491539553280).

45481120272000 is an abundant number, since it is smaller than the sum of its proper divisors (171501958834560).

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

45481120272000 is a wasteful number, since it uses less digits than its factorization.

45481120272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The spelling of 45481120272000 in words is "forty-five trillion, four hundred eighty-one billion, one hundred twenty million, two hundred seventy-two thousand".