Search a number
-
+
480654155520 = 2835572114761
BaseRepresentation
bin1101111111010010011…
…10000101111100000000
31200221122121120222200000
412333221032011330000
530333334430434040
61004450502400000
746504025624400
oct6775116057400
91627577528600
10480654155520
11175931816180
12791a2130000
1336430150716
1419399b80800
15c782531130
hex6fe9385f00

480654155520 has 2592 divisors, whose sum is σ = 2271760598016. Its totient is φ = 96148684800.

The previous prime is 480654155507. The next prime is 480654155533. The reversal of 480654155520 is 25551456084.

480654155520 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 541 + 55 + 52 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (480654155507) and next prime (480654155533).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-3 number, since 3×4806541555203 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 7879576290 + ... + 7879576350.

It is an arithmetic number, because the mean of its divisors is an integer number (876450848).

Almost surely, 2480654155520 is an apocalyptic number.

480654155520 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 480654155520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135880299008).

480654155520 is an abundant number, since it is smaller than the sum of its proper divisors (1791106442496).

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

480654155520 is a wasteful number, since it uses less digits than its factorization.

480654155520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 480654155520 in words is "four hundred eighty billion, six hundred fifty-four million, one hundred fifty-five thousand, five hundred twenty".