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2145559104 = 26341323179
BaseRepresentation
bin111111111100010…
…1010001001000000
312112112020200210000
41333320222021000
513343230342404
6552522440000
7104111644233
oct17770521100
95475220700
102145559104
11a01126347
124ba663000
1328267cb00
14164d4941a
15c8566339
hex7fe2a240

2145559104 has 420 divisors, whose sum is σ = 7199132160. Its totient is φ = 630789120.

The previous prime is 2145559093. The next prime is 2145559109. The reversal of 2145559104 is 4019555412.

2145559104 is a `hidden beast` number, since 2 + 14 + 55 + 591 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2145559109) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27158937 + ... + 27159015.

Almost surely, 22145559104 is an apocalyptic number.

2145559104 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 2145559104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3599566080).

2145559104 is an abundant number, since it is smaller than the sum of its proper divisors (5053573056).

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

2145559104 is a wasteful number, since it uses less digits than its factorization.

2145559104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 2145559104 is about 46320.1803105299. The cubic root of 2145559104 is about 1289.7736325349.

The spelling of 2145559104 in words is "two billion, one hundred forty-five million, five hundred fifty-nine thousand, one hundred four".