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2150440512 = 263111018201
BaseRepresentation
bin1000000000101101…
…0001111001000000
312112212102200210220
42000023101321000
513401003044022
6553215223040
7104201304603
oct20013217100
95485380726
102150440512
11a0395a870
12500217a80
1328369b90c
1416585a33a
15c8bcc85c
hex802d1e40

2150440512 has 56 divisors (see below), whose sum is σ = 6206959392. Its totient is φ = 651648000.

The previous prime is 2150440507. The next prime is 2150440531.

2150440512 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506989 + ... + 511212.

Almost surely, 22150440512 is an apocalyptic number.

2150440512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2150440512 is an abundant number, since it is smaller than the sum of its proper divisors (4056518880).

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

2150440512 is a wasteful number, since it uses less digits than its factorization.

2150440512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018227 (or 1018217 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 2150440512 is about 46372.8423972480. The cubic root of 2150440512 is about 1290.7510223269.

The spelling of 2150440512 in words is "two billion, one hundred fifty million, four hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 1018201 2036402 3054603 4072804 6109206 8145608 11200211 12218412 16291216 22400422 24436824 32582432 33600633 44800844 48873648 65164864 67201266 89601688 97747296 134402532 179203376 195494592 268805064 358406752 537610128 716813504 1075220256 2150440512