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2152105152 = 26315174231
BaseRepresentation
bin1000000001000110…
…1000010011000000
312112222120021021020
42000101220103000
513401414331102
6553315025440
7104221410021
oct20021502300
95488507236
102152105152
11a048974aa
1250089b280
13283b32502
14165b70c48
15c8e0abbc
hex804684c0

2152105152 has 56 divisors (see below), whose sum is σ = 5731898112. Its totient is φ = 712608000.

The previous prime is 2152105141. The next prime is 2152105159. The reversal of 2152105152 is 2515012512.

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

It is not an unprimeable number, because it can be changed into a prime (2152105159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8124 + ... + 66107.

Almost surely, 22152105152 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 2152105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2865949056).

2152105152 is an abundant number, since it is smaller than the sum of its proper divisors (3579792960).

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

2152105152 is a wasteful number, since it uses less digits than its factorization.

2152105152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74397 (or 74387 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 2152105152 is about 46390.7873612854. The cubic root of 2152105152 is about 1291.0839900133.

Adding to 2152105152 its reverse (2515012512), we get a palindrome (4667117664).

The spelling of 2152105152 in words is "two billion, one hundred fifty-two million, one hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 151 192 302 453 604 906 1208 1812 2416 3624 4832 7248 9664 14496 28992 74231 148462 222693 296924 445386 593848 890772 1187696 1781544 2375392 3563088 4750784 7126176 11208881 14252352 22417762 33626643 44835524 67253286 89671048 134506572 179342096 269013144 358684192 538026288 717368384 1076052576 2152105152