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2152135024 = 2413233491289
BaseRepresentation
bin1000000001000110…
…1111100101110000
312112222121210020121
42000101233211300
513401421310044
6553315420024
7104221563064
oct20021574560
95488553217
102152135024
11a04907996
125008b4614
13283b42ca0
14165b7baa4
15c8e14984
hex8046f970

2152135024 has 80 divisors (see below), whose sum is σ = 4702824000. Its totient is φ = 946649088.

The previous prime is 2152135003. The next prime is 2152135033. The reversal of 2152135024 is 4205312512.

It is a self number, because there is not a number n which added to its sum of digits gives 2152135024.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1668972 + ... + 1670260.

It is an arithmetic number, because the mean of its divisors is an integer number (58785300).

Almost surely, 22152135024 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 2152135024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351412000).

2152135024 is an abundant number, since it is smaller than the sum of its proper divisors (2550688976).

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

2152135024 is a wasteful number, since it uses less digits than its factorization.

2152135024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 2152135024 is about 46391.1093206446. The cubic root of 2152135024 is about 1291.0899635570.

Adding to 2152135024 its reverse (4205312512), we get a palindrome (6357447536).

The spelling of 2152135024 in words is "two billion, one hundred fifty-two million, one hundred thirty-five thousand, twenty-four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 184 208 299 349 368 598 698 1196 1289 1396 2392 2578 2792 4537 4784 5156 5584 8027 9074 10312 16054 16757 18148 20624 29647 32108 33514 36296 59294 64216 67028 72592 104351 118588 128432 134056 208702 237176 268112 385411 417404 449861 474352 770822 834808 899722 1541644 1669616 1799444 3083288 3598888 5848193 6166576 7197776 10346803 11696386 20693606 23392772 41387212 46785544 82774424 93571088 134508439 165548848 269016878 538033756 1076067512 2152135024