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2050135512 = 233294995903
BaseRepresentation
bin111101000110010…
…1001010111011000
312021212200200012220
41322030221113120
513144313314022
6535233304040
7101542602315
oct17214512730
95255620186
102050135512
11962280177
12492705020
1326897c349
141563c9d0c
15beeb785c
hex7a3295d8

2050135512 has 64 divisors (see below), whose sum is σ = 5313600000. Its totient is φ = 658379904.

The previous prime is 2050135499. The next prime is 2050135513. The reversal of 2050135512 is 2155310502.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2050135513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344353 + ... + 350255.

It is an arithmetic number, because the mean of its divisors is an integer number (83025000).

Almost surely, 22050135512 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 2050135512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656800000).

2050135512 is an abundant number, since it is smaller than the sum of its proper divisors (3263464488).

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

2050135512 is a wasteful number, since it uses less digits than its factorization.

2050135512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6440 (or 6436 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 2050135512 is about 45278.4221456534. The cubic root of 2050135512 is about 1270.3620832962.

The spelling of 2050135512 in words is "two billion, fifty million, one hundred thirty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 499 696 998 1497 1996 2994 3992 5903 5988 11806 11976 14471 17709 23612 28942 35418 43413 47224 57884 70836 86826 115768 141672 171187 173652 342374 347304 513561 684748 1027122 1369496 2054244 2945597 4108488 5891194 8836791 11782388 17673582 23564776 35347164 70694328 85422313 170844626 256266939 341689252 512533878 683378504 1025067756 2050135512