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2135616364 = 227172412157
BaseRepresentation
bin111111101001010…
…1110101101101100
312111211112112220101
41333102232231230
513333204210424
6551525400444
7103631303530
oct17722565554
95454475811
102135616364
119a6555202
124b7269124
132805ab32b
141638bbbc0
15c7750344
hex7f4aeb6c

2135616364 has 108 divisors (see below), whose sum is σ = 4680246928. Its totient is φ = 835061760.

The previous prime is 2135616361. The next prime is 2135616391. The reversal of 2135616364 is 4636165312.

It is a super-4 number, since 4×21356163644 (a number of 38 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (2135616361) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13602574 + ... + 13602730.

Almost surely, 22135616364 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 2135616364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340123464).

2135616364 is an abundant number, since it is smaller than the sum of its proper divisors (2544630564).

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

2135616364 is a wasteful number, since it uses less digits than its factorization.

2135616364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 224 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 2135616364 is about 46212.7294584512. The cubic root of 2135616364 is about 1287.7782328149.

The spelling of 2135616364 in words is "two billion, one hundred thirty-five million, six hundred sixteen thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 17 28 34 41 68 82 119 157 164 238 287 289 314 476 574 578 628 697 1099 1148 1156 1394 1681 2023 2198 2669 2788 3362 4046 4396 4879 5338 6437 6724 8092 9758 10676 11767 11849 12874 18683 19516 23534 23698 25748 28577 37366 45059 45373 47068 47396 57154 74732 82943 90118 90746 109429 114308 165886 180236 181492 200039 218858 263917 317611 331772 400078 437716 485809 527834 635222 766003 800156 971618 1055668 1270444 1532006 1847419 1860293 1943236 3064012 3400663 3694838 3720586 4486589 6801326 7389676 7441172 8973178 13022051 13602652 17946356 26044102 31406123 52088204 62812246 76272013 125624492 152544026 305088052 533904091 1067808182 2135616364