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2531531064 = 23317231012671
BaseRepresentation
bin1001011011100100…
…0001100100111000
320112102112002202210
42112321001210320
520141032443224
61055111255120
7116506442016
oct22671014470
96472462683
102531531064
111089a8a837
125a797a4a0
1331461c29a
141a02db8b6
15ec3a8429
hex96e41938

2531531064 has 128 divisors (see below), whose sum is σ = 7064340480. Its totient is φ = 751872000.

The previous prime is 2531531039. The next prime is 2531531077. The reversal of 2531531064 is 4601351352.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 946449 + ... + 949119.

It is an arithmetic number, because the mean of its divisors is an integer number (55190160).

Almost surely, 22531531064 is an apocalyptic number.

2531531064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2531531064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532170240).

2531531064 is an abundant number, since it is smaller than the sum of its proper divisors (4532809416).

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

2531531064 is a wasteful number, since it uses less digits than its factorization.

2531531064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2821 (or 2817 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 2531531064 is about 50314.3226527000. The cubic root of 2531531064 is about 1362.8908849481.

The spelling of 2531531064 in words is "two billion, five hundred thirty-one million, five hundred thirty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 101 102 136 138 184 202 204 276 303 391 404 408 552 606 782 808 1173 1212 1564 1717 2323 2346 2424 2671 3128 3434 4646 4692 5151 5342 6868 6969 8013 9292 9384 10302 10684 13736 13938 16026 18584 20604 21368 27876 32052 39491 41208 45407 55752 61433 64104 78982 90814 118473 122866 136221 157964 181628 184299 236946 245732 269771 272442 315928 363256 368598 473892 491464 539542 544884 737196 809313 947784 1044361 1079084 1089768 1474392 1618626 2088722 2158168 3133083 3237252 4177444 4586107 6204733 6266166 6474504 8354888 9172214 12409466 12532332 13758321 18344428 18614199 24818932 25064664 27516642 36688856 37228398 49637864 55033284 74456796 105480461 110066568 148913592 210960922 316441383 421921844 632882766 843843688 1265765532 2531531064