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2756132136 = 233323599403
BaseRepresentation
bin1010010001000111…
…0011110100101000
321010002011000112000
42210101303310220
521121032212021
61133253251000
7125204510442
oct24421636450
97102130460
102756132136
11119484595a
1264b033a60
1334c00b024
141c2085492
15111e71b26
hexa4473d28

2756132136 has 128 divisors (see below), whose sum is σ = 8125056000. Its totient is φ = 863780544.

The previous prime is 2756132111. The next prime is 2756132147. The reversal of 2756132136 is 6312316572.

2756132136 is a `hidden beast` number, since 2 + 7 + 5 + 613 + 2 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2756132136.

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, 288411 + ... + 297813.

It is an arithmetic number, because the mean of its divisors is an integer number (63477000).

Almost surely, 22756132136 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 2756132136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4062528000).

2756132136 is an abundant number, since it is smaller than the sum of its proper divisors (5368923864).

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

2756132136 is a wasteful number, since it uses less digits than its factorization.

2756132136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9500 (or 9490 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 2756132136 is about 52498.8774737137. The cubic root of 2756132136 is about 1402.0602550546.

The spelling of 2756132136 in words is "two billion, seven hundred fifty-six million, one hundred thirty-two thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 59 69 72 92 108 118 138 177 184 207 216 236 276 354 414 472 531 552 621 708 828 1062 1242 1357 1416 1593 1656 2124 2484 2714 3186 4071 4248 4968 5428 6372 8142 9403 10856 12213 12744 16284 18806 24426 28209 32568 36639 37612 48852 56418 73278 75224 84627 97704 112836 146556 169254 216269 225672 253881 293112 338508 432538 507762 554777 648807 677016 865076 1015524 1109554 1297614 1664331 1730152 1946421 2031048 2219108 2595228 3328662 3892842 4438216 4992993 5190456 5839263 6657324 7785684 9985986 11678526 12759871 13314648 14978979 15571368 19971972 23357052 25519742 29957958 38279613 39943944 46714104 51039484 59915916 76559226 102078968 114838839 119831832 153118452 229677678 306236904 344516517 459355356 689033034 918710712 1378066068 2756132136