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1264536768 = 263111035813
BaseRepresentation
bin100101101011111…
…0100110011000000
310021010110010100010
41023113310303000
510042210134033
6325251224520
743223246055
oct11327646300
93233403303
101264536768
11599886210
122b35a8140
13171c9c411
14bdd2d02c
1576037863
hex4b5f4cc0

1264536768 has 112 divisors (see below), whose sum is σ = 3685982976. Its totient is φ = 379407360.

The previous prime is 1264536727. The next prime is 1264536781. The reversal of 1264536768 is 8676354621.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214630 + ... + 220442.

Almost surely, 21264536768 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 1264536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842991488).

1264536768 is an abundant number, since it is smaller than the sum of its proper divisors (2421446208).

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

1264536768 is a wasteful number, since it uses less digits than its factorization.

1264536768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5932 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 1264536768 is about 35560.3257577880. The cubic root of 1264536768 is about 1081.3770637180.

The spelling of 1264536768 in words is "one billion, two hundred sixty-four million, five hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 103 132 176 192 206 264 309 352 412 528 618 704 824 1056 1133 1236 1648 2112 2266 2472 3296 3399 4532 4944 5813 6592 6798 9064 9888 11626 13596 17439 18128 19776 23252 27192 34878 36256 46504 54384 63943 69756 72512 93008 108768 127886 139512 186016 191829 217536 255772 279024 372032 383658 511544 558048 598739 767316 1023088 1116096 1197478 1534632 1796217 2046176 2394956 3069264 3592434 4092352 4789912 6138528 6586129 7184868 9579824 12277056 13172258 14369736 19159648 19758387 26344516 28739472 38319296 39516774 52689032 57478944 79033548 105378064 114957888 158067096 210756128 316134192 421512256 632268384 1264536768