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40052766260 = 225132339716871
BaseRepresentation
bin100101010011010101…
…001011011000110100
310211101100100100012102
4211103111023120310
51124012002010020
630222221441232
72615354616203
oct452325133064
9124340310172
1040052766260
1115a93819121
127919710218
133a13c98ac0
141d1d5c523a
15109645b475
hex95354b634

40052766260 has 96 divisors (see below), whose sum is σ = 94762870272. Its totient is φ = 14109258240.

The previous prime is 40052766253. The next prime is 40052766269. The reversal of 40052766260 is 6266725004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40052766269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2365625 + ... + 2382495.

It is an arithmetic number, because the mean of its divisors is an integer number (987113232).

Almost surely, 240052766260 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 40052766260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47381435136).

40052766260 is an abundant number, since it is smaller than the sum of its proper divisors (54710104012).

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

40052766260 is a wasteful number, since it uses less digits than its factorization.

40052766260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17313 (or 17311 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 40052766260 in words is "forty billion, fifty-two million, seven hundred sixty-six thousand, two hundred sixty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 397 460 598 794 1196 1495 1588 1985 2990 3970 5161 5980 7940 9131 10322 16871 18262 20644 25805 33742 36524 45655 51610 67484 84355 91310 103220 118703 168710 182620 219323 237406 337420 388033 438646 474812 593515 776066 877292 1096615 1187030 1552132 1940165 2193230 2374060 3880330 4386460 5044429 6697787 7760660 10088858 13395574 20177716 25222145 26791148 33488935 50444290 66977870 87071231 100888580 133955740 154049101 174142462 308098202 348284924 435356155 616196404 770245505 870712310 1540491010 1741424620 2002638313 3080982020 4005276626 8010553252 10013191565 20026383130 40052766260