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4366540416 = 273712712791
BaseRepresentation
bin1000001000100010…
…00001111010000000
3102021022102020101010
410010101001322000
532420313243131
62001142040520
7213130660350
oct40421017200
912238366333
104366540416
111940886497
12a1a419140
13547849434
142d5cc8b60
151a8529b46
hex104441e80

4366540416 has 128 divisors (see below), whose sum is σ = 13360988160. Its totient is φ = 1237662720.

The previous prime is 4366540403. The next prime is 4366540421. The reversal of 4366540416 is 6140456634.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×43665404162 = 38133350409122906112, which contains 22 as substring.

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, 334981 + ... + 347771.

It is an arithmetic number, because the mean of its divisors is an integer number (104382720).

Almost surely, 24366540416 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 4366540416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6680494080).

4366540416 is an abundant number, since it is smaller than the sum of its proper divisors (8994447744).

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

4366540416 is a wasteful number, since it uses less digits than its factorization.

4366540416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12942 (or 12930 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

The square root of 4366540416 is about 66079.8033895380. The cubic root of 4366540416 is about 1634.4783088079.

The spelling of 4366540416 in words is "four billion, three hundred sixty-six million, five hundred forty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 127 128 168 192 224 254 336 381 384 448 508 672 762 889 896 1016 1344 1524 1778 2032 2667 2688 3048 3556 4064 5334 6096 7112 8128 10668 12192 12791 14224 16256 21336 24384 25582 28448 38373 42672 48768 51164 56896 76746 85344 89537 102328 113792 153492 170688 179074 204656 268611 306984 341376 358148 409312 537222 613968 716296 818624 1074444 1227936 1432592 1624457 1637248 2148888 2455872 2865184 3248914 4297776 4873371 4911744 5730368 6497828 8595552 9746742 11371199 11460736 12995656 17191104 19493484 22742398 25991312 34113597 34382208 38986968 45484796 51982624 68227194 77973936 90969592 103965248 136454388 155947872 181939184 207930496 272908776 311895744 363878368 545817552 623791488 727756736 1091635104 1455513472 2183270208 4366540416