Search a number
-
+
260142616156016 = 24112794703361663
BaseRepresentation
bin111011001001100100101100…
…001110100001011101110000
31021010002101120012110221200002
4323021210230032201131300
5233044134034213443031
62321135511255045132
7105536453352632456
oct7311445416413560
91233071505427602
10260142616156016
1175986955a09300
122521546b9707a8
13b22046070ab69
144834d811d49d6
152011d8e385ccb
hexec992c3a1770

260142616156016 has 120 divisors (see below), whose sum is σ = 561146057687040. Its totient is φ = 116724703455360.

The previous prime is 260142616156013. The next prime is 260142616156043. The reversal of 260142616156016 is 610651616241062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260142616156013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 719114801 + ... + 719476463.

It is an arithmetic number, because the mean of its divisors is an integer number (4676217147392).

Almost surely, 2260142616156016 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 260142616156016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280573028843520).

260142616156016 is an abundant number, since it is smaller than the sum of its proper divisors (301003441531024).

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

260142616156016 is a wasteful number, since it uses less digits than its factorization.

260142616156016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366475 (or 366458 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 47.

The spelling of 260142616156016 in words is "two hundred sixty trillion, one hundred forty-two billion, six hundred sixteen million, one hundred fifty-six thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 44 79 88 121 158 176 242 316 484 632 869 968 1264 1738 1936 3476 4703 6952 9406 9559 13904 18812 19118 37624 38236 51733 75248 76472 103466 152944 206932 361663 371537 413864 569063 723326 743074 827728 1138126 1446652 1486148 2276252 2893304 2972296 3978293 4086907 4552504 5786608 5944592 7956586 8173814 9105008 15913172 16347628 28571377 31826344 32695256 43761223 44955977 57142754 63652688 65390512 87522446 89911954 114285508 175044892 179823908 228571016 314285147 350089784 359647816 457142032 628570294 700179568 719295632 1257140588 1700901089 2514281176 3401802178 3457136617 5028562352 6803604356 6914273234 13607208712 13828546468 18709911979 27214417424 27657092936 37419823958 55314185872 74839647916 134371186031 149679295832 205809031769 268742372062 299358591664 411618063538 537484744124 823236127076 1074969488248 1478083046341 1646472254152 2149938976496 2956166092682 3292944508304 5912332185364 11824664370728 16258913509751 23649328741456 32517827019502 65035654039004 130071308078008 260142616156016