Search a number
-
+
15194679550314 = 23112347503423403
BaseRepresentation
bin1101110100011100100101…
…1110100010000101101010
31222210121010100021012211220
43131013021132202011222
53442422200431102224
652152201152002510
73125531216105355
oct335071136420552
958717110235756
1015194679550314
114929033533120
1218549b7530436
13862b101a2274
143a75d811b29c
151b53ad984279
hexdd1c97a216a

15194679550314 has 128 divisors (see below), whose sum is σ = 35399771947008. Its totient is φ = 4301967552960.

The previous prime is 15194679550247. The next prime is 15194679550319. The reversal of 15194679550314 is 41305597649151.

15194679550314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151946795503142 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15194679550319) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35675337 + ... + 36098739.

It is an arithmetic number, because the mean of its divisors is an integer number (276560718336).

Almost surely, 215194679550314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15194679550314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17699885973504).

15194679550314 is an abundant number, since it is smaller than the sum of its proper divisors (20205092396694).

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

15194679550314 is a wasteful number, since it uses less digits than its factorization.

15194679550314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423992.

The product of its (nonzero) digits is 20412000, while the sum is 60.

The spelling of 15194679550314 in words is "fifteen trillion, one hundred ninety-four billion, six hundred seventy-nine million, five hundred fifty thousand, three hundred fourteen".

Divisors: 1 2 3 6 11 22 23 33 46 47 66 69 94 138 141 253 282 503 506 517 759 1006 1034 1081 1509 1518 1551 2162 3018 3102 3243 5533 6486 11066 11569 11891 16599 23138 23641 23782 33198 34707 35673 47282 69414 70923 71346 127259 141846 254518 260051 381777 423403 520102 543743 763554 780153 846806 1087486 1270209 1560306 1631229 2540418 3262458 4657433 5981173 9314866 9738269 11962346 13972299 17943519 19476538 19899941 27944598 29214807 35887038 39799882 58429614 59699823 107120959 119399646 212971709 214241918 218899351 321362877 425943418 437798702 457698643 638915127 642725754 656698053 915397286 1277830254 1313396106 1373095929 2342688799 2746191858 4685377598 4898349307 5034685073 7028066397 9796698614 10009670323 10069370146 14056132794 14695047921 15104055219 20019340646 29390095842 30029010969 30208110438 53881842377 60058021938 107763684754 110106373553 161645527131 220212747106 230222417429 323291054262 330319120659 460444834858 660638241318 690667252287 1381334504574 2532446591719 5064893183438 7597339775157 15194679550314