Search a number
-
+
15515052214014 = 235479142946639
BaseRepresentation
bin1110000111000110000100…
…1011010000011011111110
32000221020001122221210100000
43201301201023100123332
54013144311331322024
652555303330015130
73160632312604023
oct341614113203376
960836048853300
1015515052214014
114a41995553171
1218a6b077174a6
138870a8968662
143b8d0ac3154a
151bd8ae972cc9
hexe1c612d06fe

15515052214014 has 96 divisors (see below), whose sum is σ = 34958956032000. Its totient is φ = 5157165119904.

The previous prime is 15515052214003. The next prime is 15515052214073. The reversal of 15515052214014 is 41041225051551.

15515052214014 is a `hidden beast` number, since 1 + 5 + 5 + 1 + 505 + 2 + 2 + 140 + 1 + 4 = 666.

15515052214014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 15515052214014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 332639307 + ... + 332685945.

It is an arithmetic number, because the mean of its divisors is an integer number (364155792000).

Almost surely, 215515052214014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15515052214014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17479478016000).

15515052214014 is an abundant number, since it is smaller than the sum of its proper divisors (19443903817986).

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

15515052214014 is a wasteful number, since it uses less digits than its factorization.

15515052214014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48564 (or 48552 counting only the distinct ones).

The product of its (nonzero) digits is 40000, while the sum is 36.

Adding to 15515052214014 its reverse (41041225051551), we get a palindrome (56556277265565).

The spelling of 15515052214014 in words is "fifteen trillion, five hundred fifteen billion, fifty-two million, two hundred fourteen thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 479 486 958 1429 1437 2858 2874 4287 4311 8574 8622 12861 12933 25722 25866 38583 38799 46639 77166 77598 93278 115749 116397 139917 231498 232794 279834 347247 419751 684491 694494 839502 1259253 1368982 2053473 2518506 3777759 4106946 6160419 7555518 11333277 12320838 18481257 22340081 22666554 36962514 44680162 55443771 66647131 67020243 110887542 133294262 134040486 166331313 199941393 201060729 332662626 399882786 402121458 599824179 603182187 1199648358 1206364374 1799472537 1809546561 3598945074 3619093122 5398417611 5428639683 10796835222 10857279366 16195252833 31923975749 32390505666 63847951498 95771927247 191543854494 287315781741 574631563482 861947345223 1723894690446 2585842035669 5171684071338 7757526107007 15515052214014