Search a number
-
+
135301801005436 = 221317367431967627
BaseRepresentation
bin11110110000111001100111…
…110010010101000101111100
3122202001201121010221222221011
4132300321213302111011330
5120213241042024133221
61155432442253245004
740333142521532062
oct3660714762250574
9582051533858834
10135301801005436
113a1251983a202a
121321248b493764
135a65b9c62a930
14255a8dbd42032
15109979c6301e1
hex7b0e67c9517c

135301801005436 has 96 divisors (see below), whose sum is σ = 271355465428992. Its totient is φ = 58477432273920.

The previous prime is 135301801005421. The next prime is 135301801005443. The reversal of 135301801005436 is 634500108103531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139344655 + ... + 140312281.

It is an arithmetic number, because the mean of its divisors is an integer number (2826619431552).

Almost surely, 2135301801005436 is an apocalyptic number.

It is an amenable number.

135301801005436 is an abundant number, since it is smaller than the sum of its proper divisors (136053664423556).

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

135301801005436 is a wasteful number, since it uses less digits than its factorization.

135301801005436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968459 (or 968457 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 40.

Adding to 135301801005436 its reverse (634500108103531), we get a palindrome (769801909108967).

The spelling of 135301801005436 in words is "one hundred thirty-five trillion, three hundred one billion, eight hundred one million, five thousand, four hundred thirty-six".

Divisors: 1 2 4 13 17 26 34 52 68 221 367 431 442 734 862 884 1468 1724 4771 5603 6239 7327 9542 11206 12478 14654 19084 22412 24956 29308 81107 95251 158177 162214 190502 316354 324428 381004 632708 967627 1935254 2056301 2689009 3870508 4112602 5378018 8225204 10756036 12579151 16449659 25158302 32899318 34957117 50316604 65798636 69914234 139828468 213845567 355119109 417047237 427691134 710238218 834094474 855382268 1420476436 1668188948 4616548417 5421614081 6037024853 7089803029 9233096834 10843228162 12074049706 14179606058 18466193668 21686456324 24148099412 28359212116 78481323089 92167439377 153056335979 156962646178 184334878754 306112671958 313925292356 368669757508 612225343916 1989732367727 2601957711643 3979464735454 5203915423286 7958929470908 10407830846572 33825450251359 67650900502718 135301801005436