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132116563464 = 233471134912111
BaseRepresentation
bin111101100001011000…
…0101100011000001000
3110122000102121210212020
41323002300230120020
54131033320012324
6140405444244440
712354654155214
oct1730260543010
9418012553766
10132116563464
11510373a0636
12217316a0720
13c5c6541852
146574627944
153683a9d679
hex1ec2c2c608

132116563464 has 128 divisors (see below), whose sum is σ = 341158625280. Its totient is φ = 42613222400.

The previous prime is 132116563463. The next prime is 132116563519. The reversal of 132116563464 is 464365611231.

It is a happy number.

132116563464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132116563463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62583769 + ... + 62585879.

It is an arithmetic number, because the mean of its divisors is an integer number (2665301760).

Almost surely, 2132116563464 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 132116563464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170579312640).

132116563464 is an abundant number, since it is smaller than the sum of its proper divisors (209042061816).

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

132116563464 is a wasteful number, since it uses less digits than its factorization.

132116563464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2767 counting only the distinct ones).

The product of its digits is 311040, while the sum is 42.

The spelling of 132116563464 in words is "one hundred thirty-two billion, one hundred sixteen million, five hundred sixty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 47 94 113 141 188 226 282 339 376 452 491 564 678 904 982 1128 1356 1473 1964 2111 2712 2946 3928 4222 5311 5892 6333 8444 10622 11784 12666 15933 16888 21244 23077 25332 31866 42488 46154 50664 55483 63732 69231 92308 99217 110966 127464 138462 166449 184616 198434 221932 238543 276924 297651 332898 396868 443864 477086 553848 595302 665796 715629 793736 954172 1036501 1190604 1331592 1431258 1908344 2073002 2381208 2607701 2862516 3109503 4146004 5215402 5725032 6219006 7823103 8292008 10430804 11211521 12438012 15646206 20861608 22423042 24876024 31292412 33634563 44846084 48715547 62584824 67269126 89692168 97431094 117124613 134538252 146146641 194862188 234249226 269076504 292293282 351373839 389724376 468498452 584586564 702747678 936996904 1169173128 1405495356 2810990712 5504856811 11009713622 16514570433 22019427244 33029140866 44038854488 66058281732 132116563464