Search a number
-
+
155232321354 = 232118920834229
BaseRepresentation
bin1001000010010010010…
…0010011111101001010
3112211200101222222102100
42100210210103331022
510020403433240404
6155151315214230
714133541650315
oct2204444237512
9484611888370
10155232321354
115a919664680
1226102ba7376
131183b5a0ab6
14772864997c
154088126d39
hex2424913f4a

155232321354 has 96 divisors (see below), whose sum is σ = 371301278400. Its totient is φ = 46478234880.

The previous prime is 155232321317. The next prime is 155232321379. The reversal of 155232321354 is 453123232551.

155232321354 is a `hidden beast` number, since 1 + 55 + 23 + 232 + 1 + 354 = 666.

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, 36704512 + ... + 36708740.

It is an arithmetic number, because the mean of its divisors is an integer number (3867721650).

Almost surely, 2155232321354 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155232321354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185650639200).

155232321354 is an abundant number, since it is smaller than the sum of its proper divisors (216068957046).

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

155232321354 is a wasteful number, since it uses less digits than its factorization.

155232321354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6420 (or 6417 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The spelling of 155232321354 in words is "one hundred fifty-five billion, two hundred thirty-two million, three hundred twenty-one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 89 99 178 198 267 534 801 979 1602 1958 2083 2937 4166 4229 5874 6249 8458 8811 12498 12687 17622 18747 22913 25374 37494 38061 45826 46519 68739 76122 93038 137478 139557 185387 206217 279114 370774 376381 412434 418671 556161 752762 837342 1112322 1129143 1668483 2039257 2258286 3336966 3387429 4078514 4140191 6117771 6774858 8280382 8809007 12235542 12420573 17618014 18353313 24841146 26427021 36706626 37261719 52854042 74523438 79281063 96899077 158562126 193798154 290697231 581394462 784001623 872091693 1568003246 1744183386 2352004869 4704009738 7056014607 8624017853 14112029214 17248035706 25872053559 51744107118 77616160677 155232321354