Search a number
-
+
196490433552 = 24372109766439
BaseRepresentation
bin1011011011111110111…
…1100001010000010000
3200210011202102020101220
42312333233201100100
511204403022333202
6230133315525040
720124134061600
oct2667757412020
9623152366356
10196490433552
11763707aaa66
12320b82b9780
13156b51b343a
14971dd52c00
1551a02c7abc
hex2dbfbe1410

196490433552 has 120 divisors (see below), whose sum is σ = 595891771200. Its totient is φ = 55625004288.

The previous prime is 196490433533. The next prime is 196490433577. The reversal of 196490433552 is 255334094691.

It is a junction number, because it is equal to n+sod(n) for n = 196490433495 and 196490433504.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126852 + ... + 639587.

It is an arithmetic number, because the mean of its divisors is an integer number (4965764760).

Almost surely, 2196490433552 is an apocalyptic number.

196490433552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196490433552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297945885600).

196490433552 is an abundant number, since it is smaller than the sum of its proper divisors (399401337648).

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

196490433552 is a wasteful number, since it uses less digits than its factorization.

196490433552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766573 (or 766560 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 51.

The spelling of 196490433552 in words is "one hundred ninety-six billion, four hundred ninety million, four hundred thirty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 109 112 147 168 196 218 294 327 336 392 436 588 654 763 784 872 1176 1308 1526 1744 2289 2352 2616 3052 4578 5232 5341 6104 9156 10682 12208 16023 18312 21364 32046 36624 42728 64092 85456 128184 256368 766439 1532878 2299317 3065756 4598634 5365073 6131512 9197268 10730146 12263024 16095219 18394536 21460292 32190438 36789072 37555511 42920584 64380876 75111022 83541851 85841168 112666533 128761752 150222044 167083702 225333066 250625553 257523504 300444088 334167404 450666132 501251106 584792957 600888176 668334808 901332264 1002502212 1169585914 1336669616 1754378871 1802664528 2005004424 2339171828 3508757742 4010008848 4093550699 4678343656 7017515484 8187101398 9356687312 12280652097 14035030968 16374202796 24561304194 28070061936 32748405592 49122608388 65496811184 98245216776 196490433552