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196858424064 = 2833153156011
BaseRepresentation
bin1011011101010110101…
…1010010101100000000
3200211010101212002111010
42313111223102230000
511211131224032224
6230234023120520
720136222665331
oct2672553225400
9624111762433
10196858424064
117653a4a2755
123219b5a3140
13157434c81c3
149756b84288
1551c2766e29
hex2dd5ad2b00

196858424064 has 144 divisors (see below), whose sum is σ = 551039376384. Its totient is φ = 62304153600.

The previous prime is 196858423967. The next prime is 196858424069. The reversal of 196858424064 is 460424858691.

It is a junction number, because it is equal to n+sod(n) for n = 196858423995 and 196858424013.

It is not an unprimeable number, because it can be changed into a prime (196858424069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1183819 + ... + 1339829.

It is an arithmetic number, because the mean of its divisors is an integer number (3826662336).

Almost surely, 2196858424064 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 196858424064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275519688192).

196858424064 is an abundant number, since it is smaller than the sum of its proper divisors (354180952320).

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

196858424064 is a wasteful number, since it uses less digits than its factorization.

196858424064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156114 (or 156100 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 57.

The spelling of 196858424064 in words is "one hundred ninety-six billion, eight hundred fifty-eight million, four hundred twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 53 62 64 93 96 106 124 128 159 186 192 212 248 256 318 372 384 424 496 636 744 768 848 992 1272 1488 1643 1696 1984 2544 2976 3286 3392 3968 4929 5088 5952 6572 6784 7936 9858 10176 11904 13144 13568 19716 20352 23808 26288 39432 40704 52576 78864 105152 156011 157728 210304 312022 315456 420608 468033 624044 630912 936066 1248088 1261824 1872132 2496176 3744264 4836341 4992352 7488528 8268583 9672682 9984704 14509023 14977056 16537166 19345364 19969408 24805749 29018046 29954112 33074332 38690728 39938816 49611498 58036092 59908224 66148664 77381456 99222996 116072184 119816448 132297328 154762912 198445992 232144368 256326073 264594656 309525824 396891984 464288736 512652146 529189312 619051648 768978219 793783968 928577472 1025304292 1058378624 1238103296 1537956438 1587567936 1857154944 2050608584 2116757248 3075912876 3175135872 3714309888 4101217168 6151825752 6350271744 8202434336 12303651504 16404868672 24607303008 32809737344 49214606016 65619474688 98429212032 196858424064