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196471780704 = 25326183134741
BaseRepresentation
bin1011011011111010100…
…0010111010101100000
3200210010110022120111200
42312332220113111200
511204333233440304
6230131412041200
720123516403243
oct2667650272540
9623113276450
10196471780704
117636121a891
12320b2003200
13156b1382254
14971b69925a
15519d840e39
hex2dbea17560

196471780704 has 144 divisors (see below), whose sum is σ = 574722059184. Its totient is φ = 63640396800.

The previous prime is 196471780657. The next prime is 196471780711. The reversal of 196471780704 is 407087174691.

It is a happy number.

196471780704 is a `hidden beast` number, since 1 + 96 + 471 + 7 + 80 + 7 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1964717807042 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 1390774 + ... + 1525514.

It is an arithmetic number, because the mean of its divisors is an integer number (3991125411).

Almost surely, 2196471780704 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 196471780704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287361029592).

196471780704 is an abundant number, since it is smaller than the sum of its proper divisors (378250278480).

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

196471780704 is a wasteful number, since it uses less digits than its factorization.

196471780704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134901 (or 134890 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 196471780704 in words is "one hundred ninety-six billion, four hundred seventy-one million, seven hundred eighty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 72 83 96 122 144 166 183 244 249 288 332 366 488 498 549 664 732 747 976 996 1098 1328 1464 1494 1952 1992 2196 2656 2928 2988 3984 4392 5063 5856 5976 7968 8784 10126 11952 15189 17568 20252 23904 30378 40504 45567 60756 81008 91134 121512 134741 162016 182268 243024 269482 364536 404223 486048 538964 729072 808446 1077928 1212669 1458144 1616892 2155856 2425338 3233784 4311712 4850676 6467568 8219201 9701352 11183503 12935136 16438402 19402704 22367006 24657603 32876804 33550509 38805408 44734012 49315206 65753608 67101018 73972809 89468024 98630412 100651527 131507216 134202036 147945618 178936048 197260824 201303054 263014432 268404072 295891236 357872096 394521648 402606108 536808144 591782472 682193683 789043296 805212216 1073616288 1183564944 1364387366 1610424432 2046581049 2367129888 2728774732 3220848864 4093162098 5457549464 6139743147 8186324196 10915098928 12279486294 16372648392 21830197856 24558972588 32745296784 49117945176 65490593568 98235890352 196471780704