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196028877642 = 231331794312381
BaseRepresentation
bin1011011010010000111…
…0110100101101001010
3200201222120220202201120
42312210032310231022
511202431343041032
6230015431100110
720106530652543
oct2664416645512
9621876822646
10196028877642
11761542111a4
1231ba9811636
131564069b930
1496b89274ca
155174a0562c
hex2da43b4b4a

196028877642 has 128 divisors (see below), whose sum is σ = 442562641920. Its totient is φ = 57474144000.

The previous prime is 196028877641. The next prime is 196028877679. The reversal of 196028877642 is 246778820691.

It is a happy number.

196028877642 is digitally balanced in base 2, 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 (196028877641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82329292 + ... + 82331672.

It is an arithmetic number, because the mean of its divisors is an integer number (3457520640).

Almost surely, 2196028877642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196028877642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221281320960).

196028877642 is an abundant number, since it is smaller than the sum of its proper divisors (246533764278).

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

196028877642 is a wasteful number, since it uses less digits than its factorization.

196028877642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940.

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 196028877642 in words is "one hundred ninety-six billion, twenty-eight million, eight hundred seventy-seven thousand, six hundred forty-two".

Divisors: 1 2 3 6 13 26 31 39 62 78 79 93 158 186 237 403 431 474 806 862 1027 1209 1293 2054 2381 2418 2449 2586 3081 4762 4898 5603 6162 7143 7347 11206 13361 14286 14694 16809 26722 30953 31837 33618 34049 40083 61906 63674 68098 73811 80166 92859 95511 102147 147622 173693 185718 188099 191022 204294 221433 347386 376198 442637 442866 521079 564297 885274 959543 1026211 1042158 1055519 1128594 1327911 1919086 2052422 2111038 2445287 2655822 2878629 3078633 3166557 4890574 5757258 5831069 6157266 6333114 7335861 11662138 13340743 13721747 14671722 17493207 26681486 27443494 31812541 34986414 40022229 41165241 63625082 75803897 80044458 81070669 82330482 95437623 151607794 162141338 190875246 227411691 243212007 413563033 454823382 486424014 827126066 1053918697 1240689099 2107837394 2481378198 2513190739 3161756091 5026381478 6323512182 7539572217 15079144434 32671479607 65342959214 98014438821 196028877642