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196626079872 = 2732569299969
BaseRepresentation
bin1011011100011111010…
…0111110000010000000
3200210112012122210011200
42313013310332002000
511210142234023442
6230155003141200
720130402050115
oct2670764760200
9623465583150
10196626079872
1176430329062
1232135814800
1315707327c31
149733d8290c
1551ac16e34c
hex2dc7d3e080

196626079872 has 96 divisors (see below), whose sum is σ = 566808313500. Its totient is φ = 65426620416.

The previous prime is 196626079849. The next prime is 196626079877. The reversal of 196626079872 is 278970626691.

196626079872 is a `hidden beast` number, since 19 + 6 + 6 + 2 + 607 + 9 + 8 + 7 + 2 = 666.

196626079872 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 189726451776 + 6899628096 = 435576^2 + 83064^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (196626079877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 505504 + ... + 805472.

Almost surely, 2196626079872 is an apocalyptic number.

196626079872 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 196626079872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283404156750).

196626079872 is an abundant number, since it is smaller than the sum of its proper divisors (370182233628).

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

196626079872 is a wasteful number, since it uses less digits than its factorization.

196626079872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300558 (or 300543 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 196626079872 in words is "one hundred ninety-six billion, six hundred twenty-six million, seventy-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 569 576 1138 1152 1707 2276 3414 4552 5121 6828 9104 10242 13656 18208 20484 27312 36416 40968 54624 72832 81936 109248 163872 218496 299969 327744 599938 655488 899907 1199876 1799814 2399752 2699721 3599628 4799504 5399442 7199256 9599008 10798884 14398512 19198016 21597768 28797024 38396032 43195536 57594048 86391072 115188096 170682361 172782144 341364722 345564288 512047083 682729444 1024094166 1365458888 1536141249 2048188332 2730917776 3072282498 4096376664 5461835552 6144564996 8192753328 10923671104 12289129992 16385506656 21847342208 24578259984 32771013312 49156519968 65542026624 98313039936 196626079872