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196237780128 = 25321352413937
BaseRepresentation
bin1011011011000010101…
…1101110010010100000
3200202112011000010001200
42312300223232102200
511203343332431003
6230052252401200
720114645415645
oct2666053562240
9622464003050
10196237780128
1176251124785
1232047776200
1315674a52080
1496d8585dcc
15518801c6a3
hex2db0aee4a0

196237780128 has 72 divisors (see below), whose sum is σ = 600978213108. Its totient is φ = 60380854272.

The previous prime is 196237780111. The next prime is 196237780133. The reversal of 196237780128 is 821087732691.

It is a happy number.

196237780128 is a `hidden beast` number, since 1 + 9 + 623 + 7 + 7 + 8 + 0 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 189736905744 + 6500874384 = 435588^2 + 80628^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26203225 + ... + 26210712.

Almost surely, 2196237780128 is an apocalyptic number.

196237780128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

196237780128 is an abundant number, since it is smaller than the sum of its proper divisors (404740432980).

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

196237780128 is a wasteful number, since it uses less digits than its factorization.

196237780128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52413966 (or 52413955 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 196237780128 in words is "one hundred ninety-six billion, two hundred thirty-seven million, seven hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 52413937 104827874 157241811 209655748 314483622 419311496 471725433 628967244 681381181 838622992 943450866 1257934488 1362762362 1677245984 1886901732 2044143543 2515868976 2725524724 3773803464 4088287086 5031737952 5451049448 6132430629 7547606928 8176574172 10902098896 12264861258 15095213856 16353148344 21804197792 24529722516 32706296688 49059445032 65412593376 98118890064 196237780128