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11672364870 = 234557125237
BaseRepresentation
bin10101101111011101…
…00010011101000110
31010010110121120110000
422313232202131012
5142401111133440
65210123142130
7562152315165
oct126756423506
933113546400
1011672364870
114a4a822541
122319074946
13114030c29a
147ca2d33dc
15484b03730
hex2b7ba2746

11672364870 has 80 divisors (see below), whose sum is σ = 31441904208. Its totient is φ = 3107056320.

The previous prime is 11672364859. The next prime is 11672364929. The reversal of 11672364870 is 7846327611.

11672364870 is a `hidden beast` number, since 1 + 167 + 2 + 3 + 6 + 487 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 449892 + ... + 475128.

Almost surely, 211672364870 is an apocalyptic number.

11672364870 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11672364870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15720952104).

11672364870 is an abundant number, since it is smaller than the sum of its proper divisors (19769539338).

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

11672364870 is a wasteful number, since it uses less digits than its factorization.

11672364870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25827 (or 25818 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 11672364870 in words is "eleven billion, six hundred seventy-two million, three hundred sixty-four thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 571 810 1142 1713 2855 3426 5139 5710 8565 10278 15417 17130 25237 25695 30834 46251 50474 51390 75711 77085 92502 126185 151422 154170 227133 231255 252370 378555 454266 462510 681399 757110 1135665 1362798 2044197 2271330 3406995 4088394 6813990 10220985 14410327 20441970 28820654 43230981 72051635 86461962 129692943 144103270 216154905 259385886 389078829 432309810 648464715 778157658 1167236487 1296929430 1945394145 2334472974 3890788290 5836182435 11672364870