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185382749940 = 2235223262131
BaseRepresentation
bin1010110010100110101…
…1000100011011110100
3122201111122100110000120
42230221223010123310
511014130440444230
6221055203411540
716251646242423
oct2545153043364
9581448313016
10185382749940
1171690802953
122bb18383bb0
1314634b84b9b
148d88a512ba
154c50067310
hex2b29ac46f4

185382749940 has 72 divisors (see below), whose sum is σ = 521418205728. Its totient is φ = 49212924480.

The previous prime is 185382749933. The next prime is 185382749947. The reversal of 185382749940 is 49947283581.

185382749940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (185382749933) and next prime (185382749947).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (185382749947) 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 23 ways as a sum of consecutive naturals, for example, 2952675 + ... + 3014805.

It is an arithmetic number, because the mean of its divisors is an integer number (7241919524).

Almost surely, 2185382749940 is an apocalyptic number.

185382749940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

185382749940 is an abundant number, since it is smaller than the sum of its proper divisors (336035455788).

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

185382749940 is a wasteful number, since it uses less digits than its factorization.

185382749940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62589 (or 62364 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 60.

The spelling of 185382749940 in words is "one hundred eighty-five billion, three hundred eighty-two million, seven hundred forty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 223 446 669 892 1115 1338 2230 2676 3345 4460 6690 13380 49729 62131 99458 124262 149187 186393 198916 248524 248645 298374 310655 372786 497290 596748 621310 745572 745935 931965 994580 1242620 1491870 1863930 2983740 3727860 13855213 27710426 41565639 55420852 69276065 83131278 138552130 166262556 207828195 277104260 415656390 831312780 3089712499 6179424998 9269137497 12358849996 15448562495 18538274994 30897124990 37076549988 46345687485 61794249980 92691374970 185382749940