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194778328140 = 2232511235141843
BaseRepresentation
bin1011010101100110110…
…0010110110001001100
3200121202102210021022100
42311121230112301030
511142401223000030
6225251355315100
720033534320614
oct2653154266114
9617672707270
10194778328140
1175672319910
12318baa4ba90
13154a1588c06
1495da7d9a44
1550eed32360
hex2d59b16c4c

194778328140 has 144 divisors (see below), whose sum is σ = 644828760576. Its totient is φ = 47197776000.

The previous prime is 194778328139. The next prime is 194778328141. The reversal of 194778328140 is 41823877491.

194778328140 is a `hidden beast` number, since 1 + 9 + 477 + 8 + 3 + 28 + 140 = 666.

194778328140 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 (194778328139) and next prime (194778328141).

It is a super-2 number, since 2×1947783281402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (194778328141) 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 47 ways as a sum of consecutive naturals, for example, 4634059 + ... + 4675901.

It is an arithmetic number, because the mean of its divisors is an integer number (4477977504).

Almost surely, 2194778328140 is an apocalyptic number.

194778328140 is a gapful number since it is divisible by the number (10) 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 194778328140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322414380288).

194778328140 is an abundant number, since it is smaller than the sum of its proper divisors (450050432436).

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

194778328140 is a wasteful number, since it uses less digits than its factorization.

194778328140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44220 (or 44215 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 194778328140 in words is "one hundred ninety-four billion, seven hundred seventy-eight million, three hundred twenty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 2351 4702 7053 9404 11755 14106 21159 23510 25861 28212 35265 41843 42318 47020 51722 70530 77583 83686 84636 103444 105795 125529 129305 141060 155166 167372 209215 211590 232749 251058 258610 310332 376587 387915 418430 423180 460273 465498 502116 517220 627645 753174 775830 836860 920546 930996 1163745 1255290 1380819 1506348 1551660 1841092 1882935 2301365 2327490 2510580 2761638 3765870 4142457 4602730 4654980 5523276 6904095 7531740 8284914 9205460 13808190 16569828 20712285 27616380 41424570 82849140 98372893 196745786 295118679 393491572 491864465 590237358 885356037 983728930 1082101823 1180474716 1475593395 1770712074 1967457860 2164203646 2951186790 3246305469 3541424148 4328407292 4426780185 5410509115 5902373580 6492610938 8853560370 9738916407 10821018230 12985221876 16231527345 17707120740 19477832814 21642036460 32463054690 38955665628 48694582035 64926109380 97389164070 194778328140