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151909318134 = 2337275772
BaseRepresentation
bin1000110101111010000…
…0000011110111110110
3112112002211011220222000
42031132200003313312
54442102241140014
6153441451520130
713655311620300
oct2153640036766
9475084156860
10151909318134
1159473939122
1225536159046
131142bcc63c2
1474d11a2970
153e4152d509
hex235e803df6

151909318134 has 72 divisors (see below), whose sum is σ = 392742587880. Its totient is φ = 43396934112.

The previous prime is 151909318129. The next prime is 151909318159. The reversal of 151909318134 is 431813909151.

151909318134 is a `hidden beast` number, since 1 + 519 + 0 + 93 + 18 + 1 + 34 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 151909318134.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20044954 + ... + 20052530.

It is an arithmetic number, because the mean of its divisors is an integer number (5454758165).

Almost surely, 2151909318134 is an apocalyptic number.

151909318134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

151909318134 is an abundant number, since it is smaller than the sum of its proper divisors (240833269746).

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

151909318134 is an frugal number, since it uses more digits than its factorization.

151909318134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15179 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 151909318134 in words is "one hundred fifty-one billion, nine hundred nine million, three hundred eighteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 7577 15154 22731 45462 53039 68193 106078 136386 159117 204579 318234 371273 409158 477351 742546 954702 1113819 1432053 2227638 2864106 3341457 6682914 10024371 20048742 57410929 114821858 172232787 344465574 401876503 516698361 803753006 1033396722 1205629509 1550095083 2411259018 2813135521 3100190166 3616888527 5626271042 7233777054 8439406563 10850665581 16878813126 21701331162 25318219689 50636439378 75954659067 151909318134