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181436006864 = 2472916755541
BaseRepresentation
bin1010100011111001101…
…1011100000111010000
3122100022120212010100002
42220332123130013100
510433040104204424
6215203415145132
716052103420020
oct2507633340720
9570276763302
10181436006864
116aa45994412
122b1b66751a8
13141562bc158
148ad2801a80
154abd811cae
hex2a3e6dc1d0

181436006864 has 40 divisors (see below), whose sum is σ = 401772165888. Its totient is φ = 77754222720.

The previous prime is 181436006839. The next prime is 181436006887. The reversal of 181436006864 is 468600634181.

181436006864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1814360068642 (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 3238934 + ... + 3294474.

Almost surely, 2181436006864 is an apocalyptic number.

181436006864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

181436006864 is an abundant number, since it is smaller than the sum of its proper divisors (220336159024).

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

181436006864 is a wasteful number, since it uses less digits than its factorization.

181436006864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84723 (or 84717 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 47.

The spelling of 181436006864 in words is "one hundred eighty-one billion, four hundred thirty-six million, six thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 29167 55541 58334 111082 116668 204169 222164 233336 388787 408338 444328 466672 777574 816676 888656 1555148 1633352 3110296 3266704 6220592 1619964347 3239928694 6479857388 11339750429 12959714776 22679500858 25919429552 45359001716 90718003432 181436006864