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156809040480 = 2534567419431
BaseRepresentation
bin1001001000001010001…
…1000001001001100000
3112222202021212121110000
42102002203001021200
510032121103243410
6200012001540000
714220605565141
oct2220243011140
9488667777400
10156809040480
1160558685034
1226483044600
1311a30144cb1
147837bddac8
15412b777dc0
hex24828c1260

156809040480 has 480 divisors, whose sum is σ = 564311784960. Its totient is φ = 40997975040.

The previous prime is 156809040407. The next prime is 156809040481. The reversal of 156809040480 is 84040908651.

156809040480 is a `hidden beast` number, since 1 + 5 + 6 + 80 + 90 + 4 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156809040481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 363825865 + ... + 363826295.

It is an arithmetic number, because the mean of its divisors is an integer number (1175649552).

Almost surely, 2156809040480 is an apocalyptic number.

156809040480 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 156809040480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282155892480).

156809040480 is an abundant number, since it is smaller than the sum of its proper divisors (407502744480).

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

156809040480 is a wasteful number, since it uses less digits than its factorization.

156809040480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 156809040480 in words is "one hundred fifty-six billion, eight hundred nine million, forty thousand, four hundred eighty".