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30601561536 = 263572133089
BaseRepresentation
bin11100011111111111…
…101100010111000000
32220222200020101200000
4130133333230113000
51000132444432121
622020321400000
72132222660400
oct343777542700
986880211600
1030601561536
1111a83869127
125b20499000
132b68bb9680
1416a42ba800
15be1854526
hex71ffec5c0

30601561536 has 504 divisors, whose sum is σ = 113989926960. Its totient is φ = 8068128768.

The previous prime is 30601561499. The next prime is 30601561537. The reversal of 30601561536 is 63516510603.

30601561536 is a `hidden beast` number, since 3 + 0 + 6 + 0 + 1 + 5 + 615 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30601561536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30601561537) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9905080 + ... + 9908168.

It is an arithmetic number, because the mean of its divisors is an integer number (226170490).

Almost surely, 230601561536 is an apocalyptic number.

30601561536 is a gapful number since it is divisible by the number (36) 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 30601561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56994963480).

30601561536 is an abundant number, since it is smaller than the sum of its proper divisors (83388365424).

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

30601561536 is a wasteful number, since it uses less digits than its factorization.

30601561536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 30601561536 in words is "thirty billion, six hundred one million, five hundred sixty-one thousand, five hundred thirty-six".