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12350556540 = 22335729611847
BaseRepresentation
bin10111000000010011…
…01000100101111100
31011212201202021112000
423200021220211330
5200243220302130
65401311142300
7615025666320
oct134011504574
934781667460
1012350556540
115268626a23
122488214990
13121a98412a
148523d1980
154c4419260
hex2e026897c

12350556540 has 384 divisors, whose sum is σ = 46197043200. Its totient is φ = 2679505920.

The previous prime is 12350556527. The next prime is 12350556551. The reversal of 12350556540 is 4565505321.

12350556540 is a `hidden beast` number, since 1 + 2 + 3 + 50 + 5 + 565 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12350556495 and 12350556504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6685897 + ... + 6687743.

It is an arithmetic number, because the mean of its divisors is an integer number (120304800).

Almost surely, 212350556540 is an apocalyptic number.

12350556540 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 12350556540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23098521600).

12350556540 is an abundant number, since it is smaller than the sum of its proper divisors (33846486660).

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

12350556540 is a wasteful number, since it uses less digits than its factorization.

12350556540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 12350556540 in words is "twelve billion, three hundred fifty million, five hundred fifty-six thousand, five hundred forty".