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130142563650 = 233521161143669
BaseRepresentation
bin111100100110100011…
…0011110110101000010
3110102220212012020012000
41321031012132311002
54113012444014100
6135441530444430
712255024352551
oct1711506366502
9412825166160
10130142563650
11502140a2330
1221280593716
13c37059ba18
1464283b9d98
1535ba624900
hex1e4d19ed42

130142563650 has 192 divisors, whose sum is σ = 397632585600. Its totient is φ = 31032288000.

The previous prime is 130142563643. The next prime is 130142563703. The reversal of 130142563650 is 56365241031.

130142563650 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 42 + 563 + 6 + 50 = 666.

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 95 ways as a sum of consecutive naturals, for example, 834016 + ... + 977684.

It is an arithmetic number, because the mean of its divisors is an integer number (2071003050).

Almost surely, 2130142563650 is an apocalyptic number.

130142563650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130142563650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198816292800).

130142563650 is an abundant number, since it is smaller than the sum of its proper divisors (267490021950).

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

130142563650 is a wasteful number, since it uses less digits than its factorization.

130142563650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143762 (or 143751 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 130142563650 in words is "one hundred thirty billion, one hundred forty-two million, five hundred sixty-three thousand, six hundred fifty".