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130523153355504 = 243271323720708021
BaseRepresentation
bin11101101011010111001010…
…001100001101001011110000
3122010010220001222100022210200
4131223113022030031023300
5114101442404224334004
61141333301525555200
736330662262644250
oct3553271214151360
9563126058308720
10130523153355504
1138652616379378
1212780317b75b00
1357aa385497400
1424334d63cd960
151015317bd0239
hex76b5ca30d2f0

130523153355504 has 360 divisors, whose sum is σ = 464267558001312. Its totient is φ = 33493317212160.

The previous prime is 130523153355499. The next prime is 130523153355527. The reversal of 130523153355504 is 405553351325031.

130523153355504 is a `hidden beast` number, since 1 + 3 + 0 + 52 + 3 + 15 + 3 + 35 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 130523153355504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4050987 + ... + 16657034.

Almost surely, 2130523153355504 is an apocalyptic number.

130523153355504 is a gapful number since it is divisible by the number (14) 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 130523153355504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232133779000656).

130523153355504 is an abundant number, since it is smaller than the sum of its proper divisors (333744404645808).

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

130523153355504 is a wasteful number, since it uses less digits than its factorization.

130523153355504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20708105 (or 20708083 counting only the distinct ones).

The product of its (nonzero) digits is 2025000, while the sum is 45.

The spelling of 130523153355504 in words is "one hundred thirty trillion, five hundred twenty-three billion, one hundred fifty-three million, three hundred fifty-five thousand, five hundred four".