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130033544445 = 32572367160687
BaseRepresentation
bin111100100011010011…
…0100110110011111101
3110102122021001110221200
41321012212212303331
54112302041410240
6135423034050113
712252231614400
oct1710646466375
9412567043850
10130033544445
1150168600612
122124bb79939
13c353b1ac0c
146417b1bd37
1535b0c8c930
hex1e469a6cfd

130033544445 has 72 divisors (see below), whose sum is σ = 262906136064. Its totient is φ = 59281564608.

The previous prime is 130033544437. The next prime is 130033544447. The reversal of 130033544445 is 544445330031.

130033544445 is a `hidden beast` number, since 130 + 0 + 33 + 54 + 4 + 445 = 666.

It is not a de Polignac number, because 130033544445 - 23 = 130033544437 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130033544447) 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, 728892 + ... + 889578.

It is an arithmetic number, because the mean of its divisors is an integer number (3651474112).

Almost surely, 2130033544445 is an apocalyptic number.

130033544445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130033544445 is an abundant number, since it is smaller than the sum of its proper divisors (132872591619).

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

130033544445 is a wasteful number, since it uses less digits than its factorization.

130033544445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161079 (or 161069 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 130033544445 its reverse (544445330031), we get a palindrome (674478874476).

The spelling of 130033544445 in words is "one hundred thirty billion, thirty-three million, five hundred forty-four thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 367 441 735 1101 1835 2205 2569 3303 5505 7707 12845 16515 17983 23121 38535 53949 89915 115605 160687 161847 269745 482061 803435 809235 1124809 1446183 2410305 3374427 5624045 7230915 7873663 10123281 16872135 23620989 39368315 50616405 58972129 70862967 118104945 176916387 294860645 354314835 412804903 530749161 884581935 1238414709 2064024515 2653745805 2889634321 3715244127 6192073545 8668902963 14448171605 18576220635 26006708889 43344514815 130033544445