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20480180134914 = 2333142129060041
BaseRepresentation
bin1001010100000011010011…
…10111001010010000000010
32200111212220222002202022000
410222001221313022100002
510141021402103304124
6111320244224524430
74212433645564113
oct452015167122002
980455828082260
1020480180134914
116586660850545
122369242a80716
13b57371177296
1450b36308a20a
15257b0a9816c9
hex12a069dca402

20480180134914 has 64 divisors (see below), whose sum is σ = 47091216860160. Its totient is φ = 6590817072000.

The previous prime is 20480180134861. The next prime is 20480180134919. The reversal of 20480180134914 is 41943108108402.

20480180134914 is a `hidden beast` number, since 2 + 0 + 4 + 80 + 1 + 80 + 1 + 3 + 491 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20480180134914.

It is not an unprimeable number, because it can be changed into a prime (20480180134919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13825267 + ... + 15234774.

It is an arithmetic number, because the mean of its divisors is an integer number (735800263440).

Almost surely, 220480180134914 is an apocalyptic number.

20480180134914 is an abundant number, since it is smaller than the sum of its proper divisors (26611036725246).

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

20480180134914 is a wasteful number, since it uses less digits than its factorization.

20480180134914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29060504 (or 29060498 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 20480180134914 in words is "twenty trillion, four hundred eighty billion, one hundred eighty million, one hundred thirty-four thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 421 558 837 842 1263 1674 2526 3789 7578 11367 13051 22734 26102 39153 78306 117459 234918 352377 704754 29060041 58120082 87180123 174360246 261540369 523080738 784621107 900861271 1569242214 1801722542 2702583813 5405167626 8107751439 12234277261 16215502878 24323254317 24468554522 36702831783 48646508634 73405663566 110108495349 220216990698 330325486047 379262595091 660650972094 758525190182 1137787785273 2275575570546 3413363355819 6826726711638 10240090067457 20480180134914