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18438971117076 = 22331729228342197
BaseRepresentation
bin1000011000101001010000…
…10100101100111000010100
32102021202012121012220011000
410030110220110230320110
54404101003101221301
6103114425115343300
73612112615320636
oct414245024547024
972252177186130
1018438971117076
115969a18546724
12209971a151b30
13a39a3122c6b3
1447a645632a56
1521e98ec9e786
hex10c52852ce14

18438971117076 has 288 divisors, whose sum is σ = 52608861002880. Its totient is φ = 5565432305664.

The previous prime is 18438971117057. The next prime is 18438971117089. The reversal of 18438971117076 is 67071117983481.

18438971117076 is a `hidden beast` number, since 1 + 8 + 4 + 389 + 7 + 11 + 170 + 76 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 436952410 + ... + 436994606.

It is an arithmetic number, because the mean of its divisors is an integer number (182669656260).

Almost surely, 218438971117076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18438971117076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26304430501440).

18438971117076 is an abundant number, since it is smaller than the sum of its proper divisors (34169889885804).

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

18438971117076 is a wasteful number, since it uses less digits than its factorization.

18438971117076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42568 (or 42531 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 63.

The spelling of 18438971117076 in words is "eighteen trillion, four hundred thirty-eight billion, nine hundred seventy-one million, one hundred seventeen thousand, seventy-six".