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1109137004624 = 241141349144029
BaseRepresentation
bin10000001000111101101…
…101111001100001010000
310221000212122221200202102
4100020331231321201100
5121133003033121444
62205310331135532
7143063306661665
oct20107555714120
93830778850672
101109137004624
11398422a18890
1215ab5b8a45a8
138078ba5739c
143b97ab83a6c
151dcb7be184e
hex1023db79850

1109137004624 has 80 divisors (see below), whose sum is σ = 2402233122240. Its totient is φ = 491704704000.

The previous prime is 1109137004623. The next prime is 1109137004641. The reversal of 1109137004624 is 4264007319011.

It is a super-3 number, since 3×11091370046243 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1109137004623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25169042 + ... + 25213070.

It is an arithmetic number, because the mean of its divisors is an integer number (30027914028).

Almost surely, 21109137004624 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 1109137004624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201116561120).

1109137004624 is an abundant number, since it is smaller than the sum of its proper divisors (1293096117616).

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

1109137004624 is a wasteful number, since it uses less digits than its factorization.

1109137004624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47580 (or 47574 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 1109137004624 in words is "one trillion, one hundred nine billion, one hundred thirty-seven million, four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1804 3491 3608 6982 7216 13964 27928 38401 44029 55856 76802 88058 143131 153604 176116 286262 307208 352232 484319 572524 614416 704464 968638 1145048 1574441 1805189 1937276 2290096 3148882 3610378 3874552 6297764 7220756 7749104 12595528 14441512 19857079 25191056 28883024 39714158 79428316 153705239 158856632 307410478 317713264 614820956 1229641912 1690757629 2459283824 3381515258 6301914799 6763030516 12603829598 13526061032 25207659196 27052122064 50415318392 69321062789 100830636784 138642125578 277284251156 554568502312 1109137004624