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117101814448 = 24193722745863
BaseRepresentation
bin110110100001111001…
…1111110001010110000
3102012021000201112022211
41231003303332022300
53404311031030243
6125443522141504
711313614666563
oct1550363761260
9365230645284
10117101814448
1145731a15453
121a8411b1894
13b072930488
14594c4844da
1530a5823d9d
hex1b43cfe2b0

117101814448 has 80 divisors (see below), whose sum is σ = 246366731520. Its totient is φ = 53731185408.

The previous prime is 117101814443. The next prime is 117101814463. The reversal of 117101814448 is 844418101711.

It is a happy number.

117101814448 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 117101814448.

It is not an unprimeable number, because it can be changed into a prime (117101814443) 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, 2530365 + ... + 2576227.

It is an arithmetic number, because the mean of its divisors is an integer number (3079584144).

Almost surely, 2117101814448 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 117101814448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123183365760).

117101814448 is an abundant number, since it is smaller than the sum of its proper divisors (129264917072).

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

117101814448 is a wasteful number, since it uses less digits than its factorization.

117101814448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46154 (or 46148 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 40.

The spelling of 117101814448 in words is "one hundred seventeen billion, one hundred one million, eight hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 227 296 304 454 592 703 908 1406 1816 2812 3632 4313 5624 8399 8626 11248 16798 17252 33596 34504 45863 67192 69008 91726 134384 159581 183452 319162 366904 638324 733808 871397 1276648 1696931 1742794 2553296 3393862 3485588 6787724 6971176 10410901 13575448 13942352 20821802 27150896 32241689 41643604 64483378 83287208 128966756 166574416 197807119 257933512 385203337 395614238 515867024 770406674 791228476 1540813348 1582456952 3081626696 3164913904 6163253392 7318863403 14637726806 29275453612 58550907224 117101814448