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117236414448 = 24335910344657
BaseRepresentation
bin110110100101111010…
…1011011011111110000
3102012121101222220211000
41231023311123133300
53410100010230243
6125505131122000
711320141036446
oct1551365333760
9365541886730
10117236414448
11457a099941a
121a87a2a3300
13b09479994a
1459622c0b96
1530b25605d3
hex1b4bd5b7f0

117236414448 has 160 divisors (see below), whose sum is σ = 345545740800. Its totient is φ = 38042625024.

The previous prime is 117236414437. The next prime is 117236414467. The reversal of 117236414448 is 844414632711.

117236414448 is a `hidden beast` number, since 1 + 172 + 36 + 4 + 1 + 4 + 448 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2602936 + ... + 2647592.

It is an arithmetic number, because the mean of its divisors is an integer number (2159660880).

Almost surely, 2117236414448 is an apocalyptic number.

117236414448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117236414448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172772870400).

117236414448 is an abundant number, since it is smaller than the sum of its proper divisors (228309326352).

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

117236414448 is a wasteful number, since it uses less digits than its factorization.

117236414448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44836 (or 44824 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The spelling of 117236414448 in words is "one hundred seventeen billion, two hundred thirty-six million, four hundred fourteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 59 72 103 108 118 144 177 206 216 236 309 354 412 432 472 531 618 708 824 927 944 1062 1236 1416 1593 1648 1854 2124 2472 2781 2832 3186 3708 4248 4944 5562 6077 6372 7416 8496 11124 12154 12744 14832 18231 22248 24308 25488 36462 44496 44657 48616 54693 72924 89314 97232 109386 133971 145848 164079 178628 218772 267942 291696 328158 357256 401913 437544 535884 656316 714512 803826 875088 1071768 1205739 1312632 1607652 2143536 2411478 2625264 2634763 3215304 4599671 4822956 5269526 6430608 7904289 9199342 9645912 10539052 13799013 15808578 18398684 19291824 21078104 23712867 27598026 31617156 36797368 41397039 42156208 47425734 55196052 63234312 71138601 73594736 82794078 94851468 110392104 124191117 126468624 142277202 165588156 189702936 220784208 248382234 271380589 284554404 331176312 379405872 496764468 542761178 569108808 662352624 814141767 993528936 1085522356 1138217616 1628283534 1987057872 2171044712 2442425301 3256567068 4342089424 4884850602 6513134136 7327275903 9769701204 13026268272 14654551806 19539402408 29309103612 39078804816 58618207224 117236414448