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39240272736 = 25327169311497
BaseRepresentation
bin100100100010111001…
…110000101101100000
310202021201111101121200
4210202321300231200
51120331002211421
630005435121200
72556260546340
oct444271605540
9122251441550
1039240272736
1115707124775
1277315a3200
1339148603c2
141c83726d20
151049e67726
hex922e70b60

39240272736 has 144 divisors (see below), whose sum is σ = 127617313824. Its totient is φ = 11203909632.

The previous prime is 39240272717. The next prime is 39240272741. The reversal of 39240272736 is 63727204293.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 39240272691 and 39240272700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3407340 + ... + 3418836.

It is an arithmetic number, because the mean of its divisors is an integer number (886231346).

Almost surely, 239240272736 is an apocalyptic number.

39240272736 is a gapful number since it is divisible by the number (36) 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 39240272736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63808656912).

39240272736 is an abundant number, since it is smaller than the sum of its proper divisors (88377041088).

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

39240272736 is a wasteful number, since it uses less digits than its factorization.

39240272736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13213 (or 13202 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 39240272736 in words is "thirty-nine billion, two hundred forty million, two hundred seventy-two thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1693 2016 3386 5079 6772 10158 11497 11851 13544 15237 20316 22994 23702 27088 30474 34491 35553 40632 45988 47404 54176 60948 68982 71106 80479 81264 91976 94808 103473 106659 121896 137964 142212 160958 162528 183952 189616 206946 213318 241437 243792 275928 284424 321916 367904 379232 413892 426636 482874 487584 551856 568848 643832 724311 827784 853272 965748 1103712 1137696 1287664 1448622 1655568 1706544 1931496 2575328 2897244 3311136 3413088 3862992 5794488 7725984 11588976 19464421 23177952 38928842 58393263 77857684 116786526 136250947 155715368 175179789 233573052 272501894 311430736 350359578 408752841 467146104 545003788 622861472 700719156 817505682 934292208 1090007576 1226258523 1401438312 1635011364 1868584416 2180015152 2452517046 2802876624 3270022728 4360030304 4905034092 5605753248 6540045456 9810068184 13080090912 19620136368 39240272736