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39868345944 = 23327110971329
BaseRepresentation
bin100101001000010101…
…101010111001011000
310210220111022211002100
4211020111222321120
51123122244032234
630152033003400
72610655230510
oct451025527130
9123814284070
1039868345944
11159a9707439
1278879b3560
1339b4a07c5b
141d02cda840
15108517d399
hex94856ae58

39868345944 has 96 divisors (see below), whose sum is σ = 123515028000. Its totient is φ = 11380525056.

The previous prime is 39868345903. The next prime is 39868345967. The reversal of 39868345944 is 44954386893.

39868345944 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 8 + 34 + 594 + 4 = 666.

It is a super-2 number, since 2×398683459442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 523272 + ... + 594600.

It is an arithmetic number, because the mean of its divisors is an integer number (1286614875).

Almost surely, 239868345944 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 39868345944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61757514000).

39868345944 is an abundant number, since it is smaller than the sum of its proper divisors (83646682056).

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

39868345944 is a wasteful number, since it uses less digits than its factorization.

39868345944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72457 (or 72450 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 39868345944 in words is "thirty-nine billion, eight hundred sixty-eight million, three hundred forty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 1109 2218 3327 4436 6654 7763 8872 9981 13308 15526 19962 23289 26616 31052 39924 46578 62104 69867 71329 79848 93156 139734 142658 186312 213987 279468 285316 427974 499303 558936 570632 641961 855948 998606 1283922 1497909 1711896 1997212 2567844 2995818 3994424 4493727 5135688 5991636 8987454 11983272 17974908 35949816 79103861 158207722 237311583 316415444 474623166 553727027 632830888 711934749 949246332 1107454054 1423869498 1661181081 1898492664 2214908108 2847738996 3322362162 4429816216 4983543243 5695477992 6644724324 9967086486 13289448648 19934172972 39868345944