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39961838004 = 22311255749411
BaseRepresentation
bin100101001101111010…
…010100000110110100
310211011000020201002020
4211031322110012310
51123320212304004
630205212513140
72613202006224
oct451572240664
9124130221066
1039961838004
1115a47463400
1278b317b7b0
1339cb1b04ba
141d114b6084
15108d4998d9
hex94de941b4

39961838004 has 72 divisors (see below), whose sum is σ = 102677740704. Its totient is φ = 12087662400.

The previous prime is 39961837997. The next prime is 39961838009. The reversal of 39961838004 is 40083816993.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39961838009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 784059 + ... + 833469.

It is an arithmetic number, because the mean of its divisors is an integer number (1426079732).

Almost surely, 239961838004 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 39961838004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51338870352).

39961838004 is an abundant number, since it is smaller than the sum of its proper divisors (62715902700).

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

39961838004 is a wasteful number, since it uses less digits than its factorization.

39961838004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49997 (or 49984 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The spelling of 39961838004 in words is "thirty-nine billion, nine hundred sixty-one million, eight hundred thirty-eight thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 484 557 726 1114 1452 1671 2228 3342 6127 6684 12254 18381 24508 36762 49411 67397 73524 98822 134794 148233 197644 202191 269588 296466 404382 543521 592932 808764 1087042 1630563 2174084 3261126 5978731 6522252 11957462 17936193 23914924 27521927 35872386 55043854 71744772 82565781 110087708 165131562 302741197 330263124 605482394 908223591 1210964788 1816447182 3330153167 3632894364 6660306334 9990459501 13320612668 19980919002 39961838004