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42744606736 = 24131966116363
BaseRepresentation
bin100111110011110001…
…101111000000010000
311002022221112000010211
4213303301233000100
51200020104403421
631345301133504
73042152106466
oct476361570020
9132287460124
1042744606736
1117145241777
12834b0ba294
134052886610
1420d6cd2836
1511a292d9e1
hex9f3c6f010

42744606736 has 80 divisors (see below), whose sum is σ = 94030162240. Its totient is φ = 18660533760.

The previous prime is 42744606731. The next prime is 42744606767. The reversal of 42744606736 is 63760644724.

It is a self number, because there is not a number n which added to its sum of digits gives 42744606736.

It is not an unprimeable number, because it can be changed into a prime (42744606731) 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 15 ways as a sum of consecutive naturals, for example, 2604091 + ... + 2620453.

It is an arithmetic number, because the mean of its divisors is an integer number (1175377028).

Almost surely, 242744606736 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 42744606736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47015081120).

42744606736 is an abundant number, since it is smaller than the sum of its proper divisors (51285555504).

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

42744606736 is a wasteful number, since it uses less digits than its factorization.

42744606736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17064 (or 17058 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 49.

The spelling of 42744606736 in words is "forty-two billion, seven hundred forty-four million, six hundred six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 304 494 661 988 1322 1976 2644 3952 5288 8593 10576 12559 16363 17186 25118 32726 34372 50236 65452 68744 100472 130904 137488 163267 200944 212719 261808 310897 326534 425438 621794 653068 850876 1243588 1306136 1701752 2487176 2612272 3403504 4041661 4974352 8083322 10815943 16166644 21631886 32333288 43263772 64666576 86527544 140607259 173055088 205502917 281214518 411005834 562429036 822011668 1124858072 1644023336 2249716144 2671537921 3288046672 5343075842 10686151684 21372303368 42744606736