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6740401044 = 223131014191021
BaseRepresentation
bin1100100011100001…
…00101101110010100
3122101202020211222010
412101300211232110
5102301020313134
63032502104220
7326014314666
oct62160455624
918352224863
106740401044
112949865083
12138141b070
138355b23b0
1447d2a2536
15296b3ace9
hex191c25b94

6740401044 has 96 divisors (see below), whose sum is σ = 17162732160. Its totient is φ = 2046528000.

The previous prime is 6740401039. The next prime is 6740401049. The reversal of 6740401044 is 4401040476.

It is an interprime number because it is at equal distance from previous prime (6740401039) and next prime (6740401049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6740401049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6601254 + ... + 6602274.

It is an arithmetic number, because the mean of its divisors is an integer number (178778460).

Almost surely, 26740401044 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 6740401044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8581366080).

6740401044 is an abundant number, since it is smaller than the sum of its proper divisors (10422331116).

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

6740401044 is a wasteful number, since it uses less digits than its factorization.

6740401044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 6740401044 is about 82099.9454567419. The cubic root of 6740401044 is about 1888.9853034313.

The spelling of 6740401044 in words is "six billion, seven hundred forty million, four hundred one thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 156 202 303 404 419 606 838 1021 1212 1257 1313 1676 2042 2514 2626 3063 3939 4084 5028 5252 5447 6126 7878 10894 12252 13273 15756 16341 21788 26546 32682 39819 42319 53092 65364 79638 84638 103121 126957 159276 169276 206242 253914 309363 412484 427799 507828 550147 618726 855598 1100294 1237452 1283397 1340573 1650441 1711196 2200588 2566794 2681146 3300882 4021719 5133588 5362292 5561387 6601764 8043438 11122774 16086876 16684161 22245548 33368322 43207699 66736644 86415398 129623097 172830796 259246194 518492388 561700087 1123400174 1685100261 2246800348 3370200522 6740401044