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6740616948 = 22313127397857
BaseRepresentation
bin1100100011100010…
…11010011011110100
3122101202122211010120
412101301122123310
5102301044220243
63032510451540
7326016204312
oct62161323364
918352584116
106740616948
1129499a230a
121381503bb0
13835659750
1447d31b0b2
15296b7ec83
hex191c5a6f4

6740616948 has 96 divisors (see below), whose sum is σ = 17134301184. Its totient is φ = 2050126848.

The previous prime is 6740616929. The next prime is 6740616959. The reversal of 6740616948 is 8496160476.

It is a super-3 number, since 3×67406169483 (a number of 30 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6740616948.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 7864936 + ... + 7865792.

It is an arithmetic number, because the mean of its divisors is an integer number (178482304).

Almost surely, 26740616948 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 6740616948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8567150592).

6740616948 is an abundant number, since it is smaller than the sum of its proper divisors (10393684236).

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

6740616948 is a wasteful number, since it uses less digits than its factorization.

6740616948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The square root of 6740616948 is about 82101.2603313737. The cubic root of 6740616948 is about 1889.0054721189.

The spelling of 6740616948 in words is "six billion, seven hundred forty million, six hundred sixteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 127 156 254 381 397 508 762 794 857 1191 1524 1588 1651 1714 2382 2571 3302 3428 4764 4953 5142 5161 6604 9906 10284 10322 11141 15483 19812 20644 22282 30966 33423 44564 50419 61932 66846 100838 108839 133692 151257 201676 217678 302514 326517 340229 435356 605028 653034 655447 680458 1020687 1306068 1310894 1360916 1414907 1966341 2041374 2621788 2829814 3932682 4082748 4244721 4422977 5659628 7865364 8489442 8845954 13268931 16978884 17691908 26537862 43209083 53075724 86418166 129627249 172836332 259254498 518508996 561718079 1123436158 1685154237 2246872316 3370308474 6740616948