Search a number
-
+
6939706326896 = 2473126926992753
BaseRepresentation
bin110010011111100011010…
…1110101111111101110000
3220120102121001210000212102
41210333012232233331300
51402200004304430041
622432020154515532
71314243251333540
oct144770656577560
926512531700772
106939706326896
112236127338342
12940b65735ba8
133b45470a7395
1419dc52779320
15c07b72dc09b
hex64fc6baff70

6939706326896 has 160 divisors (see below), whose sum is σ = 15932837376000. Its totient is φ = 2865415864320.

The previous prime is 6939706326887. The next prime is 6939706326899. The reversal of 6939706326896 is 6986236079396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6939706326899) 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, 2520778256 + ... + 2520781008.

It is an arithmetic number, because the mean of its divisors is an integer number (99580233600).

Almost surely, 26939706326896 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 6939706326896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7966418688000).

6939706326896 is an abundant number, since it is smaller than the sum of its proper divisors (8993131049104).

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

6939706326896 is a wasteful number, since it uses less digits than its factorization.

6939706326896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5767 (or 5761 counting only the distinct ones).

The product of its (nonzero) digits is 952342272, while the sum is 74.

The spelling of 6939706326896 in words is "six trillion, nine hundred thirty-nine billion, seven hundred six million, three hundred twenty-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 269 434 496 538 868 1076 1736 1883 2152 2699 2753 3472 3766 4304 5398 5506 7532 8339 10796 11012 15064 16678 18893 19271 21592 22024 30128 33356 37786 38542 43184 44048 58373 66712 75572 77084 83669 85343 116746 133424 151144 154168 167338 170686 233492 302288 308336 334676 341372 466984 585683 597401 669352 682744 726031 740557 933968 1171366 1194802 1338704 1365488 1452062 1481114 2342732 2389604 2904124 2962228 4685464 4779208 5082217 5183899 5808248 5924456 7430347 9370928 9558416 10164434 10367798 11616496 11848912 14860694 20328868 20735596 22506961 22957267 29721388 40657736 41471192 45013922 45914534 52012429 59442776 81315472 82942384 90027844 91829068 104024858 118885552 157548727 160700869 180055688 183658136 208049716 230340757 315097454 321401738 360111376 367316272 416099432 460681514 630194908 642803476 832198864 921363028 1260389816 1285606952 1612385299 1842726056 1998763343 2520779632 2571213904 3224770598 3685452112 3997526686 6449541196 7995053372 12899082392 13991343401 15990106744 25798164784 27982686802 31980213488 55965373604 61961663633 111930747208 123923327266 223861494416 247846654532 433731645431 495693309064 867463290862 991386618128 1734926581724 3469853163448 6939706326896