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6400679616 = 26343139829
BaseRepresentation
bin1011111011000001…
…01001111011000000
3121112002000012210000
411331200221323000
5101102033221431
62535044440000
7314420610342
oct57540517300
917462005700
106400679616
112795020371
1212a76a9000
137b00b77b6
1444a10d292
15276dd29e6
hex17d829ec0

6400679616 has 140 divisors (see below), whose sum is σ = 19586163520. Its totient is φ = 2064683520.

The previous prime is 6400679603. The next prime is 6400679633. The reversal of 6400679616 is 6169760046.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 140790 + ... + 180618.

It is an arithmetic number, because the mean of its divisors is an integer number (139901168).

Almost surely, 26400679616 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 6400679616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9793081760).

6400679616 is an abundant number, since it is smaller than the sum of its proper divisors (13185483904).

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

6400679616 is a wasteful number, since it uses less digits than its factorization.

6400679616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39884 (or 39865 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6400679616 is about 80004.2474872428. The cubic root of 6400679616 is about 1856.7012498281.

The spelling of 6400679616 in words is "six billion, four hundred million, six hundred seventy-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 4464 5022 5184 5952 6696 8928 10044 13392 17856 20088 26784 39829 40176 53568 79658 80352 119487 159316 160704 238974 318632 358461 477948 637264 716922 955896 1075383 1234699 1274528 1433844 1911792 2150766 2469398 2549056 2867688 3226149 3704097 3823584 4301532 4938796 5735376 6452298 7408194 7647168 8603064 9877592 11112291 11470752 12904596 14816388 17206128 19755184 22224582 22941504 25809192 29632776 33336873 34412256 39510368 44449164 51618384 59265552 66673746 68824512 79020736 88898328 100010619 103236768 118531104 133347492 177796656 200021238 206473536 237062208 266694984 355593312 400042476 533389968 711186624 800084952 1066779936 1600169904 2133559872 3200339808 6400679616