Search a number
-
+
6038360064 = 212321114891
BaseRepresentation
bin1011001111110101…
…00001000000000000
3120120211020110210100
411213322201000000
544331310010224
62435103002400
7302431133202
oct54772410000
916524213710
106038360064
112619551320
121206299400
1375300a029
14413d56772
152551b3ac9
hex167ea1000

6038360064 has 156 divisors (see below), whose sum is σ = 19028938032. Its totient is φ = 1829683200.

The previous prime is 6038360063. The next prime is 6038360071. The reversal of 6038360064 is 4600638306.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (6038360063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 398059 + ... + 412949.

It is an arithmetic number, because the mean of its divisors is an integer number (121980372).

Almost surely, 26038360064 is an apocalyptic number.

6038360064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6038360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9514469016).

6038360064 is an abundant number, since it is smaller than the sum of its proper divisors (12990577968).

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

6038360064 is a wasteful number, since it uses less digits than its factorization.

6038360064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14932 (or 14907 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6038360064 is about 77706.8855636359. The cubic root of 6038360064 is about 1820.9848616415.

The spelling of 6038360064 in words is "six billion, thirty-eight million, three hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 704 768 792 1024 1056 1152 1408 1536 1584 2048 2112 2304 2816 3072 3168 4096 4224 4608 5632 6144 6336 8448 9216 11264 12288 12672 14891 16896 18432 22528 25344 29782 33792 36864 44673 45056 50688 59564 67584 89346 101376 119128 134019 135168 163801 178692 202752 238256 268038 327602 357384 405504 476512 491403 536076 655204 714768 953024 982806 1072152 1310408 1429536 1474209 1906048 1965612 2144304 2620816 2859072 2948418 3812096 3931224 4288608 5241632 5718144 5896836 7624192 7862448 8577216 10483264 11436288 11793672 15248384 15724896 17154432 20966528 22872576 23587344 30496768 31449792 34308864 41933056 45745152 47174688 60993536 62899584 68617728 83866112 91490304 94349376 125799168 137235456 167732224 182980608 188698752 251598336 274470912 335464448 377397504 503196672 548941824 670928896 754795008 1006393344 1509590016 2012786688 3019180032 6038360064