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6990161328 = 243513211361
BaseRepresentation
bin1101000001010010…
…10110010110110000
3200001011012222200000
412200221112112300
5103303440130303
63113343230000
7335136251043
oct64051262660
920034188600
106990161328
112a67844737
121430ba8300
1387526c947
144a4518c5a
152ada23da3
hex1a0a565b0

6990161328 has 120 divisors (see below), whose sum is σ = 20317564176. Its totient is φ = 2326579200.

The previous prime is 6990161327. The next prime is 6990161359. The reversal of 6990161328 is 8231610996.

It is a happy number.

6990161328 is a `hidden beast` number, since 6 + 9 + 9 + 0 + 1 + 613 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6990161327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5135368 + ... + 5136728.

Almost surely, 26990161328 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 6990161328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10158782088).

6990161328 is an abundant number, since it is smaller than the sum of its proper divisors (13327402848).

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

6990161328 is a wasteful number, since it uses less digits than its factorization.

6990161328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 6990161328 is about 83607.1846673478. The cubic root of 6990161328 is about 1912.0345386290.

The spelling of 6990161328 in words is "six billion, nine hundred ninety million, one hundred sixty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1321 1361 1944 2642 2722 3888 3963 4083 5284 5444 7926 8166 10568 10888 11889 12249 15852 16332 21136 21776 23778 24498 31704 32664 35667 36747 47556 48996 63408 65328 71334 73494 95112 97992 107001 110241 142668 146988 190224 195984 214002 220482 285336 293976 321003 330723 428004 440964 570672 587952 642006 661446 856008 881928 1284012 1322892 1712016 1763856 1797881 2568024 2645784 3595762 5136048 5291568 5393643 7191524 10787286 14383048 16180929 21574572 28766096 32361858 43149144 48542787 64723716 86298288 97085574 129447432 145628361 194171148 258894864 291256722 388342296 436885083 582513444 776684592 873770166 1165026888 1747540332 2330053776 3495080664 6990161328