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2068291968 = 273191971439
BaseRepresentation
bin111101101000111…
…1010000110000000
312100010212010012020
41323101322012000
513213440320333
6541122401440
7102153122511
oct17321720600
95303763166
102068291968
11971551406
12498800280
1326c668602
14158994a08
15c18a23b3
hex7b47a180

2068291968 has 128 divisors (see below), whose sum is σ = 5816448000. Its totient is φ = 649377792.

The previous prime is 2068291921. The next prime is 2068292003. The reversal of 2068291968 is 8691928602.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2068291968.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1436593 + ... + 1438031.

It is an arithmetic number, because the mean of its divisors is an integer number (45441000).

Almost surely, 22068291968 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 2068291968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2908224000).

2068291968 is an abundant number, since it is smaller than the sum of its proper divisors (3748156032).

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

2068291968 is a wasteful number, since it uses less digits than its factorization.

2068291968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The square root of 2068291968 is about 45478.4780747993. The cubic root of 2068291968 is about 1274.1012696063.

The spelling of 2068291968 in words is "two billion, sixty-eight million, two hundred ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 197 228 304 384 394 456 591 608 788 912 1182 1216 1439 1576 1824 2364 2432 2878 3152 3648 3743 4317 4728 5756 6304 7296 7486 8634 9456 11229 11512 12608 14972 17268 18912 22458 23024 25216 27341 29944 34536 37824 44916 46048 54682 59888 69072 75648 82023 89832 92096 109364 119776 138144 164046 179664 184192 218728 239552 276288 283483 328092 359328 437456 479104 552576 566966 656184 718656 850449 874912 1133932 1312368 1437312 1700898 1749824 2267864 2624736 3401796 3499648 4535728 5249472 5386177 6803592 9071456 10498944 10772354 13607184 16158531 18142912 21544708 27214368 32317062 36285824 43089416 54428736 64634124 86178832 108857472 129268248 172357664 258536496 344715328 517072992 689430656 1034145984 2068291968