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2670803968 = 21072391559
BaseRepresentation
bin1001111100110001…
…0011110000000000
320220010120220021111
42133030103300000
520432211211333
61121004333104
7123120313330
oct23714236000
96803526244
102670803968
111150665608
12626544194
133374336a1
141b49d30c0
151097194cd
hex9f313c00

2670803968 has 88 divisors (see below), whose sum is σ = 6131174400. Its totient is φ = 1139109888.

The previous prime is 2670803957. The next prime is 2670803969. The reversal of 2670803968 is 8693080762.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2670803969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1712373 + ... + 1713931.

Almost surely, 22670803968 is an apocalyptic number.

2670803968 is a gapful number since it is divisible by the number (28) 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 2670803968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065587200).

2670803968 is an abundant number, since it is smaller than the sum of its proper divisors (3460370432).

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

2670803968 is a wasteful number, since it uses less digits than its factorization.

2670803968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1825 (or 1807 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The square root of 2670803968 is about 51679.8216715190. The cubic root of 2670803968 is about 1387.4393392629.

The spelling of 2670803968 in words is "two billion, six hundred seventy million, eight hundred three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 239 256 448 478 512 896 956 1024 1559 1673 1792 1912 3118 3346 3584 3824 6236 6692 7168 7648 10913 12472 13384 15296 21826 24944 26768 30592 43652 49888 53536 61184 87304 99776 107072 122368 174608 199552 214144 244736 349216 372601 399104 428288 698432 745202 798208 856576 1396864 1490404 1596416 1713152 2608207 2793728 2980808 5216414 5587456 5961616 10432828 11174912 11923232 20865656 23846464 41731312 47692928 83462624 95385856 166925248 190771712 333850496 381543424 667700992 1335401984 2670803968