Search a number
-
+
790011389952 = 211321371931621
BaseRepresentation
bin10110111111100000101…
…10010010100000000000
32210112011020210202221100
423133300112102200000
5100420420403434302
61402532021454400
7111035135005641
oct13376026224000
92715136722840
10790011389952
1128505091a174
12109139271400
1359661749625
142a3459296c8
151583b433d1c
hexb7f0592800

790011389952 has 288 divisors, whose sum is σ = 2311686435240. Its totient is φ = 259900047360.

The previous prime is 790011389939. The next prime is 790011389957. The reversal of 790011389952 is 259983110097.

It can be written as a sum of positive squares in 4 ways, for example, as 700930630656 + 89080759296 = 837216^2 + 298464^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (790011389957) 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, 487359702 + ... + 487361322.

Almost surely, 2790011389952 is an apocalyptic number.

790011389952 is a gapful number since it is divisible by the number (72) 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 790011389952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155843217620).

790011389952 is an abundant number, since it is smaller than the sum of its proper divisors (1521675045288).

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

790011389952 is a wasteful number, since it uses less digits than its factorization.

790011389952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 790011389952 in words is "seven hundred ninety billion, eleven million, three hundred eighty-nine thousand, nine hundred fifty-two".