Search a number
-
+
690836638096 = 2411149233113063
BaseRepresentation
bin10100000110110010001…
…00101000100110010000
32110001011121000101022201
422003121010220212100
542304313134404341
61245211014412544
7100624401351463
oct12033104504620
92401147011281
10690836638096
11246a892aa230
12b1a7b961154
13501b7bbcbc7
14256183272da
1512e848ac331
hexa0d9128990

690836638096 has 80 divisors (see below), whose sum is σ = 1476299260800. Its totient is φ = 310567746560.

The previous prime is 690836638091. The next prime is 690836638127.

690836638096 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (690836638091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6053661 + ... + 6166723.

It is an arithmetic number, because the mean of its divisors is an integer number (18453740760).

Almost surely, 2690836638096 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 690836638096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738149630400).

690836638096 is an abundant number, since it is smaller than the sum of its proper divisors (785462622704).

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

690836638096 is a wasteful number, since it uses less digits than its factorization.

690836638096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113464 (or 113458 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 64.

The spelling of 690836638096 in words is "six hundred ninety billion, eight hundred thirty-six million, six hundred thirty-eight thousand, ninety-six".

Divisors: 1 2 4 8 11 16 22 44 88 149 176 233 298 466 596 932 1192 1639 1864 2384 2563 3278 3728 5126 6556 10252 13112 20504 26224 34717 41008 69434 113063 138868 226126 277736 381887 452252 555472 763774 904504 1243693 1527548 1809008 2487386 3055096 4974772 6110192 9949544 16846387 19899088 26343679 33692774 52687358 67385548 105374716 134771096 185310257 210749432 269542192 289780469 370620514 421498864 579560938 741241028 1159121876 1482482056 2318243752 2964964112 3925208171 4636487504 7850416342 15700832684 31401665368 43177289881 62803330736 86354579762 172709159524 345418319048 690836638096