Search a number
-
+
688158028884 = 2231771178326647
BaseRepresentation
bin10100000001110010110…
…10100011010001010100
32102210020220201221021010
422000321122203101110
542233321423411014
61244045130452220
7100501124506254
oct12007132432124
92383226657233
10688158028884
112459342a3507
12b1452894070
134cb7bc85941
14254426a1964
1512d79650359
hexa0396a3454

688158028884 has 96 divisors (see below), whose sum is σ = 1725132681216. Its totient is φ = 212724610560.

The previous prime is 688158028871. The next prime is 688158028903. The reversal of 688158028884 is 488820851886.

It is a super-3 number, since 3×6881580288843 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25811649 + ... + 25838295.

It is an arithmetic number, because the mean of its divisors is an integer number (17970132096).

Almost surely, 2688158028884 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 688158028884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (862566340608).

688158028884 is an abundant number, since it is smaller than the sum of its proper divisors (1036974652332).

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

688158028884 is a wasteful number, since it uses less digits than its factorization.

688158028884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28525 (or 28523 counting only the distinct ones).

The product of its (nonzero) digits is 62914560, while the sum is 66.

The spelling of 688158028884 in words is "six hundred eighty-eight billion, one hundred fifty-eight million, twenty-eight thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 852 1207 1783 2414 3566 3621 4828 5349 7132 7242 10698 14484 21396 26647 30311 53294 60622 79941 90933 106588 121244 126593 159882 181866 253186 319764 363732 379779 452999 506372 759558 905998 1358997 1519116 1811996 1891937 2152081 2717994 3783874 4304162 5435988 5675811 6456243 7567748 8608324 11351622 12912486 22703244 25824972 32162929 47511601 64325858 95023202 96488787 128651716 142534803 190046404 192977574 285069606 385955148 570139212 807697217 1615394434 2423091651 3230788868 3373323671 4846183302 6746647342 9692366604 10119971013 13493294684 20239942026 40479884052 57346502407 114693004814 172039507221 229386009628 344079014442 688158028884