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681424253972 = 2272112979137957
BaseRepresentation
bin10011110101010000000…
…11001111010000010100
32102010212121221201122022
421322220003033100110
542131024102111342
61241013022352312
7100142220406400
oct11725003172024
92363777851568
10681424253972
11242a99254780
12b009372b698
134c347b83547
1424da4246100
1512ad33c29d2
hex9ea80cf414

681424253972 has 144 divisors (see below), whose sum is σ = 1585302969600. Its totient is φ = 253088559360.

The previous prime is 681424253963. The next prime is 681424253987. The reversal of 681424253972 is 279352424186.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4870418 + ... + 5008374.

It is an arithmetic number, because the mean of its divisors is an integer number (11009048400).

Almost surely, 2681424253972 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 681424253972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792651484800).

681424253972 is an abundant number, since it is smaller than the sum of its proper divisors (903878715628).

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

681424253972 is a wasteful number, since it uses less digits than its factorization.

681424253972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138094 (or 138085 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 53.

The spelling of 681424253972 in words is "six hundred eighty-one billion, four hundred twenty-four million, two hundred fifty-three thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 11 14 22 28 29 44 49 58 77 79 98 116 154 158 196 203 308 316 319 406 539 553 638 812 869 1078 1106 1276 1421 1738 2156 2212 2233 2291 2842 3476 3871 4466 4582 5684 6083 7742 8932 9164 12166 15484 15631 16037 24332 25201 31262 32074 42581 50402 62524 64148 85162 100804 112259 137957 170324 176407 224518 275914 352814 449036 551828 705628 965699 1234849 1517527 1931398 2469698 3035054 3862796 4000753 4939396 6070108 6759893 8001506 10622689 10898603 13519786 16003012 21245378 21797206 27039572 28005271 42490756 43594412 44008283 56010542 74358823 76290221 88016566 112021084 119884633 148717646 152580442 176033132 196036897 239769266 297435292 305160884 308057981 316059487 392073794 479538532 534031547 616115962 632118974 784147588 839192431 1068063094 1232231924 1264237948 1678384862 2136126188 2156405867 2212416409 3356769724 3476654357 4312811734 4424832818 5874347017 6953308714 8625623468 8849665636 11748694034 13906617428 15486914863 23497388068 24336580499 30973829726 48673160998 61947659452 97346321996 170356063493 340712126986 681424253972