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676051446080 = 265113132114153
BaseRepresentation
bin10011101011001111100…
…11100110100101000000
32101122000012001210210102
421311213303212211000
542034023132233310
61234323532421532
766562120322423
oct11654763464500
92348005053712
10676051446080
1124079146467a
12ab0343178a8
134b99ca1428a
1424a1485b9ba
15128bb8798a5
hex9d67ce6940

676051446080 has 112 divisors (see below), whose sum is σ = 1625438226384. Its totient is φ = 267805655040.

The previous prime is 676051446073. The next prime is 676051446131. The reversal of 676051446080 is 80644150676.

676051446080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 27227640064 + 648823806016 = 165008^2 + 805496^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47760284 + ... + 47774436.

It is an arithmetic number, because the mean of its divisors is an integer number (14512841307).

Almost surely, 2676051446080 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 676051446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812719113192).

676051446080 is an abundant number, since it is smaller than the sum of its proper divisors (949386780304).

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

676051446080 is a wasteful number, since it uses less digits than its factorization.

676051446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15604 (or 15594 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The spelling of 676051446080 in words is "six hundred seventy-six billion, fifty-one million, four hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 113 160 226 320 452 565 904 1130 1321 1808 2260 2642 3616 4520 5284 6605 7232 9040 10568 13210 14153 18080 21136 26420 28306 36160 42272 52840 56612 70765 84544 105680 113224 141530 149273 211360 226448 283060 298546 422720 452896 566120 597092 746365 905792 1132240 1194184 1492730 1599289 2264480 2388368 2985460 3198578 4528960 4776736 5970920 6397156 7996445 9553472 11941840 12794312 15992890 18696113 23883680 25588624 31985780 37392226 47767360 51177248 63971560 74784452 93480565 102354496 127943120 149568904 186961130 255886240 299137808 373922260 511772480 598275616 747844520 1196551232 1495689040 2112660769 2991378080 4225321538 5982756160 8450643076 10563303845 16901286152 21126607690 33802572304 42253215380 67605144608 84506430760 135210289216 169012861520 338025723040 676051446080