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2685473024 = 281337113193
BaseRepresentation
bin1010000000010001…
…0001000100000000
320221011012011102212
42200010101010000
520444440114044
61122251001252
7123356100263
oct24004210400
96834164385
102685473024
1111589746a3
1262b439228
1333a49b4c0
141b6930cda
1510ab65a9e
hexa0111100

2685473024 has 144 divisors (see below), whose sum is σ = 6012278832. Its totient is φ = 1189085184.

The previous prime is 2685472943. The next prime is 2685473027. The reversal of 2685473024 is 4203745862.

It can be written as a sum of positive squares in 8 ways, for example, as 465178624 + 2220294400 = 21568^2 + 47120^2 .

It is not an unprimeable number, because it can be changed into a prime (2685473027) 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, 13914272 + ... + 13914464.

Almost surely, 22685473024 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 2685473024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006139416).

2685473024 is an abundant number, since it is smaller than the sum of its proper divisors (3326805808).

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

2685473024 is a wasteful number, since it uses less digits than its factorization.

2685473024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The square root of 2685473024 is about 51821.5498031466. The cubic root of 2685473024 is about 1389.9748152020.

The spelling of 2685473024 in words is "two billion, six hundred eighty-five million, four hundred seventy-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 26 32 37 52 64 74 104 113 128 148 193 208 226 256 296 386 416 452 481 592 772 832 904 962 1184 1469 1544 1664 1808 1924 2368 2509 2938 3088 3328 3616 3848 4181 4736 5018 5876 6176 7141 7232 7696 8362 9472 10036 11752 12352 14282 14464 15392 16724 20072 21809 23504 24704 28564 28928 30784 33448 40144 43618 47008 49408 54353 57128 61568 66896 80288 87236 92833 94016 108706 114256 123136 133792 160576 174472 185666 188032 217412 228512 267584 283517 321152 348944 371332 376064 434824 457024 535168 567034 642304 697888 742664 806933 869648 914048 1070336 1134068 1395776 1485328 1613866 1739296 1828096 2268136 2791552 2970656 3227732 3478592 4536272 5583104 5941312 6455464 6957184 9072544 10490129 11882624 12910928 13914368 18145088 20980258 23765248 25821856 36290176 41960516 51643712 72580352 83921032 103287424 167842064 206574848 335684128 671368256 1342736512 2685473024