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7085037472 = 254114933617
BaseRepresentation
bin1101001100100110…
…10001011110100000
3200021202202012021021
412212103101132200
5104002232144342
63131012535224
7340400552632
oct64623213640
920252665237
107085037472
113006356577
121458921514
1388bb0b186
144b2d74a52
152b7015567
hex1a64d17a0

7085037472 has 48 divisors (see below), whose sum is σ = 14302402632. Its totient is φ = 3452846080.

The previous prime is 7085037437. The next prime is 7085037493. The reversal of 7085037472 is 2747305807.

It can be written as a sum of positive squares in 4 ways, for example, as 3286040976 + 3798996496 = 57324^2 + 61636^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1957008 + ... + 1960624.

Almost surely, 27085037472 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 7085037472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7151201316).

7085037472 is an abundant number, since it is smaller than the sum of its proper divisors (7217365160).

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

7085037472 is a wasteful number, since it uses less digits than its factorization.

7085037472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161 (or 5153 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 43.

The square root of 7085037472 is about 84172.6646364483. The cubic root of 7085037472 is about 1920.6462552526.

The spelling of 7085037472 in words is "seven billion, eighty-five million, thirty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 1493 2986 3617 5972 7234 11944 14468 23888 28936 47776 57872 61213 115744 122426 148297 244852 296594 489704 593188 979408 1186376 1958816 2372752 4745504 5400181 10800362 21600724 43201448 86402896 172805792 221407421 442814842 885629684 1771259368 3542518736 7085037472