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7068340448 = 2513127337397
BaseRepresentation
bin1101001010100111…
…00101000011100000
3200020121022220020222
412211103211003200
5103433443343243
63125215022212
7340105621361
oct64523450340
920217286228
107068340448
112aa7991884
12145320a968
13888513290
144b0a69b68
152b5818168
hex1a54e50e0

7068340448 has 96 divisors (see below), whose sum is σ = 15187221504. Its totient is φ = 3218890752.

The previous prime is 7068340439. The next prime is 7068340453. The reversal of 7068340448 is 8440438607.

It is a super-3 number, since 3×70683404483 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 7068340399 and 7068340408.

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, 17804186 + ... + 17804582.

It is an arithmetic number, because the mean of its divisors is an integer number (158200224).

Almost surely, 27068340448 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 7068340448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7593610752).

7068340448 is an abundant number, since it is smaller than the sum of its proper divisors (8118881056).

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

7068340448 is a wasteful number, since it uses less digits than its factorization.

7068340448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The square root of 7068340448 is about 84073.4229587448. The cubic root of 7068340448 is about 1919.1362984481.

The spelling of 7068340448 in words is "seven billion, sixty-eight million, three hundred forty thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 127 208 254 337 397 416 508 674 794 1016 1348 1588 1651 2032 2696 3176 3302 4064 4381 5161 5392 6352 6604 8762 10322 10784 12704 13208 17524 20644 26416 35048 41288 42799 50419 52832 70096 82576 85598 100838 133789 140192 165152 171196 201676 267578 342392 403352 535156 556387 655447 684784 806704 1070312 1112774 1310894 1369568 1613408 1739257 2140624 2225548 2621788 3478514 4281248 4451096 5243576 6957028 8902192 10487152 13914056 16991203 17804384 20974304 27828112 33982406 55656224 67964812 135929624 220885639 271859248 441771278 543718496 883542556 1767085112 3534170224 7068340448