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4697270144 = 27721315717
BaseRepresentation
bin1000101111111101…
…01010011110000000
3110010100202001021022
410113332222132000
534110000121034
62054034445012
7224255065100
oct42776523600
913110661238
104697270144
111aa0539646
12ab1133768
1359b2163b8
14327bbb200
151c75a8b2e
hex117faa780

4697270144 has 96 divisors (see below), whose sum is σ = 10970669160. Its totient is φ = 1997399040.

The previous prime is 4697270131. The next prime is 4697270161. The reversal of 4697270144 is 4410727964.

It is a super-3 number, since 3×46972701443 (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4697270095 and 4697270104.

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 11 ways as a sum of consecutive naturals, for example, 818774 + ... + 824490.

Almost surely, 24697270144 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 4697270144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485334580).

4697270144 is an abundant number, since it is smaller than the sum of its proper divisors (6273399016).

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

4697270144 is a wasteful number, since it uses less digits than its factorization.

4697270144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5876 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 44.

The square root of 4697270144 is about 68536.6335910949. The cubic root of 4697270144 is about 1674.7443160925.

The spelling of 4697270144 in words is "four billion, six hundred ninety-seven million, two hundred seventy thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 131 196 224 262 392 448 524 784 896 917 1048 1568 1834 2096 3136 3668 4192 5717 6272 6419 7336 8384 11434 12838 14672 16768 22868 25676 29344 40019 45736 51352 58688 80038 91472 102704 117376 160076 182944 205408 280133 320152 365888 410816 560266 640304 731776 748927 821632 1120532 1280608 1497854 2241064 2561216 2995708 4482128 5122432 5242489 5991416 8964256 10484978 11982832 17928512 20969956 23965664 35857024 36697423 41939912 47931328 73394846 83879824 95862656 146789692 167759648 293579384 335519296 587158768 671038592 1174317536 2348635072 4697270144