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3138845568 = 273371731277
BaseRepresentation
bin1011101100010110…
…1111101110000000
322002202021212122120
42323011233232000
522412021024233
61235244204240
7140532514155
oct27305575600
98082255576
103138845568
111370884151
12737239680
133b03a9291
1421ac2a22c
1513586d4b3
hexbb16fb80

3138845568 has 128 divisors (see below), whose sum is σ = 8619138720. Its totient is φ = 1011326976.

The previous prime is 3138845491. The next prime is 3138845639. The reversal of 3138845568 is 8655488313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3138845568.

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 15 ways as a sum of consecutive naturals, for example, 2457346 + ... + 2458622.

Almost surely, 23138845568 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 3138845568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309569360).

3138845568 is an abundant number, since it is smaller than the sum of its proper divisors (5480293152).

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

3138845568 is a wasteful number, since it uses less digits than its factorization.

3138845568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1492 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 51.

The square root of 3138845568 is about 56025.4010962885. The cubic root of 3138845568 is about 1464.1648713958.

The spelling of 3138845568 in words is "three billion, one hundred thirty-eight million, eight hundred forty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 173 192 222 296 346 384 444 519 592 692 888 1038 1184 1277 1384 1776 2076 2368 2554 2768 3552 3831 4152 4736 5108 5536 6401 7104 7662 8304 10216 11072 12802 14208 15324 16608 19203 20432 22144 25604 30648 33216 38406 40864 47249 51208 61296 66432 76812 81728 94498 102416 122592 141747 153624 163456 188996 204832 220921 245184 283494 307248 377992 409664 441842 490368 566988 614496 662763 755984 819328 883684 1133976 1228992 1325526 1511968 1767368 2267952 2457984 2651052 3023936 3534736 4535904 5302104 6047872 7069472 8174077 9071808 10604208 14138944 16348154 18143616 21208416 24522231 28277888 32696308 42416832 49044462 65392616 84833664 98088924 130785232 196177848 261570464 392355696 523140928 784711392 1046281856 1569422784 3138845568