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3672028568 = 23132310714347
BaseRepresentation
bin1101101011011110…
…1011010110011000
3100110220120101020002
43122313223112120
530010014403233
61404212152132
7156665504435
oct33267532630
910426511202
103672028568
11161484545a
12865908648
134669ac090
1426b97cb8c
1516758d6e8
hexdadeb598

3672028568 has 64 divisors (see below), whose sum is σ = 7809903360. Its totient is φ = 1605833856.

The previous prime is 3672028567. The next prime is 3672028571. The reversal of 3672028568 is 8658202763.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672028561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248771 + ... + 263117.

It is an arithmetic number, because the mean of its divisors is an integer number (122029740).

Almost surely, 23672028568 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 3672028568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904951680).

3672028568 is an abundant number, since it is smaller than the sum of its proper divisors (4137874792).

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

3672028568 is a wasteful number, since it uses less digits than its factorization.

3672028568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14496 (or 14492 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 47.

The square root of 3672028568 is about 60597.2653508391. The cubic root of 3672028568 is about 1542.7729552763.

The spelling of 3672028568 in words is "three billion, six hundred seventy-two million, twenty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 107 184 214 299 428 598 856 1196 1391 2392 2461 2782 4922 5564 9844 11128 14347 19688 28694 31993 57388 63986 114776 127972 186511 255944 329981 373022 659962 746044 1319924 1492088 1535129 2639848 3070258 4289753 6140516 8579506 12281032 17159012 19956677 34318024 35307967 39913354 70615934 79826708 141231868 159653416 282463736 459003571 918007142 1836014284 3672028568