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4136839080 = 2335114372883
BaseRepresentation
bin1111011010010011…
…0010011110101000
3101200022012012101020
43312210302132220
531433012322310
61522254452440
7204341360223
oct36644623650
911608165336
104136839080
111833157480
12975504120
1350c09309a
142b35b45ba
151932a5170
hexf69327a8

4136839080 has 128 divisors (see below), whose sum is σ = 13853790720. Its totient is φ = 979534080.

The previous prime is 4136839073. The next prime is 4136839081. The reversal of 4136839080 is 809386314.

It is a happy number.

It is a super-2 number, since 2×41368390802 = 34226875147630492800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4136839081) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 20319 + ... + 93201.

It is an arithmetic number, because the mean of its divisors is an integer number (108232740).

Almost surely, 24136839080 is an apocalyptic number.

4136839080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4136839080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926895360).

4136839080 is an abundant number, since it is smaller than the sum of its proper divisors (9716951640).

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

4136839080 is a wasteful number, since it uses less digits than its factorization.

4136839080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72951 (or 72947 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 4136839080 is about 64318.2639691091. The cubic root of 4136839080 is about 1605.3000128216.

The spelling of 4136839080 in words is "four billion, one hundred thirty-six million, eight hundred thirty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 43 44 55 60 66 86 88 110 120 129 132 165 172 215 220 258 264 330 344 430 440 473 516 645 660 860 946 1032 1290 1320 1419 1720 1892 2365 2580 2838 3784 4730 5160 5676 7095 9460 11352 14190 18920 28380 56760 72883 145766 218649 291532 364415 437298 583064 728830 801713 874596 1093245 1457660 1603426 1749192 2186490 2405139 2915320 3133969 3206852 4008565 4372980 4810278 6267938 6413704 8017130 8745960 9401907 9620556 12025695 12535876 15669845 16034260 18803814 19241112 24051390 25071752 31339690 32068520 34473659 37607628 47009535 48102780 62679380 68947318 75215256 94019070 96205560 103420977 125358760 137894636 172368295 188038140 206841954 275789272 344736590 376076280 413683908 517104885 689473180 827367816 1034209770 1378946360 2068419540 4136839080