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6039220096 = 27713796563
BaseRepresentation
bin1011001111111011…
…10010111110000000
3120120212212011112101
411213331302332000
544332020020341
62435133240144
7302441344450
oct54775627600
916525764471
106039220096
112619a89498
121206633054
1375324b620
144140dbd60
152552d3831
hex167f72f80

6039220096 has 128 divisors (see below), whose sum is σ = 14997427200. Its totient is φ = 2358540288.

The previous prime is 6039220087. The next prime is 6039220123. The reversal of 6039220096 is 6900229306.

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

It is a congruent number.

It is an unprimeable number.

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, 916911 + ... + 923473.

It is an arithmetic number, because the mean of its divisors is an integer number (117167400).

Almost surely, 26039220096 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 6039220096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7498713600).

6039220096 is an abundant number, since it is smaller than the sum of its proper divisors (8958207104).

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

6039220096 is a wasteful number, since it uses less digits than its factorization.

6039220096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6676 (or 6664 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 37.

The square root of 6039220096 is about 77712.4191876691. The cubic root of 6039220096 is about 1821.0713106602.

The spelling of 6039220096 in words is "six billion, thirty-nine million, two hundred twenty thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 79 91 104 112 128 158 182 208 224 316 364 416 448 553 632 728 832 896 1027 1106 1264 1456 1664 2054 2212 2528 2912 4108 4424 5056 5824 6563 7189 8216 8848 10112 11648 13126 14378 16432 17696 26252 28756 32864 35392 45941 52504 57512 65728 70784 85319 91882 105008 115024 131456 170638 183764 210016 230048 341276 367528 420032 460096 518477 597233 682552 735056 840064 920192 1036954 1194466 1365104 1470112 2073908 2388932 2730208 2940224 3629339 4147816 4777864 5460416 5880448 6740201 7258678 8295632 9555728 10920832 13480402 14517356 16591264 19111456 26960804 29034712 33182528 38222912 47181407 53921608 58069424 66365056 76445824 94362814 107843216 116138848 188725628 215686432 232277696 377451256 431372864 464555392 754902512 862745728 1509805024 3019610048 6039220096