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2059777104 = 2437111813079
BaseRepresentation
bin111101011000101…
…1011010001010000
312022112211111222220
41322301123101100
513204300331404
6540220101040
7102020550030
oct17261332120
95275744886
102059777104
11967766030
12495994780
1326a976a28
141577b98c0
15c0c6e4d9
hex7ac5b450

2059777104 has 160 divisors (see below), whose sum is σ = 6672906240. Its totient is φ = 531878400.

The previous prime is 2059777091. The next prime is 2059777151. The reversal of 2059777104 is 4017779502.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667437 + ... + 670515.

It is an arithmetic number, because the mean of its divisors is an integer number (41705664).

Almost surely, 22059777104 is an apocalyptic number.

2059777104 is a gapful number since it is divisible by the number (24) 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 2059777104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336453120).

2059777104 is an abundant number, since it is smaller than the sum of its proper divisors (4613129136).

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

2059777104 is a wasteful number, since it uses less digits than its factorization.

2059777104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3289 (or 3283 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The square root of 2059777104 is about 45384.7673123924. The cubic root of 2059777104 is about 1272.3504334897.

The spelling of 2059777104 in words is "two billion, fifty-nine million, seven hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 181 231 264 308 336 362 462 528 543 616 724 924 1086 1232 1267 1448 1848 1991 2172 2534 2896 3079 3696 3801 3982 4344 5068 5973 6158 7602 7964 8688 9237 10136 11946 12316 13937 15204 15928 18474 20272 21553 23892 24632 27874 30408 31856 33869 36948 41811 43106 47784 49264 55748 60816 64659 67738 73896 83622 86212 95568 101607 111496 129318 135476 147792 167244 172424 203214 222992 237083 258636 270952 334488 344848 406428 474166 517272 541904 557299 668976 711249 812856 948332 1034544 1114598 1422498 1625712 1671897 1896664 2229196 2844996 3343794 3793328 3901093 4458392 5689992 6130289 6687588 7802186 8916784 11379984 11703279 12260578 13375176 15604372 18390867 23406558 24521156 26750352 31208744 36781734 42912023 46813116 49042312 62417488 73563468 85824046 93626232 98084624 128736069 147126936 171648092 187252464 257472138 294253872 343296184 514944276 686592368 1029888552 2059777104