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4542817136 = 2411136073271
BaseRepresentation
bin1000011101100010…
…11110001101110000
3102201121010000120112
410032301132031300
533300430122021
62030440200452
7220401210554
oct41661361560
912647100515
104542817136
111a21335830
12a69469128
135752186a0
14311493864
151b8c49d5b
hex10ec5e370

4542817136 has 80 divisors (see below), whose sum is σ = 10360670208. Its totient is φ = 1902355200.

The previous prime is 4542817127. The next prime is 4542817177. The reversal of 4542817136 is 6317182454.

It is a super-2 number, since 2×45428171362 = 41274375062270484992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4542817093 and 4542817102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1387181 + ... + 1390451.

Almost surely, 24542817136 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 4542817136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5180335104).

4542817136 is an abundant number, since it is smaller than the sum of its proper divisors (5817853072).

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

4542817136 is a wasteful number, since it uses less digits than its factorization.

4542817136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3904 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 4542817136 is about 67400.4238562340. The cubic root of 4542817136 is about 1656.1833659277.

The spelling of 4542817136 in words is "four billion, five hundred forty-two million, eight hundred seventeen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 52 88 104 143 176 208 286 572 607 1144 1214 2288 2428 3271 4856 6542 6677 7891 9712 13084 13354 15782 26168 26708 31564 35981 42523 52336 53416 63128 71962 85046 86801 106832 126256 143924 170092 173602 287848 340184 347204 467753 575696 680368 694408 935506 1388816 1871012 1985497 3742024 3970994 7484048 7941988 15883976 21840467 25811461 31767952 43680934 51622922 87361868 103245844 174723736 206491688 283926071 349447472 412983376 567852142 1135704284 2271408568 4542817136