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4136554002 = 2371723331761
BaseRepresentation
bin1111011010001110…
…1100111000010010
3101200021122201022210
43312203230320102
531432424212002
61522244412550
7204336062130
oct36643547022
911607581283
104136554002
111832a82279
129753a7156
1350bcc33b9
142b353c750
1519324a96c
hexf68ece12

4136554002 has 128 divisors (see below), whose sum is σ = 10491752448. Its totient is φ = 1059379200.

The previous prime is 4136553991. The next prime is 4136554007. The reversal of 4136554002 is 2004556314.

It is a super-2 number, since 2×41365540022 = 34222158022924432008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4136554007) 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 63 ways as a sum of consecutive naturals, for example, 5435302 + ... + 5436062.

It is an arithmetic number, because the mean of its divisors is an integer number (81966816).

Almost surely, 24136554002 is an apocalyptic number.

4136554002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4136554002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5245876224).

4136554002 is an abundant number, since it is smaller than the sum of its proper divisors (6355198446).

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

4136554002 is a wasteful number, since it uses less digits than its factorization.

4136554002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 4136554002 is about 64316.0477796949. The cubic root of 4136554002 is about 1605.2631371442.

The spelling of 4136554002 in words is "four billion, one hundred thirty-six million, five hundred fifty-four thousand, two".

Divisors: 1 2 3 6 7 14 17 21 23 34 42 46 51 69 102 119 138 161 238 322 331 357 391 483 662 714 761 782 966 993 1173 1522 1986 2283 2317 2346 2737 4566 4634 5327 5474 5627 6951 7613 8211 10654 11254 12937 13902 15226 15981 16422 16881 17503 22839 25874 31962 33762 35006 38811 39389 45678 52509 53291 77622 78778 90559 105018 106582 118167 122521 129421 159873 181118 236334 245042 251891 258842 271677 297551 319746 367563 388263 503782 543354 595102 735126 755673 776526 892653 905947 1511346 1763237 1785306 1811894 2082857 2717841 3526474 4165714 4282147 5289711 5435682 5793493 6248571 8564294 10579422 11586986 12497142 12846441 17380479 25692882 29975029 34760958 40554451 59950058 81108902 89925087 98489381 121663353 179850174 196978762 243326706 295468143 590936286 689425667 1378851334 2068277001 4136554002