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32055541104 = 2435967241701
BaseRepresentation
bin11101110110101010…
…001011110101110000
310001202000011012200010
4131312222023311300
51011122204303404
622420501254520
72213236414026
oct356652136560
9101660135603
1032055541104
111265a576534
126267404440
13303b1b7a02
1417a1440716
15c7930d189
hex776a8bd70

32055541104 has 160 divisors (see below), whose sum is σ = 85947713280. Its totient is φ = 10289664000.

The previous prime is 32055541093. The next prime is 32055541109. The reversal of 32055541104 is 40114555023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32055541109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45727954 + ... + 45728654.

It is an arithmetic number, because the mean of its divisors is an integer number (537173208).

Almost surely, 232055541104 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 32055541104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42973856640).

32055541104 is an abundant number, since it is smaller than the sum of its proper divisors (53892172176).

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

32055541104 is a wasteful number, since it uses less digits than its factorization.

32055541104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1073 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The spelling of 32055541104 in words is "thirty-two billion, fifty-five million, five hundred forty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 67 118 134 177 201 236 241 268 354 402 472 482 536 701 708 723 804 944 964 1072 1402 1416 1446 1608 1928 2103 2804 2832 2892 3216 3856 3953 4206 5608 5784 7906 8412 11216 11568 11859 14219 15812 16147 16824 23718 28438 31624 32294 33648 41359 42657 46967 47436 48441 56876 63248 64588 82718 85314 93934 94872 96882 113752 124077 129176 140901 165436 168941 170628 187868 189744 193764 227504 248154 258352 281802 330872 337882 341256 375736 387528 496308 506823 563604 661744 675764 682512 751472 775056 952673 992616 1013646 1127208 1351528 1905346 1985232 2027292 2254416 2703056 2771053 2858019 3810692 4054584 5542106 5716038 7621384 8109168 8313159 9967519 11084212 11319047 11432076 15242768 16626318 19935038 22168424 22638094 22864152 29902557 33252636 33957141 39870076 44336848 45276188 45728304 59805114 66505272 67914282 79740152 90552376 119610228 133010544 135828564 159480304 181104752 239220456 271657128 478440912 543314256 667823773 1335647546 2003471319 2671295092 4006942638 5342590184 8013885276 10685180368 16027770552 32055541104