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32055312432 = 243111321122133
BaseRepresentation
bin11101110110101001…
…010100000000110000
310001201222201120222210
4131312221110000300
51011122124444212
622420452332120
72213234442243
oct356651240060
9101658646883
1032055312432
111265a42a750
126267314040
13303b1378c0
1417a13c125a
15c792b553c
hex776a54030

32055312432 has 160 divisors (see below), whose sum is σ = 97752243456. Its totient is φ = 8923622400.

The previous prime is 32055312427. The next prime is 32055312439. The reversal of 32055312432 is 23421355023.

It is a super-2 number, since 2×320553124322 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 32055312432.

It is not an unprimeable number, because it can be changed into a prime (32055312439) 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, 1437238 + ... + 1459370.

Almost surely, 232055312432 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 32055312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48876121728).

32055312432 is an abundant number, since it is smaller than the sum of its proper divisors (65696931024).

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

32055312432 is a wasteful number, since it uses less digits than its factorization.

32055312432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22379 (or 22373 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 32055312432 its reverse (23421355023), we get a palindrome (55476667455).

The spelling of 32055312432 in words is "thirty-two billion, fifty-five million, three hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 211 264 286 312 422 429 528 572 624 633 844 858 1144 1266 1688 1716 2288 2321 2532 2743 3376 3432 4642 5064 5486 6864 6963 8229 9284 10128 10972 13926 16458 18568 21944 22133 27852 30173 32916 37136 43888 44266 55704 60346 65832 66399 88532 90519 111408 120692 131664 132798 177064 181038 241384 243463 265596 287729 354128 362076 482768 486926 531192 575458 724152 730389 863187 973852 1062384 1150916 1448304 1460778 1726374 1947704 2301832 2921556 3165019 3452748 3895408 4603664 4670063 5843112 6330038 6905496 9340126 9495057 11686224 12660076 13810992 14010189 18680252 18990114 25320152 28020378 37360504 37980228 50640304 51370693 56040756 60710819 74721008 75960456 102741386 112081512 121421638 151920912 154112079 182132457 205482772 224163024 242843276 308224158 364264914 410965544 485686552 616448316 667819009 728529828 821931088 971373104 1232896632 1335638018 1457059656 2003457027 2465793264 2671276036 2914119312 4006914054 5342552072 8013828108 10685104144 16027656216 32055312432