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32454105112 = 231113377110799
BaseRepresentation
bin11110001110011010…
…100101100000011000
310002202210010100201001
4132032122211200120
51012431222330422
622524220034344
72226146225152
oct361632454030
9102683110631
1032454105112
1112844550580
1263589929b4
1330a29457c0
1417dc34dad2
15c9e2db227
hex78e6a5818

32454105112 has 128 divisors (see below), whose sum is σ = 74462976000. Its totient is φ = 13061260800.

The previous prime is 32454105071. The next prime is 32454105121. The reversal of 32454105112 is 21150145423.

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, 2999889 + ... + 3010687.

It is an arithmetic number, because the mean of its divisors is an integer number (581742000).

Almost surely, 232454105112 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 32454105112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37231488000).

32454105112 is an abundant number, since it is smaller than the sum of its proper divisors (42008870888).

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

32454105112 is a wasteful number, since it uses less digits than its factorization.

32454105112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10937 (or 10933 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The spelling of 32454105112 in words is "thirty-two billion, four hundred fifty-four million, one hundred five thousand, one hundred twelve".

Divisors: 1 2 4 8 11 13 22 26 37 44 52 71 74 88 104 142 143 148 284 286 296 407 481 568 572 781 814 923 962 1144 1562 1628 1846 1924 2627 3124 3256 3692 3848 5254 5291 6248 7384 10153 10508 10582 10799 20306 21016 21164 21598 28897 34151 40612 42328 43196 57794 68302 81224 86392 115588 118789 136604 140387 231176 237578 273208 280774 375661 399563 475156 561548 751322 766729 799126 950312 1123096 1502644 1533458 1544257 1598252 3005288 3066916 3088514 3196504 4395193 5194319 6133832 6177028 8434019 8790386 9967477 10388638 12354056 16868038 17580772 19934954 20777276 28368973 33736076 35161544 39869908 41554552 56737946 57137509 67472152 79739816 109642247 113475892 114275018 219284494 226951784 228550036 312058703 368796649 438568988 457100072 624117406 737593298 877137976 1248234812 1475186596 2496469624 2950373192 4056763139 8113526278 16227052556 32454105112