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32313199104 = 293686573
BaseRepresentation
bin11110000110000001…
…000100101000000000
310002101221222121000000
4132012001010220000
51012134134332404
622502224000000
72222515442364
oct360601045000
9102357877000
1032313199104
1112781a5a82a
126319760000
13307c6abc74
1417c77512a4
15c91c56339
hex786044a00

32313199104 has 140 divisors (see below), whose sum is σ = 96801765786. Its totient is φ = 10770941952.

The previous prime is 32313199097. The next prime is 32313199183. The reversal of 32313199104 is 40199131323.

32313199104 is a `hidden beast` number, since 3 + 231 + 319 + 9 + 104 = 666.

It can be written as a sum of positive squares in only one way, i.e., 31524712704 + 788486400 = 177552^2 + 28080^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 329962 + ... + 416534.

Almost surely, 232313199104 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 32313199104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48400882893).

32313199104 is an abundant number, since it is smaller than the sum of its proper divisors (64488566682).

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

32313199104 is an frugal number, since it uses more digits than its factorization.

32313199104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86609 (or 86578 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

It can be divided in two parts, 3231319 and 9104, that added together give a palindrome (3240423).

The spelling of 32313199104 in words is "thirty-two billion, three hundred thirteen million, one hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1152 1296 1458 1536 1728 1944 2304 2592 2916 3456 3888 4608 5184 5832 6912 7776 10368 11664 13824 15552 20736 23328 31104 41472 46656 62208 86573 93312 124416 173146 186624 259719 346292 373248 519438 692584 779157 1038876 1385168 1558314 2077752 2337471 2770336 3116628 4155504 4674942 5540672 6233256 7012413 8311008 9349884 11081344 12466512 14024826 16622016 18699768 21037239 22162688 24933024 28049652 33244032 37399536 42074478 44325376 49866048 56099304 63111717 66488064 74799072 84148956 99732096 112198608 126223434 132976128 149598144 168297912 199464192 224397216 252446868 299196288 336595824 398928384 448794432 504893736 598392576 673191648 897588864 1009787472 1196785152 1346383296 1795177728 2019574944 2692766592 3590355456 4039149888 5385533184 8078299776 10771066368 16156599552 32313199104