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31348373904 = 243219106110799
BaseRepresentation
bin11101001100100000…
…100011100110010000
32222220201111101122100
4131030200203212100
51003200140431104
622222400240400
72156561532051
oct351440434620
988821441570
1031348373904
1112327381331
1260aa610100
132c57839293
14173555c728
15c371c2139
hex74c823990

31348373904 has 120 divisors (see below), whose sum is σ = 92444976000. Its totient is φ = 9889240320.

The previous prime is 31348373863. The next prime is 31348373921. The reversal of 31348373904 is 40937384313.

It is a happy number.

31348373904 is a `hidden beast` number, since 3 + 13 + 483 + 73 + 90 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 31348373904.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2897497 + ... + 2908295.

It is an arithmetic number, because the mean of its divisors is an integer number (770374800).

Almost surely, 231348373904 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 31348373904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46222488000).

31348373904 is an abundant number, since it is smaller than the sum of its proper divisors (61096602096).

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

31348373904 is a wasteful number, since it uses less digits than its factorization.

31348373904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11893 (or 11884 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 31348373904 in words is "thirty-one billion, three hundred forty-eight million, three hundred seventy-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1061 1368 2122 2736 3183 4244 6366 8488 9549 10799 12732 16976 19098 20159 21598 25464 32397 38196 40318 43196 50928 60477 64794 76392 80636 86392 97191 120954 129588 152784 161272 172784 181431 194382 205181 241908 259176 322544 362862 388764 410362 483816 518352 615543 725724 777528 820724 967632 1231086 1451448 1555056 1641448 1846629 2462172 2902896 3282896 3693258 4924344 7386516 9848688 11457739 14773032 22915478 29546064 34373217 45830956 68746434 91661912 103119651 137492868 183323824 206239302 217697041 274985736 412478604 435394082 549971472 653091123 824957208 870788164 1306182246 1649914416 1741576328 1959273369 2612364492 3483152656 3918546738 5224728984 7837093476 10449457968 15674186952 31348373904