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31330067840 = 275227215653
BaseRepresentation
bin11101001011011010…
…101110010110000000
32222212110001100102222
4131023122232112000
51003130444132330
622220504030212
72156250116441
oct351332562600
988773040388
1031330067840
1112318008755
1260a4462368
132c53ac9ba6
141732d552c8
15c357a80e5
hex74b6ae580

31330067840 has 64 divisors (see below), whose sum is σ = 75228741360. Its totient is φ = 12476762112.

The previous prime is 31330067837. The next prime is 31330067891. The reversal of 31330067840 is 4876003313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 31330067840.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37454 + ... + 253106.

Almost surely, 231330067840 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 31330067840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37614370680).

31330067840 is an abundant number, since it is smaller than the sum of its proper divisors (43898673520).

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

31330067840 is a wasteful number, since it uses less digits than its factorization.

31330067840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215899 (or 215887 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 35.

The spelling of 31330067840 in words is "thirty-one billion, three hundred thirty million, sixty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 227 320 454 640 908 1135 1816 2270 3632 4540 7264 9080 14528 18160 29056 36320 72640 145280 215653 431306 862612 1078265 1725224 2156530 3450448 4313060 6900896 8626120 13801792 17252240 27603584 34504480 48953231 69008960 97906462 138017920 195812924 244766155 391625848 489532310 783251696 979064620 1566503392 1958129240 3133006784 3916258480 6266013568 7832516960 15665033920 31330067840