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5831880672 = 253194177983
BaseRepresentation
bin1010110111001101…
…10110111111100000
3120001102201020022110
411123212312333200
543420430140142
62402405235320
7264343111362
oct53346667740
916042636273
105831880672
112522a432a2
121169102b40
1371c2c4787
143d4768d32
15241ec999c
hex15b9b6fe0

5831880672 has 96 divisors (see below), whose sum is σ = 16507653120. Its totient is φ = 1796705280.

The previous prime is 5831880671. The next prime is 5831880683. The reversal of 5831880672 is 2760881385.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5831880671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35793 + ... + 113775.

It is an arithmetic number, because the mean of its divisors is an integer number (171954720).

Almost surely, 25831880672 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 5831880672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253826560).

5831880672 is an abundant number, since it is smaller than the sum of its proper divisors (10675772448).

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

5831880672 is a wasteful number, since it uses less digits than its factorization.

5831880672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78056 (or 78048 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 5831880672 is about 76366.7510897249. The cubic root of 5831880672 is about 1799.9877233731.

The spelling of 5831880672 in words is "five billion, eight hundred thirty-one million, eight hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 76 82 96 114 123 152 164 228 246 304 328 456 492 608 656 779 912 984 1312 1558 1824 1968 2337 3116 3936 4674 6232 9348 12464 18696 24928 37392 74784 77983 155966 233949 311932 467898 623864 935796 1247728 1481677 1871592 2495456 2963354 3197303 3743184 4445031 5926708 6394606 7486368 8890062 9591909 11853416 12789212 17780124 19183818 23706832 25578424 35560248 38367636 47413664 51156848 60748757 71120496 76735272 102313696 121497514 142240992 153470544 182246271 242995028 306941088 364492542 485990056 728985084 971980112 1457970168 1943960224 2915940336 5831880672