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5825913744 = 24371071311237
BaseRepresentation
bin1010110110100000…
…00110001110010000
3120001000111002020010
411123100012032100
543412413214434
62402033314520
7264241310160
oct53320061620
916030432203
105825913744
11251a638252
121167105a40
1371acb5851
143d3a545a0
152416eb9e9
hex15b406390

5825913744 has 160 divisors (see below), whose sum is σ = 17507736576. Its totient is φ = 1635079680.

The previous prime is 5825913739. The next prime is 5825913757. The reversal of 5825913744 is 4473195285.

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

It is a junction number, because it is equal to n+sod(n) for n = 5825913693 and 5825913702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4709094 + ... + 4710330.

Almost surely, 25825913744 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 5825913744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8753868288).

5825913744 is an abundant number, since it is smaller than the sum of its proper divisors (11681822832).

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

5825913744 is a wasteful number, since it uses less digits than its factorization.

5825913744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1487 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 5825913744 is about 76327.6735136084. The cubic root of 5825913744 is about 1799.3736240301.

The spelling of 5825913744 in words is "five billion, eight hundred twenty-five million, nine hundred thirteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 131 168 214 262 321 336 393 428 524 642 749 786 856 917 1048 1237 1284 1498 1572 1712 1834 2096 2247 2474 2568 2751 2996 3144 3668 3711 4494 4948 5136 5502 5992 6288 7336 7422 8659 8988 9896 11004 11984 14017 14672 14844 17318 17976 19792 22008 25977 28034 29688 34636 35952 42051 44016 51954 56068 59376 69272 84102 98119 103908 112136 132359 138544 162047 168204 196238 207816 224272 264718 294357 324094 336408 392476 397077 415632 486141 529436 588714 648188 672816 784952 794154 926513 972282 1058872 1134329 1177428 1296376 1569904 1588308 1853026 1944564 2117744 2268658 2354856 2592752 2779539 3176616 3402987 3706052 3889128 4537316 4709712 5559078 6353232 6805974 7412104 7778256 9074632 11118156 13611948 14824208 17339029 18149264 22236312 27223896 34678058 44472624 52017087 54447792 69356116 104034174 121373203 138712232 208068348 242746406 277424464 364119609 416136696 485492812 728239218 832273392 970985624 1456478436 1941971248 2912956872 5825913744