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5840312544 = 25351168279
BaseRepresentation
bin1010111000001110…
…00001100011100000
3120002000120121200000
411130013001203200
543430110000134
62403310100000
7264504560163
oct53407014340
916060517600
105840312544
112527782290
12116baaa600
13720c87651
143d5921ada
15242ae2e99
hex15c1c18e0

5840312544 has 144 divisors (see below), whose sum is σ = 18789563520. Its totient is φ = 1769765760.

The previous prime is 5840312539. The next prime is 5840312561. The reversal of 5840312544 is 4452130485.

It is a happy number.

5840312544 is a `hidden beast` number, since 5 + 84 + 0 + 31 + 2 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×58403125442 = 68218501223207503872, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5840312499 and 5840312508.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 51397 + ... + 119675.

It is an arithmetic number, because the mean of its divisors is an integer number (130483080).

Almost surely, 25840312544 is an apocalyptic number.

5840312544 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5840312544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9394781760).

5840312544 is an abundant number, since it is smaller than the sum of its proper divisors (12949250976).

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

5840312544 is a wasteful number, since it uses less digits than its factorization.

5840312544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68315 (or 68295 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 5840312544 is about 76421.9375833929. The cubic root of 5840312544 is about 1800.8547940064.

The spelling of 5840312544 in words is "five billion, eight hundred forty million, three hundred twelve thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 243 264 288 297 324 352 396 432 486 528 594 648 792 864 891 972 1056 1188 1296 1584 1782 1944 2376 2592 2673 3168 3564 3888 4752 5346 7128 7776 9504 10692 14256 21384 28512 42768 68279 85536 136558 204837 273116 409674 546232 614511 751069 819348 1092464 1229022 1502138 1638696 1843533 2184928 2253207 2458044 3004276 3277392 3687066 4506414 4916088 5530599 6008552 6554784 6759621 7374132 9012828 9832176 11061198 12017104 13519242 14748264 16591797 18025656 19664352 20278863 22122396 24034208 27038484 29496528 33183594 36051312 40557726 44244792 54076968 58993056 60836589 66367188 72102624 81115452 88489584 108153936 121673178 132734376 162230904 176979168 182509767 216307872 243346356 265468752 324461808 365019534 486692712 530937504 648923616 730039068 973385424 1460078136 1946770848 2920156272 5840312544