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5920972344 = 233479713457
BaseRepresentation
bin1011000001110101…
…01101111000111000
3120021122100120010000
411200322231320320
544111232103334
62415310553000
7266504302020
oct54072557070
916248316100
105920972344
112569264181
121192b08760
137348b9141
1440251aa80
15249c27299
hex160eade38

5920972344 has 160 divisors (see below), whose sum is σ = 19150195680. Its totient is φ = 1674141696.

The previous prime is 5920972339. The next prime is 5920972349. The reversal of 5920972344 is 4432790295.

It is an interprime number because it is at equal distance from previous prime (5920972339) and next prime (5920972349).

It is a self number, because there is not a number n which added to its sum of digits gives 5920972344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5920972349) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 433264 + ... + 446720.

It is an arithmetic number, because the mean of its divisors is an integer number (119688723).

Almost surely, 25920972344 is an apocalyptic number.

5920972344 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 5920972344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9575097840).

5920972344 is an abundant number, since it is smaller than the sum of its proper divisors (13229223336).

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

5920972344 is a wasteful number, since it uses less digits than its factorization.

5920972344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13579 (or 13566 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 5920972344 is about 76947.8547069377. The cubic root of 5920972344 is about 1809.1073754570.

It can be divided in two parts, 592097 and 2344, that added together give a square (594441 = 7712).

The spelling of 5920972344 in words is "five billion, nine hundred twenty million, nine hundred seventy-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 97 108 126 162 168 189 194 216 252 291 324 378 388 504 567 582 648 679 756 776 873 1134 1164 1358 1512 1746 2037 2268 2328 2619 2716 3492 4074 4536 5238 5432 6111 6984 7857 8148 10476 12222 13457 15714 16296 18333 20952 24444 26914 31428 36666 40371 48888 53828 54999 62856 73332 80742 94199 107656 109998 121113 146664 161484 188398 219996 242226 282597 322968 363339 376796 439992 484452 565194 726678 753592 847791 968904 1090017 1130388 1305329 1453356 1695582 2180034 2260776 2543373 2610658 2906712 3391164 3915987 4360068 5086746 5221316 6782328 7630119 7831974 8720136 9137303 10173492 10442632 11747961 15260238 15663948 18274606 20346984 23495922 27411909 30520476 31327896 35243883 36549212 46991844 54823818 61040952 70487766 73098424 82235727 93983688 105731649 109647636 140975532 164471454 211463298 219295272 246707181 281951064 328942908 422926596 493414362 657885816 740121543 845853192 986828724 1480243086 1973657448 2960486172 5920972344