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57376067375 = 5311223271101
BaseRepresentation
bin110101011011111000…
…010100111100101111
312111002122012012212102
4311123320110330233
51420001233124000
642205212125315
74100555345234
oct653370247457
9174078165772
1057376067375
1122373326700
12b15316683b
135544c57b33
142ac41c178b
15175c1e63d5
hexd5be14f2f

57376067375 has 144 divisors (see below), whose sum is σ = 84262441536. Its totient is φ = 38962000000.

The previous prime is 57376067347. The next prime is 57376067387.

57376067375 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57376067375 - 210 = 57376066351 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57376067375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 568079825 + ... + 568079925.

It is an arithmetic number, because the mean of its divisors is an integer number (585155844).

Almost surely, 257376067375 is an apocalyptic number.

57376067375 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57376067375 is a deficient number, since it is larger than the sum of its proper divisors (26886374161).

57376067375 is a wasteful number, since it uses less digits than its factorization.

57376067375 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 19448100, while the sum is 56.

The spelling of 57376067375 in words is "fifty-seven billion, three hundred seventy-six million, sixty-seven thousand, three hundred seventy-five".

Divisors: 1 5 11 23 25 55 71 101 115 121 125 253 275 355 505 529 575 605 781 1111 1265 1375 1633 1775 2323 2525 2645 2783 2875 3025 3905 5555 5819 6325 7171 8165 8591 8875 11615 12221 12625 13225 13915 15125 17963 19525 25553 27775 29095 31625 35855 37559 40825 42955 53429 58075 61105 64009 66125 69575 78881 89815 97625 127765 138875 145475 164933 179275 187795 197593 204125 214775 267145 281083 290375 305525 320045 347875 394405 413149 449075 587719 638825 727375 824665 867691 896375 938975 987965 1073875 1335725 1405415 1527625 1600225 1814263 1972025 2065745 2245375 2938595 3194125 3793459 4123325 4338455 4544639 4694875 4939825 6464909 6678625 7027075 8001125 9071315 9860125 10328725 14692975 18967295 19956893 20616625 21692275 22723195 24699125 32324545 35135375 41728049 45356575 51643625 73464875 94836475 99784465 108461375 113615975 161622725 208640245 226782875 459008539 474182375 498922325 568079875 808113625 1043201225 2295042695 2494611625 5216006125 11475213475 57376067375