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67545857344 = 2673137131449
BaseRepresentation
bin111110111010000010…
…111111110101000000
320110100101110002001011
4332322002333311000
52101313214413334
651010302050304
74610564212540
oct767202776500
9213311402034
1067545857344
112671196a3a9
1211110b79994
1364a5b82b34
1433aab01320
151b54e42564
hexfba0bfd40

67545857344 has 112 divisors (see below), whose sum is σ = 162400691200. Its totient is φ = 27257057280.

The previous prime is 67545857317. The next prime is 67545857429. The reversal of 67545857344 is 44375854576.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 448132 + ... + 579580.

Almost surely, 267545857344 is an apocalyptic number.

67545857344 is a gapful number since it is divisible by the number (64) 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 67545857344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81200345600).

67545857344 is an abundant number, since it is smaller than the sum of its proper divisors (94854833856).

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

67545857344 is a wasteful number, since it uses less digits than its factorization.

67545857344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131536 (or 131526 counting only the distinct ones).

The product of its digits is 56448000, while the sum is 58.

The spelling of 67545857344 in words is "sixty-seven billion, five hundred forty-five million, eight hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 37 56 62 64 74 112 124 148 217 224 248 259 296 434 448 496 518 592 868 992 1036 1147 1184 1736 1984 2072 2294 2368 3472 4144 4588 6944 8029 8288 9176 13888 16058 16576 18352 32116 36704 64232 73408 128464 131449 256928 262898 513856 525796 920143 1051592 1840286 2103184 3680572 4074919 4206368 4863613 7361144 8149838 8412736 9727226 14722288 16299676 19454452 28524433 29444576 32599352 34045291 38908904 57048866 58889152 65198704 68090582 77817808 114097732 130397408 136181164 150772003 155635616 228195464 260794816 272362328 301544006 311271232 456390928 544724656 603088012 912781856 1055404021 1089449312 1206176024 1825563712 2110808042 2178898624 2412352048 4221616084 4824704096 8443232168 9649408192 16886464336 33772928672 67545857344