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67012607440 = 24541137197757
BaseRepresentation
bin111110011010010000…
…110011110111010000
320101222020001011200201
4332122100303313100
52044220211414230
650441332424544
74561430523232
oct763220636720
9211866034621
1067012607440
11264689628a9
1210ba2478154
13641c55874c
143359d72252
151b2320c5ca
hexf9a433dd0

67012607440 has 160 divisors (see below), whose sum is σ = 161798956704. Its totient is φ = 25794478080.

The previous prime is 67012607437. The next prime is 67012607471. The reversal of 67012607440 is 4470621076.

It can be written as a sum of positive squares in 16 ways, for example, as 6667702336 + 60344905104 = 81656^2 + 245652^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 67012607440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88523542 + ... + 88524298.

Almost surely, 267012607440 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 67012607440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80899478352).

67012607440 is an abundant number, since it is smaller than the sum of its proper divisors (94786349264).

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

67012607440 is a wasteful number, since it uses less digits than its factorization.

67012607440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 67012607440 in words is "sixty-seven billion, twelve million, six hundred seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 137 164 197 205 274 328 394 410 548 656 685 757 788 820 985 1096 1370 1514 1576 1640 1970 2192 2740 3028 3152 3280 3785 3940 5480 5617 6056 7570 7880 8077 10960 11234 12112 15140 15760 16154 22468 26989 28085 30280 31037 32308 40385 44936 53978 56170 60560 62074 64616 80770 89872 103709 107956 112340 124148 129232 134945 149129 155185 161540 207418 215912 224680 248296 269890 298258 310370 323080 414836 431824 449360 496592 518545 539780 596516 620740 646160 745645 829672 1037090 1079560 1106549 1193032 1241480 1491290 1659344 2074180 2159120 2213098 2386064 2482960 2982580 4148360 4252069 4426196 5532745 5965160 6114289 8296720 8504138 8852392 11065490 11930320 12228578 17008276 17704784 20430673 21260345 22130980 24457156 30571445 34016552 40861346 42520690 44261960 48914312 61142890 68033104 81722692 85041380 88523920 97828624 102153365 122285780 163445384 170082760 204306730 244571560 326890768 340165520 408613460 489143120 817226920 837657593 1634453840 1675315186 3350630372 4188287965 6701260744 8376575930 13402521488 16753151860 33506303720 67012607440