Search a number
-
+
67406804080 = 24571161317851
BaseRepresentation
bin111110110001110000…
…100011010001110000
320102222200210102211021
4332301300203101300
52101022120212310
650544413425224
74604255244460
oct766160432160
9212880712737
1067406804080
1126650424650
121109249b214
1364831176b5
143396465ba0
151b47b265da
hexfb1c23470

67406804080 has 160 divisors (see below), whose sum is σ = 195721901568. Its totient is φ = 20974464000.

The previous prime is 67406804077. The next prime is 67406804083. The reversal of 67406804080 is 8040860476.

It is an interprime number because it is at equal distance from previous prime (67406804077) and next prime (67406804083).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67406804083) 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 31 ways as a sum of consecutive naturals, for example, 3767155 + ... + 3785005.

Almost surely, 267406804080 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 67406804080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97860950784).

67406804080 is an abundant number, since it is smaller than the sum of its proper divisors (128315097488).

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

67406804080 is a wasteful number, since it uses less digits than its factorization.

67406804080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18495 (or 18489 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 43.

The spelling of 67406804080 in words is "sixty-seven billion, four hundred six million, eight hundred four thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 613 616 770 880 1226 1232 1540 2452 3065 3080 4291 4904 6130 6160 6743 8582 9808 12260 13486 17164 17851 21455 24520 26972 33715 34328 35702 42910 47201 49040 53944 67430 68656 71404 85820 89255 94402 107888 124957 134860 142808 171640 178510 188804 196361 236005 249914 269720 285616 343280 357020 377608 392722 472010 499828 539440 624785 714040 755216 785444 944020 981805 999656 1249570 1374527 1428080 1570888 1888040 1963610 1999312 2499140 2749054 3141776 3776080 3927220 4998280 5498108 6872635 7854440 9996560 10942663 10996216 13745270 15708880 21885326 21992432 27490540 43770652 54713315 54981080 76598641 87541304 109426630 109962160 120369293 153197282 175082608 218853260 240738586 306394564 382993205 437706520 481477172 601846465 612789128 765986410 842585051 875413040 962954344 1203692930 1225578256 1531972820 1685170102 1925908688 2407385860 3063945640 3370340204 4212925255 4814771720 6127891280 6740680408 8425850510 9629543440 13481360816 16851701020 33703402040 67406804080