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66243535440 = 24353110698329
BaseRepresentation
bin111101101100011011…
…000010001001010000
320022222121220021020120
4331230123002021100
52041131321113230
650233140510240
74533401521635
oct755433021120
9208877807216
1066243535440
1126103826705
1210a089ab380
136329114064
1432c5b7818c
151aca944310
hexf6c6c2250

66243535440 has 160 divisors (see below), whose sum is σ = 212203084800. Its totient is φ = 17077063680.

The previous prime is 66243535387. The next prime is 66243535507. The reversal of 66243535440 is 4453534266.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 66243535392 and 66243535401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7949196 + ... + 7957524.

It is an arithmetic number, because the mean of its divisors is an integer number (1326269280).

Almost surely, 266243535440 is an apocalyptic number.

66243535440 is a gapful number since it is divisible by the number (60) 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 66243535440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106101542400).

66243535440 is an abundant number, since it is smaller than the sum of its proper divisors (145959549360).

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

66243535440 is a wasteful number, since it uses less digits than its factorization.

66243535440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9445 (or 9439 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 42.

The spelling of 66243535440 in words is "sixty-six billion, two hundred forty-three million, five hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1069 1240 1488 1860 2138 2480 3207 3720 4276 5345 6414 7440 8329 8552 10690 12828 16035 16658 17104 21380 24987 25656 32070 33139 33316 41645 42760 49974 51312 64140 66278 66632 83290 85520 99417 99948 124935 128280 132556 133264 165695 166580 198834 199896 249870 256560 258199 265112 331390 333160 397668 399792 497085 499740 516398 530224 662780 666320 774597 795336 994170 999480 1032796 1290995 1325560 1549194 1590672 1988340 1998960 2065592 2581990 2651120 3098388 3872985 3976680 4131184 5163980 6196776 7745970 7953360 8903701 10327960 12393552 15491940 17807402 20655920 26711103 30983880 35614804 44518505 53422206 61967760 71229608 89037010 106844412 133555515 142459216 178074020 213688824 267111030 276014731 356148040 427377648 534222060 552029462 712296080 828044193 1068444120 1104058924 1380073655 1656088386 2136888240 2208117848 2760147310 3312176772 4140220965 4416235696 5520294620 6624353544 8280441930 11040589240 13248707088 16560883860 22081178480 33121767720 66243535440