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66355056240 = 24351144356737
BaseRepresentation
bin111101110011000100…
…011100111001110000
320100021101202010000120
4331303010130321300
52041343343244430
650252203050240
74536224446314
oct756304347160
9210241663016
1066355056240
1126160776960
1210a3a210980
13634625c6b5
1432d68c7b44
151ad5622610
hexf7311ce70

66355056240 has 160 divisors (see below), whose sum is σ = 224911247616. Its totient is φ = 16049479680.

The previous prime is 66355056233. The next prime is 66355056311. The reversal of 66355056240 is 4265055366.

It is a super-2 number, since 2×663550562402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 66355056192 and 66355056201.

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, 1141152 + ... + 1197888.

Almost surely, 266355056240 is an apocalyptic number.

66355056240 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 66355056240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112455623808).

66355056240 is an abundant number, since it is smaller than the sum of its proper divisors (158556191376).

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

66355056240 is a wasteful number, since it uses less digits than its factorization.

66355056240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57207 (or 57201 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 66355056240 in words is "sixty-six billion, three hundred fifty-five million, fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 443 528 660 880 886 1320 1329 1772 2215 2640 2658 3544 4430 4873 5316 6645 7088 8860 9746 10632 13290 14619 17720 19492 21264 24365 26580 29238 35440 38984 48730 53160 56737 58476 73095 77968 97460 106320 113474 116952 146190 170211 194920 226948 233904 283685 292380 340422 389840 453896 567370 584760 624107 680844 851055 907792 1134740 1169520 1248214 1361688 1702110 1872321 2269480 2496428 2723376 3120535 3404220 3744642 4538960 4992856 6241070 6808440 7489284 9361605 9985712 12482140 13616880 14978568 18723210 24964280 25134491 29957136 37446420 49928560 50268982 74892840 75403473 100537964 125672455 149785680 150806946 201075928 251344910 276479401 301613892 377017365 402151856 502689820 552958802 603227784 754034730 829438203 1005379640 1105917604 1206455568 1382397005 1508069460 1658876406 2010759280 2211835208 2764794010 3016138920 3317752812 4147191015 4423670416 5529588020 6032277840 6635505624 8294382030 11059176040 13271011248 16588764060 22118352080 33177528120 66355056240