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66436424462364 = 2231110192953167261
BaseRepresentation
bin11110001101100011011110…
…11110101111000000011100
322201020021000122112211210220
433012301233132233000130
532201443244130243424
6353144245544201340
716664605350242505
oct1706615736570034
9281207018484726
1066436424462364
111a194590684610
12754b9a8169250
132b0bc0a905318
14125977c073bac
157a326d08c579
hex3c6c6f7af01c

66436424462364 has 96 divisors (see below), whose sum is σ = 169335192418560. Its totient is φ = 20105561894400.

The previous prime is 66436424462347. The next prime is 66436424462381. The reversal of 66436424462364 is 46326442463466.

It is an interprime number because it is at equal distance from previous prime (66436424462347) and next prime (66436424462381).

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66436424462298 and 66436424462307.

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, 397118494 + ... + 397285754.

It is an arithmetic number, because the mean of its divisors is an integer number (1763908254360).

Almost surely, 266436424462364 is an apocalyptic number.

It is an amenable number.

66436424462364 is an abundant number, since it is smaller than the sum of its proper divisors (102898767956196).

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

66436424462364 is a wasteful number, since it uses less digits than its factorization.

66436424462364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171251 (or 171249 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 60.

The spelling of 66436424462364 in words is "sixty-six trillion, four hundred thirty-six billion, four hundred twenty-four million, four hundred sixty-two thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1019 2038 2953 3057 4076 5906 6114 8859 11209 11812 12228 17718 22418 32483 33627 35436 44836 64966 67254 97449 129932 134508 167261 194898 334522 389796 501783 669044 1003566 1839871 2007132 3009107 3679742 5519613 6018214 7359484 9027321 11039226 12036428 18054642 22078452 33100177 36109284 66200354 99300531 132400708 170438959 198601062 340877918 397202124 493921733 511316877 681755836 987843466 1022633754 1481765199 1874828549 1975686932 2045267508 2963530398 3749657098 5433139063 5624485647 5927060796 7499314196 10866278126 11248971294 16299417189 21732556252 22497942588 32598834378 65197668756 503306245927 1006612491854 1509918737781 2013224983708 3019837475562 5536368705197 6039674951124 11072737410394 16609106115591 22145474820788 33218212231182 66436424462364