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65241806080 = 285112421241
BaseRepresentation
bin111100110000101101…
…101111010100000000
320020101210222010220011
4330300231233110000
52032103400243310
645545514154304
74466516126113
oct746055572400
9206353863804
1065241806080
112573a331600
1210789422994
1361c971c9a9
14322cada57a
151a6ca2078a
hexf30b6f500

65241806080 has 108 divisors (see below), whose sum is σ = 171773220276. Its totient is φ = 23724236800.

The previous prime is 65241806053. The next prime is 65241806081. The reversal of 65241806080 is 8060814256.

It can be written as a sum of positive squares in 2 ways, for example, as 37344789504 + 27897016576 = 193248^2 + 167024^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65241806081) 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 11 ways as a sum of consecutive naturals, for example, 55741 + ... + 365500.

Almost surely, 265241806080 is an apocalyptic number.

It is an amenable number.

65241806080 is an abundant number, since it is smaller than the sum of its proper divisors (106531414196).

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

65241806080 is a wasteful number, since it uses less digits than its factorization.

65241806080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421284 (or 421259 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 65241806080 in words is "sixty-five billion, two hundred forty-one million, eight hundred six thousand, eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 605 640 704 880 968 1210 1280 1408 1760 1936 2420 2816 3520 3872 4840 7040 7744 9680 14080 15488 19360 30976 38720 77440 154880 421241 842482 1684964 2106205 3369928 4212410 4633651 6739856 8424820 9267302 13479712 16849640 18534604 23168255 26959424 33699280 37069208 46336510 50970161 53918848 67398560 74138416 92673020 101940322 107837696 134797120 148276832 185346040 203880644 254850805 269594240 296553664 370692080 407761288 509701610 539188480 593107328 741384160 815522576 1019403220 1186214656 1482768320 1631045152 2038806440 2965536640 3262090304 4077612880 5931073280 6524180608 8155225760 13048361216 16310451520 32620903040 65241806080