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65216992900 = 22521753723829
BaseRepresentation
bin111100101111001111…
…000101011010000100
320020100002021111121111
4330233033011122010
52032031022233100
645543230254404
74466065202353
oct745717053204
9206302244544
1065216992900
1125727324044
1210781057404
1361c4542837
1432296bb99a
151a6a76d6ba
hexf2f3c5684

65216992900 has 72 divisors (see below), whose sum is σ = 152673118920. Its totient is φ = 24088995840.

The previous prime is 65216992843. The next prime is 65216992903. The reversal of 65216992900 is 929961256.

It can be written as a sum of positive squares in 12 ways, for example, as 3502509124 + 61714483776 = 59182^2 + 248424^2 .

It is not an unprimeable number, because it can be changed into a prime (65216992903) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 271815 + ... + 452014.

It is an arithmetic number, because the mean of its divisors is an integer number (2120459985).

Almost surely, 265216992900 is an apocalyptic number.

It is an amenable number.

65216992900 is an abundant number, since it is smaller than the sum of its proper divisors (87456126020).

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

65216992900 is a wasteful number, since it uses less digits than its factorization.

65216992900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723913 (or 723906 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 49.

The spelling of 65216992900 in words is "sixty-five billion, two hundred sixteen million, nine hundred ninety-two thousand, nine hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 53 68 85 100 106 170 212 265 340 425 530 850 901 1060 1325 1700 1802 2650 3604 4505 5300 9010 18020 22525 45050 90100 723829 1447658 2895316 3619145 7238290 12305093 14476580 18095725 24610186 36191450 38362937 49220372 61525465 72382900 76725874 123050930 153451748 191814685 246101860 307627325 383629370 615254650 652169929 767258740 959073425 1230509300 1304339858 1918146850 2608679716 3260849645 3836293700 6521699290 13043398580 16304248225 32608496450 65216992900