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8422254060544 = 21089210192
BaseRepresentation
bin111101010001111010101…
…1101100010010000000000
31002211011022100220011212201
41322203311131202100000
52100442234014414134
625525044034002544
71526326210212232
oct172436535422000
932734270804781
108422254060544
112757948938705
12b40357a16454
134912a48b915c
142118d4238252
15e9137424914
hex7a8f5762400

8422254060544 has 99 divisors (see below), whose sum is σ = 17044306997977. Its totient is φ = 4159724822528.

The previous prime is 8422254060541. The next prime is 8422254060617. The reversal of 8422254060544 is 4450604522248.

It is a happy number.

The square root of 8422254060544 is 2902112.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1617251410944 + 6805002649600 = 1271712^2 + 2608640^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8422254060494 and 8422254060503.

It is not an unprimeable number, because it can be changed into a prime (8422254060541) 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 8 ways as a sum of consecutive naturals, for example, 8265214467 + ... + 8265215485.

Almost surely, 28422254060544 is an apocalyptic number.

8422254060544 is the 2902112-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8422254060544

8422254060544 is an abundant number, since it is smaller than the sum of its proper divisors (8622052937433).

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

8422254060544 is an frugal number, since it uses more digits than its factorization.

8422254060544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2236 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 46.

The spelling of 8422254060544 in words is "eight trillion, four hundred twenty-two billion, two hundred fifty-four million, sixty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 712 1019 1024 1424 2038 2848 4076 5696 7921 8152 11392 15842 16304 22784 31684 32608 45568 63368 65216 90691 91136 126736 130432 181382 253472 260864 362764 506944 521728 725528 1013888 1038361 1043456 1451056 2027776 2076722 2902112 4055552 4153444 5804224 8071499 8111104 8306888 11608448 16142998 16613776 23216896 32285996 33227552 46433792 64571992 66455104 92414129 92867584 129143984 132910208 184828258 258287968 265820416 369656516 516575936 531640832 739313032 1033151872 1063281664 1478626064 2066303744 2957252128 4132607488 5914504256 8224857481 8265214976 11829008512 16449714962 23658017024 32899429924 47316034048 65798859848 94632068096 131597719696 263195439392 526390878784 1052781757568 2105563515136 4211127030272 8422254060544