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10245431161504 = 2571127739149899
BaseRepresentation
bin1001010100010111001101…
…0010001111001010100000
31100021110020201021001210001
42111011303102033022200
52320330120334132004
633442404110345344
72105131222655230
oct225056322171240
940243221231701
1010245431161504
1132a007687a290
1211957721bb254
135941a87ba986
14275c4ac35cc0
1512b791ac21a4
hex9517348f2a0

10245431161504 has 96 divisors (see below), whose sum is σ = 25148950848000. Its totient is φ = 3991555895040.

The previous prime is 10245431161481. The next prime is 10245431161529. The reversal of 10245431161504 is 40516113454201.

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 15 ways as a sum of consecutive naturals, for example, 68273947 + ... + 68423845.

It is an arithmetic number, because the mean of its divisors is an integer number (261968238000).

Almost surely, 210245431161504 is an apocalyptic number.

10245431161504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10245431161504 is an abundant number, since it is smaller than the sum of its proper divisors (14903519686496).

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

10245431161504 is a wasteful number, since it uses less digits than its factorization.

10245431161504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177666 (or 177658 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 10245431161504 in words is "ten trillion, two hundred forty-five billion, four hundred thirty-one million, one hundred sixty-one thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 27739 55478 110956 149899 194173 221912 299798 305129 388346 443824 599596 610258 776692 887648 1049293 1199192 1220516 1553384 1648889 2098586 2135903 2398384 2441032 3106768 3297778 4197172 4271806 4796768 4882064 6213536 6595556 8394344 8543612 9764128 11542223 13191112 16788688 17087224 23084446 26382224 33577376 34174448 46168892 52764448 68348896 92337784 184675568 369351136 4158048361 8316096722 16632193444 29106338527 33264386888 45738531971 58212677054 66528773776 91477063942 116425354108 133057547552 182954127884 232850708216 320169723797 365908255768 465701416432 640339447594 731816511536 931402832864 1280678895188 1463633023072 2561357790376 5122715580752 10245431161504