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128105590294848 = 2633167321240547
BaseRepresentation
bin11101001000001011101000…
…001101000000100101000000
3121210120202220211221011220210
4131020023220031000211000
5113242340222103413343
61132242521251234120
735661215643664545
oct3510135015004500
9553522824834823
10128105590294848
1137900304019831
121244b87aba8940
1356633c7a6a42a
14238c4b4dacbcc
15ec24c14ae333
hex7482e8340940

128105590294848 has 112 divisors (see below), whose sum is σ = 355101871683584. Its totient is φ = 40707601989120.

The previous prime is 128105590294841. The next prime is 128105590294859. The reversal of 128105590294848 is 848492095501821.

It is a happy number.

It is a super-2 number, since 2×1281055902948482 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128105590294841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160221490 + ... + 161019057.

Almost surely, 2128105590294848 is an apocalyptic number.

It is an amenable number.

128105590294848 is an abundant number, since it is smaller than the sum of its proper divisors (226996281388736).

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

128105590294848 is a wasteful number, since it uses less digits than its factorization.

128105590294848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321240660 (or 321240650 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 66.

The spelling of 128105590294848 in words is "one hundred twenty-eight trillion, one hundred five billion, five hundred ninety million, two hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 67 93 96 124 134 186 192 201 248 268 372 402 496 536 744 804 992 1072 1488 1608 1984 2077 2144 2976 3216 4154 4288 5952 6231 6432 8308 12462 12864 16616 24924 33232 49848 66464 99696 132928 199392 398784 321240547 642481094 963721641 1284962188 1927443282 2569924376 3854886564 5139848752 7709773128 9958456957 10279697504 15419546256 19916913914 20559395008 21523116649 29875370871 30839092512 39833827828 43046233298 59750741742 61678185024 64569349947 79667655656 86092466596 119501483484 129138699894 159335311312 172184933192 239002966968 258277399788 318670622624 344369866384 478005933936 516554799576 637341245248 667216616119 688739732768 956011867872 1033109599152 1334433232238 1377479465536 1912023735744 2001649848357 2066219198304 2668866464476 4003299696714 4132438396608 5337732928952 8006599393428 10675465857904 16013198786856 21350931715808 32026397573712 42701863431616 64052795147424 128105590294848