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159406579257472 = 2711337329546701
BaseRepresentation
bin100100001111101010111100…
…100010000001000010000000
3202220102010020120212220022101
4210033222330202001002000
5131343204133242214342
61323010212131120144
745401513431166431
oct4417527442010200
9686363216786271
10159406579257472
1146878a502a7258
1215a66090a43054
136ac3c8c1481a1
142b51468dbb488
1513667e6e0e3b7
hex90fabc881080

159406579257472 has 64 divisors (see below), whose sum is σ = 321237062550360. Its totient is φ = 78786157363200.

The previous prime is 159406579257437. The next prime is 159406579257503. The reversal of 159406579257472 is 274752975604951.

It can be written as a sum of positive squares in 4 ways, for example, as 43542366584896 + 115864212672576 = 6598664^2 + 10764024^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 159406579257395 and 159406579257404.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 9378279 + ... + 20168422.

Almost surely, 2159406579257472 is an apocalyptic number.

It is an amenable number.

159406579257472 is an abundant number, since it is smaller than the sum of its proper divisors (161830483292888).

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

159406579257472 is a wasteful number, since it uses less digits than its factorization.

159406579257472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29547201 (or 29547189 counting only the distinct ones).

The product of its (nonzero) digits is 1333584000, while the sum is 73.

The spelling of 159406579257472 in words is "one hundred fifty-nine trillion, four hundred six billion, five hundred seventy-nine million, two hundred fifty-seven thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 113 128 226 373 452 746 904 1492 1808 2984 3616 5968 7232 11936 14464 23872 42149 47744 84298 168596 337192 674384 1348768 2697536 5395072 29546701 59093402 118186804 236373608 472747216 945494432 1890988864 3338777213 3781977728 6677554426 11020919473 13355108852 22041838946 26710217704 44083677892 53420435408 88167355784 106840870816 176334711568 213681741632 352669423136 427363483264 705338846272 1245363900449 1410677692544 2490727800898 4981455601796 9962911203592 19925822407184 39851644814368 79703289628736 159406579257472