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1156165706106 = 2331713775112241
BaseRepresentation
bin10000110100110000110…
…110001010000101111010
311002112021011202021002000
4100310300312022011322
5122420311410043411
62243045111321430
7146346602231565
oct20646066120572
94075234667060
101156165706106
11406366444324
121680a5680276
13850450517b8
143dd5ca1d4dc
152011b7b1956
hex10d30d8a17a

1156165706106 has 128 divisors (see below), whose sum is σ = 2744119710720. Its totient is φ = 359562240000.

The previous prime is 1156165706099. The next prime is 1156165706131. The reversal of 1156165706106 is 6016075616511.

1156165706106 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 16 + 570 + 61 + 0 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 94444146 + ... + 94456386.

It is an arithmetic number, because the mean of its divisors is an integer number (21438435240).

Almost surely, 21156165706106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1156165706106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372059855360).

1156165706106 is an abundant number, since it is smaller than the sum of its proper divisors (1587954004614).

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

1156165706106 is a wasteful number, since it uses less digits than its factorization.

1156165706106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13157 (or 13151 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 1156165706106 in words is "one trillion, one hundred fifty-six billion, one hundred sixty-five million, seven hundred six thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 137 153 274 306 411 459 751 822 918 1233 1502 2253 2329 2466 3699 4506 4658 6759 6987 7398 12241 12767 13518 13974 20277 20961 24482 25534 36723 38301 40554 41922 62883 73446 76602 102887 110169 114903 125766 205774 208097 220338 229806 308661 330507 344709 416194 617322 624291 661014 689418 925983 1248582 1677017 1749079 1851966 1872873 2777949 3354034 3498158 3745746 5031051 5247237 5555898 5618619 9192991 10062102 10494474 11237238 15093153 15741711 18385982 27578973 28509289 30186306 31483422 45279459 47225133 55157946 57018578 82736919 85527867 90558918 94450266 156280847 165473838 171055734 248210757 256583601 312561694 468842541 496421514 513167202 769750803 937685082 1259439767 1406527623 1539501606 2518879534 2813055246 3778319301 4219582869 7556638602 8439165738 11334957903 21410476039 22669915806 34004873709 42820952078 64231428117 68009747418 128462856234 192694284351 385388568702 578082853053 1156165706106