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1156536466056 = 233459234712889
BaseRepresentation
bin10000110101000110111…
…100011111101010001000
311002120020000101211010000
4100311012330133222020
5122422041313403211
62243145554123000
7146362023521436
oct20650674375210
94076200354100
101156536466056
11406536758804
12168189880460
13850a3ac5c9a
143dd95d71d56
152013e0eb656
hex10d46f1fa88

1156536466056 has 160 divisors (see below), whose sum is σ = 3295936908000. Its totient is φ = 378787186944.

The previous prime is 1156536466027. The next prime is 1156536466073. The reversal of 1156536466056 is 6506646356511.

1156536466056 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 536 + 46 + 60 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1156536465993 and 1156536466011.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 89724060 + ... + 89736948.

It is an arithmetic number, because the mean of its divisors is an integer number (20599605675).

Almost surely, 21156536466056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1156536466056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647968454000).

1156536466056 is an abundant number, since it is smaller than the sum of its proper divisors (2139400441944).

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

1156536466056 is a wasteful number, since it uses less digits than its factorization.

1156536466056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15313 (or 15300 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 1156536466056 in words is "one trillion, one hundred fifty-six billion, five hundred thirty-six million, four hundred sixty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 81 108 118 162 177 216 236 324 354 472 531 648 708 1062 1416 1593 2124 2347 3186 4248 4694 4779 6372 7041 9388 9558 12744 12889 14082 18776 19116 21123 25778 28164 38232 38667 42246 51556 56328 63369 77334 84492 103112 116001 126738 138473 154668 168984 190107 232002 253476 276946 309336 348003 380214 415419 464004 506952 553892 696006 760428 760451 830838 928008 1044009 1107784 1246257 1392012 1520856 1520902 1661676 2088018 2281353 2492514 2784024 3041804 3323352 3738771 4176036 4562706 4985028 6083608 6844059 7477542 8352072 9125412 9970056 11216313 13688118 14955084 18250824 20532177 22432626 27376236 29910168 30250483 41064354 44865252 54752472 60500966 61596531 82128708 89730504 90751449 121001932 123193062 164257416 181502898 242003864 246386124 272254347 363005796 492772248 544508694 726011592 816763041 1089017388 1633526082 1784778497 2178034776 2450289123 3267052164 3569556994 4900578246 5354335491 6534104328 7139113988 9801156492 10708670982 14278227976 16063006473 19602312984 21417341964 32126012946 42834683928 48189019419 64252025892 96378038838 128504051784 144567058257 192756077676 289134116514 385512155352 578268233028 1156536466056