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55611311311656 = 23331776071990889
BaseRepresentation
bin11001010010100000001000…
…11101001100101100101000
321021220101111220100121121000
430221100010131030230220
524242113431143433111
6314135252252515000
714466533064535302
oct1451200435145450
9237811456317530
1055611311311656
11167a06964a6aa1
1262a1a1777ba60
13250517c9ca759
14da385d5c0972
156668a0283c56
hex32940474cb28

55611311311656 has 128 divisors (see below), whose sum is σ = 163584264096000. Its totient is φ = 17444383635456.

The previous prime is 55611311311651. The next prime is 55611311311669. The reversal of 55611311311656 is 65611311311655.

55611311311656 is a `hidden beast` number, since 5 + 5 + 6 + 11 + 311 + 311 + 6 + 5 + 6 = 666.

It is a super-2 number, since 2×556113113116562 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55611311311651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26937460 + ... + 28928348.

It is an arithmetic number, because the mean of its divisors is an integer number (1278002063250).

Almost surely, 255611311311656 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 55611311311656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81792132048000).

55611311311656 is an abundant number, since it is smaller than the sum of its proper divisors (107972952784344).

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

55611311311656 is a wasteful number, since it uses less digits than its factorization.

55611311311656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998528 (or 1998518 counting only the distinct ones).

The product of its digits is 243000, while the sum is 45.

Subtracting 55611311311656 from its reverse (65611311311655), we obtain a palindrome (9999999999999).

The spelling of 55611311311656 in words is "fifty-five trillion, six hundred eleven billion, three hundred eleven million, three hundred eleven thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 7607 15214 22821 30428 45642 60856 68463 91284 129319 136926 182568 205389 258638 273852 387957 410778 517276 547704 775914 821556 1034552 1163871 1551828 1643112 1990889 2327742 3103656 3491613 3981778 4655484 5972667 6983226 7963556 9310968 11945334 13966452 15927112 17918001 23890668 27932904 33845113 35836002 47781336 53754003 67690226 71672004 101535339 107508006 135380452 143344008 203070678 215016012 270760904 304606017 406141356 430032024 609212034 812282712 913818051 1218424068 1827636102 2436848136 3655272204 7310544408 15144692623 30289385246 45434077869 60578770492 90868155738 121157540984 136302233607 181736311476 257459774591 272604467214 363472622952 408906700821 514919549182 545208934428 772379323773 817813401642 1029839098364 1090417868856 1544758647546 1635626803284 2059678196728 2317137971319 3089517295092 3271253606568 4634275942638 6179034590184 6951413913957 9268551885276 13902827827914 18537103770552 27805655655828 55611311311656