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55516155444 = 2232311373311097
BaseRepresentation
bin110011101101000001…
…010100111000110100
312022022000102220100100
4303231001110320310
51402144113433234
641300451514100
74003512351411
oct635501247064
9168260386310
1055516155444
11215a9471302
12a9142b8930
13530981bc29
142989191108
15169dca6399
hexced054e34

55516155444 has 144 divisors (see below), whose sum is σ = 146490978816. Its totient is φ = 17707852800.

The previous prime is 55516155437. The next prime is 55516155473. The reversal of 55516155444 is 44455161555.

55516155444 is a `hidden beast` number, since 5 + 5 + 51 + 6 + 1 + 554 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 55516155444.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 50606704 + ... + 50607800.

It is an arithmetic number, because the mean of its divisors is an integer number (1017298464).

Almost surely, 255516155444 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 55516155444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73245489408).

55516155444 is an abundant number, since it is smaller than the sum of its proper divisors (90974823372).

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

55516155444 is a wasteful number, since it uses less digits than its factorization.

55516155444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1601 counting only the distinct ones).

The product of its digits is 1200000, while the sum is 45.

The spelling of 55516155444 in words is "fifty-five billion, five hundred sixteen million, one hundred fifty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 137 186 274 279 331 372 411 548 558 662 822 993 1097 1116 1233 1324 1644 1986 2194 2466 2979 3291 3972 4247 4388 4932 5958 6582 8494 9873 10261 11916 12741 13164 16988 19746 20522 25482 30783 34007 38223 39492 41044 45347 50964 61566 68014 76446 90694 92349 102021 123132 136028 136041 150289 152892 181388 184698 204042 272082 300578 306063 363107 369396 408084 408123 450867 544164 601156 612126 726214 816246 901734 1089321 1224252 1352601 1405757 1452428 1632492 1803468 2178642 2705202 2811514 3267963 4217271 4357284 4658959 5410404 5623028 6535926 8434542 9317918 11256317 12651813 13071852 13976877 16869084 18635836 22512634 25303626 27953754 33768951 41930631 45025268 49745659 50607252 55907508 67537902 83861262 99491318 101306853 135075804 149236977 167722524 198982636 202613706 298473954 405227412 447710931 596947908 895421862 1542115429 1790843724 3084230858 4626346287 6168461716 9252692574 13879038861 18505385148 27758077722 55516155444