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55088525052 = 2232111311815867
BaseRepresentation
bin110011010011100010…
…000010111011111100
312021012012210000201200
4303103202002323330
51400310130300202
641150214135500
73660100510521
oct632342027374
9167165700650
1055088525052
11213aa044260
12a815051590
13526c0550b2
142948477148
151676485e1c
hexcd3882efc

55088525052 has 144 divisors (see below), whose sum is σ = 153942332544. Its totient is φ = 16471728000.

The previous prime is 55088525033. The next prime is 55088525069. The reversal of 55088525052 is 25052588055.

It is a junction number, because it is equal to n+sod(n) for n = 55088524989 and 55088525007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9386623 + ... + 9392489.

It is an arithmetic number, because the mean of its divisors is an integer number (1069043976).

Almost surely, 255088525052 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 55088525052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76971166272).

55088525052 is an abundant number, since it is smaller than the sum of its proper divisors (98853807492).

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

55088525052 is a wasteful number, since it uses less digits than its factorization.

55088525052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6200 (or 6195 counting only the distinct ones).

The product of its (nonzero) digits is 800000, while the sum is 45.

The spelling of 55088525052 in words is "fifty-five billion, eighty-eight million, five hundred twenty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 131 132 181 198 262 362 393 396 524 543 724 786 1086 1179 1441 1572 1629 1991 2172 2358 2882 3258 3982 4323 4716 5764 5867 5973 6516 7964 8646 11734 11946 12969 17292 17601 17919 23468 23711 23892 25938 35202 35838 47422 51876 52803 64537 70404 71133 71676 94844 105606 129074 142266 193611 211212 213399 258148 260821 284532 387222 426798 521642 580833 768577 774444 782463 853596 1043284 1061927 1161666 1537154 1564926 2123854 2305731 2323332 2347389 3074308 3129852 3185781 4247708 4611462 4694778 6371562 6917193 8454347 9222924 9389556 9557343 11681197 12743124 13834386 16908694 19114686 23362394 25363041 27668772 33817388 35043591 38229372 46724788 50726082 70087182 76089123 101452164 105130773 139112437 140174364 152178246 210261546 278224874 304356492 417337311 420523092 556449748 834674622 1252011933 1530236807 1669349244 2504023866 3060473614 4590710421 5008047732 6120947228 9181420842 13772131263 18362841684 27544262526 55088525052