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55540551132 = 223211439293511
BaseRepresentation
bin110011101110011110…
…011000110111011100
312022100201100022221100
4303232132120313130
51402221340114012
641303122433100
74004226616023
oct635636306734
9168321308840
1055540551132
1121611214130
12a920502790
1353118b1051
14298c5018ba
1516a0ec48dc
hexcee798ddc

55540551132 has 144 divisors (see below), whose sum is σ = 156932455680. Its totient is φ = 16416691200.

The previous prime is 55540551103. The next prime is 55540551139. The reversal of 55540551132 is 23115504555.

55540551132 is a `hidden beast` number, since 5 + 55 + 40 + 551 + 13 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55540551139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15817257 + ... + 15820767.

It is an arithmetic number, because the mean of its divisors is an integer number (1089808720).

Almost surely, 255540551132 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 55540551132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78466227840).

55540551132 is an abundant number, since it is smaller than the sum of its proper divisors (101391904548).

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

55540551132 is a wasteful number, since it uses less digits than its factorization.

55540551132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4504 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 36.

The spelling of 55540551132 in words is "fifty-five billion, five hundred forty million, five hundred fifty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 929 946 1419 1548 1858 1892 2787 2838 3511 3716 4257 5574 5676 7022 8361 8514 10219 10533 11148 14044 16722 17028 20438 21066 30657 31599 33444 38621 39947 40876 42132 61314 63198 77242 79894 91971 115863 119841 122628 126396 150973 154484 159788 183942 231726 239682 301946 347589 359523 367884 439417 452919 463452 479364 603892 695178 719046 878834 905838 1318251 1358757 1390356 1438092 1660703 1757668 1811676 2636502 2717514 3261719 3321406 3954753 4982109 5273004 5435028 6523438 6642812 7909506 9785157 9964218 13046876 14946327 15819012 19570314 19928436 29355471 29892654 35878909 39140628 58710942 59785308 71757818 107636727 117421884 140253917 143515636 215273454 280507834 322910181 420761751 430546908 561015668 645820362 841523502 1262285253 1291640724 1542793087 1683047004 2524570506 3085586174 4628379261 5049141012 6171172348 9256758522 13885137783 18513517044 27770275566 55540551132