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55131332004 = 223275931111923
BaseRepresentation
bin110011010110000101…
…010101110110100100
312021022012022211211100
4303112011111312210
51400402110111004
641154343440100
73661130406240
oct632605256644
9167265284740
1055131332004
1121421221801
12a827456030
135277b92458
14295001b420
15167a0de739
hexcd6155da4

55131332004 has 144 divisors (see below), whose sum is σ = 162502179840. Its totient is φ = 15433744320.

The previous prime is 55131331973. The next prime is 55131332021. The reversal of 55131332004 is 40023313155.

55131332004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4617987 + ... + 4629909.

It is an arithmetic number, because the mean of its divisors is an integer number (1128487360).

Almost surely, 255131332004 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 55131332004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81251089920).

55131332004 is an abundant number, since it is smaller than the sum of its proper divisors (107370847836).

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

55131332004 is a wasteful number, since it uses less digits than its factorization.

55131332004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12310 (or 12305 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 55131332004 its reverse (40023313155), we get a palindrome (95154645159).

The spelling of 55131332004 in words is "fifty-five billion, one hundred thirty-one million, three hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 84 118 126 177 236 252 311 354 413 531 622 708 826 933 1062 1239 1244 1652 1866 2124 2177 2478 2799 3717 3732 4354 4956 5598 6531 7434 8708 11196 11923 13062 14868 18349 19593 23846 26124 35769 36698 39186 47692 55047 71538 73396 78372 83461 107307 110094 128443 143076 165141 166922 214614 220188 250383 256886 330282 333844 385329 429228 500766 513772 660564 703457 751149 770658 1001532 1155987 1406914 1502298 1541316 2110371 2311974 2813828 3004596 3708053 4220742 4623948 4924199 6331113 7416106 8441484 9848398 11124159 12662226 14772597 14832212 19696796 22248318 25324452 25956371 29545194 33372477 44317791 44496636 51912742 59090388 66744954 77869113 88635582 103825484 133489908 155738226 177271164 218775127 233607339 311476452 437550254 467214678 656325381 875100508 934429356 1312650762 1531425889 1968976143 2625301524 3062851778 3937952286 4594277667 6125703556 7875904572 9188555334 13782833001 18377110668 27565666002 55131332004