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55504252632 = 23337891514651
BaseRepresentation
bin110011101100010011…
…111010111011011000
312022021012001011202110
4303230103322323120
51402133042041012
641255344432320
74003306235343
oct635423727330
9168235034673
1055504252632
11215a2781574
12a9103186a0
13530721224a
14298777345a
15169cc0473c
hexcec4faed8

55504252632 has 128 divisors (see below), whose sum is σ = 145097740800. Its totient is φ = 17677440000.

The previous prime is 55504252523. The next prime is 55504252633. The reversal of 55504252632 is 23625240555.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55504252633) 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, 11931507 + ... + 11936157.

It is an arithmetic number, because the mean of its divisors is an integer number (1133576100).

Almost surely, 255504252632 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 55504252632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72548870400).

55504252632 is an abundant number, since it is smaller than the sum of its proper divisors (89593488168).

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

55504252632 is a wasteful number, since it uses less digits than its factorization.

55504252632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4937 (or 4933 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 39.

The spelling of 55504252632 in words is "fifty-five billion, five hundred four million, two hundred fifty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 37 74 89 111 148 151 178 222 267 296 302 356 444 453 534 604 712 888 906 1068 1208 1812 2136 3293 3624 4651 5587 6586 9302 9879 11174 13172 13439 13953 16761 18604 19758 22348 26344 26878 27906 33522 37208 39516 40317 44696 53756 55812 67044 79032 80634 107512 111624 134088 161268 172087 322536 344174 413939 497243 516261 688348 702301 827878 994486 1032522 1241817 1376696 1404602 1491729 1655756 1988972 2065044 2106903 2483634 2809204 2983458 3311512 3977944 4130088 4213806 4967268 5618408 5966916 8427612 9934536 11933832 15315743 16855224 25985137 30631486 45947229 51970274 61262972 62504789 77955411 91894458 103940548 122525944 125009578 155910822 183788916 187514367 207881096 250019156 311821644 367577832 375028734 500038312 623643288 750057468 1500114936 2312677193 4625354386 6938031579 9250708772 13876063158 18501417544 27752126316 55504252632