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55241216816 = 24193121731093
BaseRepresentation
bin110011011100101000…
…100001001100110000
312021120212002120110012
4303130220201030300
51401113222414231
641213310554052
73663633411152
oct633450411460
9167525076405
1055241216816
11214782548a5
12a858208928
135294887256
142960862ad2
151684a97e2b
hexcdca21330

55241216816 has 120 divisors (see below), whose sum is σ = 117194574960. Its totient is φ = 25153390080.

The previous prime is 55241216801. The next prime is 55241216827. The reversal of 55241216816 is 61861214255.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50540366 + ... + 50541458.

It is an arithmetic number, because the mean of its divisors is an integer number (976621458).

Almost surely, 255241216816 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 55241216816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58597287480).

55241216816 is an abundant number, since it is smaller than the sum of its proper divisors (61953358144).

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

55241216816 is a wasteful number, since it uses less digits than its factorization.

55241216816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1318 counting only the distinct ones).

The product of its digits is 115200, while the sum is 41.

The spelling of 55241216816 in words is "fifty-five billion, two hundred forty-one million, two hundred sixteen thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 19 31 38 62 76 124 152 173 248 304 346 496 589 692 961 1093 1178 1384 1922 2186 2356 2768 3287 3844 4372 4712 5363 6574 7688 8744 9424 10726 13148 15376 17488 18259 20767 21452 26296 33883 36518 41534 42904 52592 67766 73036 83068 85808 101897 135532 146072 166136 166253 189089 203794 271064 292144 332272 332506 378178 407588 542128 643777 665012 756356 815176 1050373 1287554 1330024 1512712 1630352 2100746 2575108 2660048 3025424 3158807 3592691 4201492 5150216 5861759 6317614 7185382 8402984 10300432 11723518 12635228 14370764 16805968 19957087 23447036 25270456 28741528 39914174 46894072 50540912 57483056 79828348 93788144 111373421 159656696 181714529 222746842 319313392 363429058 445493684 726858116 890987368 1453716232 1781974736 2907432464 3452576051 6905152102 13810304204 27620608408 55241216816