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66855235248 = 24331934723473
BaseRepresentation
bin111110010000111000…
…011110111010110000
320101120020220211122000
4332100320132322300
52043404420011443
650413551414000
74554510060204
oct762070367260
9211506824560
1066855235248
112639804583a
1210b59824300
1363c5a780c9
1433430c8b04
151b144c38d3
hexf90e1eeb0

66855235248 has 160 divisors (see below), whose sum is σ = 202590009600. Its totient is φ = 21050440704.

The previous prime is 66855235247. The next prime is 66855235273. The reversal of 66855235248 is 84253255866.

66855235248 is a `hidden beast` number, since 6 + 68 + 5 + 52 + 3 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 66855235194 and 66855235203.

It is not an unprimeable number, because it can be changed into a prime (66855235247) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2836440 + ... + 2859912.

It is an arithmetic number, because the mean of its divisors is an integer number (1266187560).

Almost surely, 266855235248 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 66855235248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101295004800).

66855235248 is an abundant number, since it is smaller than the sum of its proper divisors (135734774352).

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

66855235248 is a wasteful number, since it uses less digits than its factorization.

66855235248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23856 (or 23844 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 66855235248 in words is "sixty-six billion, eight hundred fifty-five million, two hundred thirty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 347 432 456 513 684 694 912 1026 1041 1368 1388 2052 2082 2736 2776 3123 4104 4164 5552 6246 6593 8208 8328 9369 12492 13186 16656 18738 19779 23473 24984 26372 37476 39558 46946 49968 52744 59337 70419 74952 79116 93892 105488 118674 140838 149904 158232 178011 187784 211257 237348 281676 316464 356022 375568 422514 445987 474696 563352 633771 712044 845028 891974 949392 1126704 1267542 1337961 1424088 1690056 1783948 2535084 2675922 2848176 3380112 3567896 4013883 5070168 5351844 7135792 8027766 8145131 10140336 10703688 12041649 16055532 16290262 21407376 24083298 24435393 32111064 32580524 48166596 48870786 64222128 65161048 73306179 96333192 97741572 130322096 146612358 154757489 192666384 195483144 219918537 293224716 309514978 390966288 439837074 464272467 586449432 619029956 879674148 928544934 1172898864 1238059912 1392817401 1759348296 1857089868 2476119824 2785634802 3518696592 3714179736 4178452203 5571269604 7428359472 8356904406 11142539208 16713808812 22285078416 33427617624 66855235248