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66383436816 = 2433179793187
BaseRepresentation
bin111101110100110000…
…101101110000010000
320100100101010222212000
4331310300231300100
52041423124434231
650255055234000
74540020621444
oct756460556020
9210311128760
1066383436816
11261757a0684
1210a47818900
13634c0b8538
1432da594824
151ad7d7b6e6
hexf74c2dc10

66383436816 has 160 divisors (see below), whose sum is σ = 203835703680. Its totient is φ = 20611252224.

The previous prime is 66383436773. The next prime is 66383436871. The reversal of 66383436816 is 61863438366.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 665775 + ... + 758961.

It is an arithmetic number, because the mean of its divisors is an integer number (1273973148).

Almost surely, 266383436816 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 66383436816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101917851840).

66383436816 is an abundant number, since it is smaller than the sum of its proper divisors (137452266864).

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

66383436816 is a wasteful number, since it uses less digits than its factorization.

66383436816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93318 (or 93306 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 66383436816 in words is "sixty-six billion, three hundred eighty-three million, four hundred thirty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 97 102 108 136 144 153 194 204 216 272 291 306 388 408 432 459 582 612 776 816 873 918 1164 1224 1552 1649 1746 1836 2328 2448 2619 3298 3492 3672 4656 4947 5238 6596 6984 7344 9894 10476 13192 13968 14841 19788 20952 26384 29682 39576 41904 44523 59364 79152 89046 93187 118728 178092 186374 237456 279561 356184 372748 559122 712368 745496 838683 1118244 1490992 1584179 1677366 2236488 2516049 3168358 3354732 4472976 4752537 5032098 6336716 6709464 9039139 9505074 10064196 12673432 13418928 14257611 18078278 19010148 20128392 25346864 27117417 28515222 36156556 38020296 40256784 42772833 54234834 57030444 72313112 76040592 81352251 85545666 108469668 114060888 144626224 153665363 162704502 171091332 216939336 228121776 244056753 307330726 325409004 342182664 433878672 460996089 488113506 614661452 650818008 684365328 921992178 976227012 1229322904 1301636016 1382988267 1843984356 1952454024 2458645808 2765976534 3687968712 3904908048 4148964801 5531953068 7375937424 8297929602 11063906136 16595859204 22127812272 33191718408 66383436816