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66628624356 = 22337243292801
BaseRepresentation
bin111110000011011000…
…000001111111100100
320100222110111210221000
4332003120001333210
52042423411434411
650335254353300
74546055651100
oct760330017744
9210873453830
1066628624356
1126291137708
1210ab595b830
13638ab34618
143320d7a900
151aee65e956
hexf83601fe4

66628624356 has 144 divisors (see below), whose sum is σ = 205617276480. Its totient is φ = 18593971200.

The previous prime is 66628624339. The next prime is 66628624367. The reversal of 66628624356 is 65342682666.

It is a happy number.

66628624356 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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, 81156 + ... + 373956.

Almost surely, 266628624356 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 66628624356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102808638240).

66628624356 is an abundant number, since it is smaller than the sum of its proper divisors (138988652124).

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

66628624356 is a wasteful number, since it uses less digits than its factorization.

66628624356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292871 (or 292856 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 66628624356 in words is "sixty-six billion, six hundred twenty-eight million, six hundred twenty-four thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 43 49 54 63 84 86 98 108 126 129 147 172 189 196 252 258 294 301 378 387 441 516 588 602 756 774 882 903 1161 1204 1323 1548 1764 1806 2107 2322 2646 2709 3612 4214 4644 5292 5418 6321 8127 8428 10836 12642 16254 18963 25284 32508 37926 56889 75852 113778 227556 292801 585602 878403 1171204 1756806 2049607 2635209 3513612 4099214 5270418 6148821 7905627 8198428 10540836 12297642 12590443 14347249 15811254 18446463 24595284 25180886 28694498 31622508 36892926 37771329 43041747 50361772 55339389 57388996 73785852 75542658 86083494 88133101 110678778 113313987 129125241 151085316 172166988 176266202 221357556 226627974 258250482 264399303 339941961 352532404 387375723 453255948 516500964 528798606 616931707 679883922 774751446 793197909 1057597212 1233863414 1359767844 1549502892 1586395818 1850795121 2379593727 2467726828 3172791636 3701590242 4759187454 5552385363 7403180484 9518374908 11104770726 16657156089 22209541452 33314312178 66628624356