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66428016516 = 22334917331709
BaseRepresentation
bin111101110111011010…
…110001011110000100
320100110111000212201000
4331313122301132010
52042021033012031
650303330533300
74541101552431
oct756732613604
9210414025630
1066428016516
112619897a004
1210a5a737230
1363583c6764
14330247ab88
151adbc353e6
hexf776b1784

66428016516 has 96 divisors (see below), whose sum is σ = 172908086400. Its totient is φ = 22054515840.

The previous prime is 66428016503. The next prime is 66428016547. The reversal of 66428016516 is 61561082466.

66428016516 is a `hidden beast` number, since 6 + 6 + 42 + 80 + 16 + 516 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38868670 + ... + 38870378.

It is an arithmetic number, because the mean of its divisors is an integer number (1801125900).

Almost surely, 266428016516 is an apocalyptic number.

It is an amenable number.

66428016516 is an abundant number, since it is smaller than the sum of its proper divisors (106480069884).

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

66428016516 is a wasteful number, since it uses less digits than its factorization.

66428016516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2938 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 66428016516 in words is "sixty-six billion, four hundred twenty-eight million, sixteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 491 733 982 1466 1473 1709 1964 2199 2932 2946 3418 4398 4419 5127 5892 6597 6836 8796 8838 10254 13194 13257 15381 17676 19791 20508 26388 26514 30762 39582 46143 53028 61524 79164 92286 184572 359903 719806 839119 1079709 1252697 1439612 1678238 2159418 2505394 2517357 3239127 3356476 3758091 4318836 5010788 5034714 6478254 7516182 7552071 9717381 10069428 11274273 12956508 15032364 15104142 19434762 22548546 22656213 30208284 33822819 38869524 45097092 45312426 67645638 90624852 135291276 615074227 1230148454 1845222681 2460296908 3690445362 5535668043 7380890724 11071336086 16607004129 22142672172 33214008258 66428016516