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66511006464 = 283787714107
BaseRepresentation
bin111101111100010111…
…010110101100000000
320100200021012012111210
4331330113112230000
52042203304201324
650315453410120
74543130140560
oct757427265400
9210607165453
1066511006464
1126230802641
1210a82499940
13636c662a36
14330d4c0da0
151ae4179d29
hexf7c5d6b00

66511006464 has 144 divisors (see below), whose sum is σ = 202549346048. Its totient is φ = 18980130816.

The previous prime is 66511006451. The next prime is 66511006519. The reversal of 66511006464 is 46460011566.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4707699 + ... + 4721805.

Almost surely, 266511006464 is an apocalyptic number.

66511006464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66511006464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101274673024).

66511006464 is an abundant number, since it is smaller than the sum of its proper divisors (136038339584).

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

66511006464 is a wasteful number, since it uses less digits than its factorization.

66511006464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15010 (or 14996 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 66511006464 in words is "sixty-six billion, five hundred eleven million, six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 877 896 1344 1754 1792 2631 2688 3508 5262 5376 6139 7016 10524 12278 14032 14107 18417 21048 24556 28064 28214 36834 42096 42321 49112 56128 56428 73668 84192 84642 98224 98749 112256 112856 147336 168384 169284 196448 197498 224512 225712 294672 296247 336768 338568 392896 394996 451424 589344 592494 673536 677136 785792 789992 902848 1178688 1184988 1354272 1571584 1579984 1805696 2357376 2369976 2708544 3159968 3611392 4714752 4739952 5417088 6319936 9479904 10834176 12371839 12639872 18959808 24743678 25279744 37115517 37919616 49487356 74231034 75839232 86602873 98974712 148462068 173205746 197949424 259808619 296924136 346411492 395898848 519617238 593848272 692822984 791797696 1039234476 1187696544 1385645968 1583595392 2078468952 2375393088 2771291936 3167190784 4156937904 4750786176 5542583872 8313875808 9501572352 11085167744 16627751616 22170335488 33255503232 66511006464