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66635144384 = 264126396557
BaseRepresentation
bin111110000011110000…
…111001110011000000
320100222220210001201112
4332003300321303000
52042432044110014
650340050222452
74546165244654
oct760360716300
9210886701645
1066635144384
1126294890266
1210ab7b84a28
13638c2a8223
143321b96a64
151aeeeeb73e
hexf83c39cc0

66635144384 has 56 divisors (see below), whose sum is σ = 135970658208. Its totient is φ = 32381020160.

The previous prime is 66635144383. The next prime is 66635144399. The reversal of 66635144384 is 48344153666.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (66635144383) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 641834 + ... + 738390.

It is an arithmetic number, because the mean of its divisors is an integer number (2428047468).

Almost surely, 266635144384 is an apocalyptic number.

66635144384 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 66635144384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67985329104).

66635144384 is an abundant number, since it is smaller than the sum of its proper divisors (69335513824).

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

66635144384 is a wasteful number, since it uses less digits than its factorization.

66635144384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96873 (or 96863 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 50.

The spelling of 66635144384 in words is "sixty-six billion, six hundred thirty-five million, one hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 32 41 64 82 164 263 328 526 656 1052 1312 2104 2624 4208 8416 10783 16832 21566 43132 86264 96557 172528 193114 345056 386228 690112 772456 1544912 3089824 3958837 6179648 7917674 15835348 25394491 31670696 50788982 63341392 101577964 126682784 203155928 253365568 406311856 812623712 1041174131 1625247424 2082348262 4164696524 8329393048 16658786096 33317572192 66635144384