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66080971584 = 263445727893
BaseRepresentation
bin111101100010101110…
…111001101101000000
320022120022000011120000
4331202232321231000
52040313212042314
650205052320000
74526355663555
oct754256715500
9208508004500
1066080971584
112602aa93011
1210982473000
136301536624
1432ac33ca2c
151abb532209
hexf62bb9b40

66080971584 has 140 divisors (see below), whose sum is σ = 196320370884. Its totient is φ = 21978003456.

The previous prime is 66080971559. The next prime is 66080971613. The reversal of 66080971584 is 48517908066.

It can be written as a sum of positive squares in 2 ways, for example, as 63467717184 + 2613254400 = 251928^2 + 51120^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 66080971584.

It is a congruent 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 19 ways as a sum of consecutive naturals, for example, 2355142 + ... + 2383034.

Almost surely, 266080971584 is an apocalyptic number.

66080971584 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 66080971584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98160185442).

66080971584 is an abundant number, since it is smaller than the sum of its proper divisors (130239399300).

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

66080971584 is a wasteful number, since it uses less digits than its factorization.

66080971584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28374 (or 28355 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 66080971584 in words is "sixty-six billion, eighty million, nine hundred seventy-one thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 457 576 648 864 914 1296 1371 1728 1828 2592 2742 3656 4113 5184 5484 7312 8226 10968 12339 14624 16452 21936 24678 27893 29248 32904 37017 43872 49356 55786 65808 74034 83679 87744 98712 111572 131616 148068 167358 197424 223144 251037 263232 296136 334716 394848 446288 502074 592272 669432 753111 789696 892576 1004148 1184544 1338864 1506222 1785152 2008296 2259333 2369088 2677728 3012444 4016592 4518666 5355456 6024888 8033184 9037332 12049776 12747101 16066368 18074664 24099552 25494202 36149328 38241303 48199104 50988404 72298656 76482606 101976808 114723909 144597312 152965212 203953616 229447818 305930424 344171727 407907232 458895636 611860848 688343454 815814464 917791272 1032515181 1223721696 1376686908 1835582544 2065030362 2447443392 2753373816 3671165088 4130060724 5506747632 7342330176 8260121448 11013495264 16520242896 22026990528 33040485792 66080971584