Search a number
-
+
66081495424 = 2772919313177
BaseRepresentation
bin111101100010110000…
…111001100110000000
320022120022222210010111
4331202300321212000
52040313330323144
650205111441104
74526363305030
oct754260714600
9208508883114
1066081495424
112603031063a
1210982686194
13630168aba9
1432ac4378c0
151abb5d7534
hexf62c39980

66081495424 has 128 divisors (see below), whose sum is σ = 156459758400. Its totient is φ = 27200323584.

The previous prime is 66081495421. The next prime is 66081495427. The reversal of 66081495424 is 42459418066.

It is an interprime number because it is at equal distance from previous prime (66081495421) and next prime (66081495427).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66081495421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5008324 + ... + 5021500.

Almost surely, 266081495424 is an apocalyptic number.

66081495424 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 66081495424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78229879200).

66081495424 is an abundant number, since it is smaller than the sum of its proper divisors (90378262976).

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

66081495424 is a wasteful number, since it uses less digits than its factorization.

66081495424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13420 (or 13408 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 66081495424 in words is "sixty-six billion, eighty-one million, four hundred ninety-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 193 203 224 232 386 406 448 464 772 812 896 928 1351 1544 1624 1856 2702 3088 3248 3712 5404 5597 6176 6496 10808 11194 12352 12992 13177 21616 22388 24704 25984 26354 39179 43232 44776 52708 78358 86464 89552 92239 105416 156716 172928 179104 184478 210832 313432 358208 368956 382133 421664 626864 716416 737912 764266 843328 1253728 1475824 1528532 1686656 2507456 2543161 2674931 2951648 3057064 5014912 5086322 5349862 5903296 6114128 10172644 10699724 11806592 12228256 17802127 20345288 21399448 24456512 35604254 40690576 42798896 48913024 71208508 73751669 81381152 85597792 142417016 147503338 162762304 171195584 284834032 295006676 325524608 342391168 516261683 569668064 590013352 1032523366 1139336128 1180026704 2065046732 2278672256 2360053408 4130093464 4720106816 8260186928 9440213632 16520373856 33040747712 66081495424