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66131081576 = 23731103336877
BaseRepresentation
bin111101100101101110…
…000011100101101000
320022200210022000112122
4331211232003211220
52040414024102301
650214042330412
74530534630050
oct754556034550
9208623260478
1066131081576
11260562a942a
12109971b9a08
13630ba2cb01
1432b4c64560
151ac0b2e81b
hexf65b83968

66131081576 has 64 divisors (see below), whose sum is σ = 146426311680. Its totient is φ = 27400343040.

The previous prime is 66131081531. The next prime is 66131081593. The reversal of 66131081576 is 67518013166.

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, 1774850 + ... + 1811726.

It is an arithmetic number, because the mean of its divisors is an integer number (2287911120).

Almost surely, 266131081576 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66131081576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73213155840).

66131081576 is an abundant number, since it is smaller than the sum of its proper divisors (80295230104).

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

66131081576 is a wasteful number, since it uses less digits than its factorization.

66131081576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37954 (or 37950 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 44.

The spelling of 66131081576 in words is "sixty-six billion, one hundred thirty-one million, eighty-one thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 217 248 434 868 1033 1736 2066 4132 7231 8264 14462 28924 32023 36877 57848 64046 73754 128092 147508 224161 256184 258139 295016 448322 516278 896644 1032556 1143187 1793288 2065112 2286374 4572748 8002309 9145496 16004618 32009236 38093941 64018472 76187882 152375764 266657587 304751528 533315174 1066630348 1180912171 2133260696 2361824342 4723648684 8266385197 9447297368 16532770394 33065540788 66131081576