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66126120372 = 223213843116759
BaseRepresentation
bin111101100101011011…
…001000010110110100
320022200102221222001100
4331211123020112310
52040411241322442
650213344130100
74530444514644
oct754533102664
9208612858040
1066126120372
112605351aa64
1210995606930
13630a9b38a0
1432b4332524
151ac049e84c
hexf656c85b4

66126120372 has 72 divisors (see below), whose sum is σ = 180042087680. Its totient is φ = 20342871360.

The previous prime is 66126120371. The next prime is 66126120419. The reversal of 66126120372 is 27302162166.

66126120372 is a `hidden beast` number, since 6 + 6 + 1 + 2 + 612 + 0 + 37 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66126120371) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 3937329 + ... + 3954087.

Almost surely, 266126120372 is an apocalyptic number.

It is an amenable number.

66126120372 is an abundant number, since it is smaller than the sum of its proper divisors (113915967308).

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

66126120372 is a wasteful number, since it uses less digits than its factorization.

66126120372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25213 (or 25208 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 66126120372 in words is "sixty-six billion, one hundred twenty-six million, one hundred twenty thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 8431 16759 16862 25293 33518 33724 50277 50586 67036 75879 100554 101172 109603 150831 151758 201108 217867 219206 301662 303516 328809 435734 438412 603324 653601 657618 871468 986427 1307202 1315236 1960803 1972854 2614404 3921606 3945708 7843212 141295129 282590258 423885387 565180516 847770774 1271656161 1695541548 1836836677 2543312322 3673673354 5086624644 5510510031 7347346708 11021020062 16531530093 22042040124 33063060186 66126120372