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66437046312 = 233721319331691
BaseRepresentation
bin111101110111111101…
…001110000000101000
320100111010000122020220
4331313331032000220
52042030340440222
650304252250040
74541241401400
oct756775160050
9210433018226
1066437046312
11261a2a8724a
1210a61770920
13635a238830
14330374b800
151adc91ab5c
hexf77f4e028

66437046312 has 384 divisors, whose sum is σ = 220002854400. Its totient is φ = 16525555200.

The previous prime is 66437046287. The next prime is 66437046353. The reversal of 66437046312 is 21364073466.

It is a super-2 number, since 2×664370463122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 96145887 + ... + 96146577.

It is an arithmetic number, because the mean of its divisors is an integer number (572924100).

Almost surely, 266437046312 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 66437046312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110001427200).

66437046312 is an abundant number, since it is smaller than the sum of its proper divisors (153565808088).

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

66437046312 is a wasteful number, since it uses less digits than its factorization.

66437046312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1066 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 66437046312 in words is "sixty-six billion, four hundred thirty-seven million, forty-six thousand, three hundred twelve".