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66147144640 = 2652294092207
BaseRepresentation
bin111101100110101011…
…010101001111000000
320022201220112002220221
4331212223111033000
52040432132112030
650215414512424
74531121311123
oct754653251700
9208656462827
1066147144640
112606437a895
12109a0665714
136312165295
1432b70463ba
151ac2253e7a
hexf66ad53c0

66147144640 has 112 divisors (see below), whose sum is σ = 158659372800. Its totient is φ = 26267000832.

The previous prime is 66147144611. The next prime is 66147144671. The reversal of 66147144640 is 4644174166.

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 15 ways as a sum of consecutive naturals, for example, 29970417 + ... + 29972623.

Almost surely, 266147144640 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 66147144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79329686400).

66147144640 is an abundant number, since it is smaller than the sum of its proper divisors (92512228160).

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

66147144640 is a wasteful number, since it uses less digits than its factorization.

66147144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862 (or 2852 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The spelling of 66147144640 in words is "sixty-six billion, one hundred forty-seven million, one hundred forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 229 320 409 458 818 916 1145 1636 1832 2045 2207 2290 3272 3664 4090 4414 4580 6544 7328 8180 8828 9160 11035 13088 14656 16360 17656 18320 22070 26176 32720 35312 36640 44140 65440 70624 73280 88280 93661 130880 141248 176560 187322 353120 374644 468305 505403 706240 749288 902663 936610 1010806 1498576 1805326 1873220 2021612 2527015 2997152 3610652 3746440 4043224 4513315 5054030 5994304 7221304 7492880 8086448 9026630 10108060 14442608 14985760 16172896 18053260 20216120 28885216 29971520 32345792 36106520 40432240 57770432 72213040 80864480 144426080 161728960 206709827 288852160 413419654 826839308 1033549135 1653678616 2067098270 3307357232 4134196540 6614714464 8268393080 13229428928 16536786160 33073572320 66147144640