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66642363888 = 24343253112757
BaseRepresentation
bin111110000100001100…
…011100010111110000
320101000102100212000120
4332010030130113300
52042440421121023
650340505050240
74546313514042
oct760414342760
9211012325016
1066642363888
11262989713a1
1210aba486980
136390935319
143322b15a92
151b009758e3
hexf8431c5f0

66642363888 has 80 divisors (see below), whose sum is σ = 176246564736. Its totient is φ = 21687240960.

The previous prime is 66642363841. The next prime is 66642363899. The reversal of 66642363888 is 88836324666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5217606 + ... + 5230362.

Almost surely, 266642363888 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 66642363888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88123282368).

66642363888 is an abundant number, since it is smaller than the sum of its proper divisors (109604200848).

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

66642363888 is a wasteful number, since it uses less digits than its factorization.

66642363888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15342 (or 15336 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 60.

The spelling of 66642363888 in words is "sixty-six billion, six hundred forty-two million, three hundred sixty-three thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 43 48 86 129 172 258 344 516 688 1032 2064 2531 5062 7593 10124 12757 15186 20248 25514 30372 38271 40496 51028 60744 76542 102056 108833 121488 153084 204112 217666 306168 326499 435332 548551 612336 652998 870664 1097102 1305996 1645653 1741328 2194204 2611992 3291306 4388408 5223984 6582612 8776816 13165224 26330448 32287967 64575934 96863901 129151868 193727802 258303736 387455604 516607472 774911208 1388382581 1549822416 2776765162 4165147743 5553530324 8330295486 11107060648 16660590972 22214121296 33321181944 66642363888