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66483600672 = 25310128324229
BaseRepresentation
bin111101111010101110…
…110011110100100000
320100121100121211211110
4331322232303310200
52042124300210142
650313034143320
74542345165366
oct757256636440
9210540554743
1066483600672
1126217294225
1210a75281b40
136366a887a8
1433099c9636
151ae1a6499c
hexf7abb3d20

66483600672 has 96 divisors (see below), whose sum is σ = 176877449280. Its totient is φ = 21863347200.

The previous prime is 66483600647. The next prime is 66483600721. The reversal of 66483600672 is 27600638466.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2731854 + ... + 2756082.

It is an arithmetic number, because the mean of its divisors is an integer number (1842473430).

Almost surely, 266483600672 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 66483600672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88438724640).

66483600672 is an abundant number, since it is smaller than the sum of its proper divisors (110393848608).

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

66483600672 is a wasteful number, since it uses less digits than its factorization.

66483600672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24626 (or 24618 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 66483600672 in words is "sixty-six billion, four hundred eighty-three million, six hundred thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 101 202 283 303 404 566 606 808 849 1132 1212 1616 1698 2264 2424 3232 3396 4528 4848 6792 9056 9696 13584 24229 27168 28583 48458 57166 72687 85749 96916 114332 145374 171498 193832 228664 290748 342996 387664 457328 581496 685992 775328 914656 1162992 1371984 2325984 2447129 2743968 4894258 6856807 7341387 9788516 13713614 14682774 19577032 20570421 27427228 29365548 39154064 41140842 54854456 58731096 78308128 82281684 109708912 117462192 164563368 219417824 234924384 329126736 658253472 692537507 1385075014 2077612521 2770150028 4155225042 5540300056 8310450084 11080600112 16620900168 22161200224 33241800336 66483600672