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66401042730 = 235111716017393
BaseRepresentation
bin111101110101110011…
…111000000100101010
320100101121021110121220
4331311303320010222
52041442131331410
650300524442510
74540323356601
oct756563700452
9210347243556
1066401042730
1126184726220
1210a516a9436
136352941039
1432dca58a38
151ad96a8070
hexf75cf812a

66401042730 has 128 divisors (see below), whose sum is σ = 184216363776. Its totient is φ = 15138816000.

The previous prime is 66401042723. The next prime is 66401042731. The reversal of 66401042730 is 3724010466.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 66401042691 and 66401042700.

It is not an unprimeable number, because it can be changed into a prime (66401042731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8977914 + ... + 8985306.

It is an arithmetic number, because the mean of its divisors is an integer number (1439190342).

Almost surely, 266401042730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66401042730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92108181888).

66401042730 is an abundant number, since it is smaller than the sum of its proper divisors (117815321046).

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

66401042730 is a wasteful number, since it uses less digits than its factorization.

66401042730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9032.

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 66401042730 in words is "sixty-six billion, four hundred one million, forty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 330 374 510 561 935 1122 1601 1870 2805 3202 4803 5610 7393 8005 9606 14786 16010 17611 22179 24015 27217 35222 36965 44358 48030 52833 54434 73930 81323 81651 88055 105666 110895 125681 136085 162646 163302 176110 221790 243969 251362 264165 272170 299387 377043 406615 408255 487938 528330 598774 628405 754086 813230 816510 898161 1219845 1256810 1382491 1496935 1796322 1885215 2439690 2764982 2993870 3770430 4147473 4490805 6912455 8294946 8981610 11836193 13824910 20737365 23672386 35508579 41474730 59180965 71017158 118361930 130198123 177542895 201215281 260396246 355085790 390594369 402430562 603645843 650990615 781188738 1006076405 1207291686 1301981230 1952971845 2012152810 2213368091 3018229215 3905943690 4426736182 6036458430 6640104273 11066840455 13280208546 22133680910 33200521365 66401042730