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66700110384 = 24323115719511
BaseRepresentation
bin111110000111101000…
…101110101000110000
320101011110000200022200
4332013220232220300
52043100212013014
650350330503200
74550614404135
oct760750565060
9211143020280
1066700110384
1126318523176
1210b15894b00
13639c8a364b
14332a66858c
151b05a80a09
hexf87a2ea30

66700110384 has 120 divisors (see below), whose sum is σ = 192832134144. Its totient is φ = 21500208000.

The previous prime is 66700110371. The next prime is 66700110391. The reversal of 66700110384 is 48301100766.

66700110384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7008189 + ... + 7017699.

Almost surely, 266700110384 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 66700110384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96416067072).

66700110384 is an abundant number, since it is smaller than the sum of its proper divisors (126132023760).

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

66700110384 is a wasteful number, since it uses less digits than its factorization.

66700110384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11127 (or 11118 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 66700110384 in words is "sixty-six billion, seven hundred million, one hundred ten thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 1571 2232 3142 4464 4713 6284 9426 9511 12568 14139 18852 19022 25136 28278 28533 37704 38044 48701 56556 57066 75408 76088 85599 97402 113112 114132 146103 152176 171198 194804 226224 228264 292206 294841 342396 389608 438309 456528 584412 589682 684792 779216 876618 884523 1168824 1179364 1369584 1753236 1769046 2337648 2358728 2653569 3506472 3538092 4717456 5307138 7012944 7076184 10614276 14152368 14941781 21228552 29883562 42457104 44825343 59767124 89650686 119534248 134476029 179301372 239068496 268952058 358602744 463195211 537904116 717205488 926390422 1075808232 1389585633 1852780844 2151616464 2779171266 3705561688 4168756899 5558342532 7411123376 8337513798 11116685064 16675027596 22233370128 33350055192 66700110384