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42221632464 = 24321131859841
BaseRepresentation
bin100111010100100110…
…101111101111010000
311000222111110011022100
4213110212233233100
51142432214214324
631221340040400
73023201645244
oct472446575720
9130874404270
1042221632464
11169a7013430
128223b33100
133c9b41939b
14208767a424
151171a784c9
hex9d49afbd0

42221632464 has 120 divisors (see below), whose sum is σ = 133062269184. Its totient is φ = 12381696000.

The previous prime is 42221632423. The next prime is 42221632483. The reversal of 42221632464 is 46423612224.

It is a super-2 number, since 2×422216324642 (a number of 22 digits) contains 22 as substring.

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

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380817 + ... + 479024.

Almost surely, 242221632464 is an apocalyptic number.

42221632464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42221632464 is an abundant number, since it is smaller than the sum of its proper divisors (90840636720).

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

42221632464 is a wasteful number, since it uses less digits than its factorization.

42221632464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859897 (or 859888 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The spelling of 42221632464 in words is "forty-two billion, two hundred twenty-one million, six hundred thirty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 3069 4092 4464 5456 6138 8184 12276 16368 24552 49104 859841 1719682 2579523 3439364 5159046 6878728 7738569 9458251 10318092 13757456 15477138 18916502 20636184 26655071 28374753 30954276 37833004 41272368 53310142 56749506 61908552 75666008 79965213 85124259 106620284 113499012 123817104 151332016 159930426 170248518 213240568 226998024 239895639 293205781 319860852 340497036 426481136 453996048 479791278 586411562 639721704 680994072 879617343 959582556 1172823124 1279443408 1361988144 1759234686 1919165112 2345646248 2638852029 3518469372 3838330224 4691292496 5277704058 7036938744 10555408116 14073877488 21110816232 42221632464