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638421541152 = 25319991136683
BaseRepresentation
bin10010100101001001110…
…00111010000100100000
32021000212200202120111220
421102210320322010200
540424441403304102
61205141541135040
764060452363663
oct11224470720440
92230780676456
10638421541152
1122683135309a
12a38920ba480
13482839a9a45
1422c84d676da
1511917ead1bc
hex94a4e3a120

638421541152 has 96 divisors (see below), whose sum is σ = 1686172723200. Its totient is φ = 211499608320.

The previous prime is 638421541123. The next prime is 638421541159. The reversal of 638421541152 is 251145124836.

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

It is not an unprimeable number, because it can be changed into a prime (638421541159) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17385403 + ... + 17422085.

It is an arithmetic number, because the mean of its divisors is an integer number (17564299200).

Almost surely, 2638421541152 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 638421541152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843086361600).

638421541152 is an abundant number, since it is smaller than the sum of its proper divisors (1047751182048).

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

638421541152 is a wasteful number, since it uses less digits than its factorization.

638421541152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37806 (or 37798 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

Adding to 638421541152 its reverse (251145124836), we get a palindrome (889566665988).

The spelling of 638421541152 in words is "six hundred thirty-eight billion, four hundred twenty-one million, five hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 398 597 796 911 1194 1592 1822 2388 2733 3184 3644 4776 5466 6368 7288 9552 10932 14576 19104 21864 29152 36683 43728 73366 87456 110049 146732 181289 220098 293464 362578 440196 543867 586928 725156 880392 1087734 1173856 1450312 1760784 2175468 2900624 3521568 4350936 5801248 7299917 8701872 14599834 17403744 21899751 29199668 33418213 43799502 58399336 66836426 87599004 100254639 116798672 133672852 175198008 200509278 233597344 267345704 350396016 401018556 534691408 700792032 802037112 1069382816 1604074224 3208148448 6650224387 13300448774 19950673161 26600897548 39901346322 53201795096 79802692644 106403590192 159605385288 212807180384 319210770576 638421541152