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734137642496 = 2953209912889
BaseRepresentation
bin10101010111011100000…
…00110110111000000000
32121011221022111022120102
422223232000312320000
544012003214024441
61321131433301532
7104016421000016
oct12535600667000
92534838438512
10734137642496
11263389618785
12ba3452648a8
13542c8b169bb
14277650928b6
151416b09469b
hexaaee036e00

734137642496 has 80 divisors (see below), whose sum is σ = 1495345698000. Its totient is φ = 359943487488.

The previous prime is 734137642487. The next prime is 734137642499. The reversal of 734137642496 is 694246731437.

It is a super-2 number, since 2×7341376424962 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (734137642499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56952020 + ... + 56964908.

It is an arithmetic number, because the mean of its divisors is an integer number (18691821225).

Almost surely, 2734137642496 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 734137642496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747672849000).

734137642496 is an abundant number, since it is smaller than the sum of its proper divisors (761208055504).

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

734137642496 is a wasteful number, since it uses less digits than its factorization.

734137642496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15059 (or 15043 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 56.

The spelling of 734137642496 in words is "seven hundred thirty-four billion, one hundred thirty-seven million, six hundred forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1696 2099 3392 4198 6784 8396 12889 13568 16792 25778 27136 33584 51556 67168 103112 111247 134336 206224 222494 268672 412448 444988 537344 683117 824896 889976 1074688 1366234 1649792 1779952 2732468 3299584 3559904 5464936 6599168 7119808 10929872 14239616 21859744 27054011 28479232 43719488 54108022 56958464 87438976 108216044 174877952 216432088 349755904 432864176 865728352 1433862583 1731456704 2867725166 3462913408 5735450332 6925826816 11470900664 13851653632 22941801328 45883602656 91767205312 183534410624 367068821248 734137642496