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738428560340 = 2252331423112239
BaseRepresentation
bin10101011111011011100…
…01011010001111010100
32121121000100121112021112
422233231301122033110
544044300202412330
61323121314434152
7104230643125412
oct12575561321724
92547010545245
10738428560340
11265190742879
12bb142292958
1354830aa6343
1427a50cd42b2
151431cb32795
hexabedc5a3d4

738428560340 has 96 divisors (see below), whose sum is σ = 1670850478080. Its totient is φ = 273328387200.

The previous prime is 738428560339. The next prime is 738428560361. The reversal of 738428560340 is 43065824837.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60327941 + ... + 60340179.

It is an arithmetic number, because the mean of its divisors is an integer number (17404692480).

Almost surely, 2738428560340 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 738428560340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835425239040).

738428560340 is an abundant number, since it is smaller than the sum of its proper divisors (932421917740).

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

738428560340 is a wasteful number, since it uses less digits than its factorization.

738428560340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16533 (or 16531 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 50.

The spelling of 738428560340 in words is "seven hundred thirty-eight billion, four hundred twenty-eight million, five hundred sixty thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 310 460 620 713 1426 2852 3565 4231 7130 8462 12239 14260 16924 21155 24478 42310 48956 61195 84620 97313 122390 131161 194626 244780 262322 281497 379409 389252 486565 524644 562994 655805 758818 973130 1125988 1311610 1407485 1517636 1897045 1946260 2623220 2814970 3016703 3794090 5629940 6033406 7588180 8726407 12066812 15083515 17452814 30167030 34905628 43632035 51783209 60334060 87264070 103566418 174528140 207132836 258916045 517832090 1035664180 1191013807 1605279479 2382027614 3210558958 4764055228 5955069035 6421117916 8026397395 11910138070 16052794790 23820276140 32105589580 36921428017 73842856034 147685712068 184607140085 369214280170 738428560340