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713840238100 = 2252112400714723
BaseRepresentation
bin10100110001101000011…
…00011001111000010100
32112020112202100100012001
422120310030121320110
543143421100104400
61303533401405044
7102400424623633
oct12306414317024
92466482310161
10713840238100
11255813228400
12b641b799784
135241293c842
142679b4b151a
151387e17da6a
hexa634319e14

713840238100 has 108 divisors (see below), whose sum is σ = 1703197050912. Its totient is φ = 259495860800.

The previous prime is 713840238077. The next prime is 713840238101. The reversal of 713840238100 is 1832048317.

It is a super-2 number, since 2×7138402381002 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 713840238100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (713840238101) 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 35 ways as a sum of consecutive naturals, for example, 48477339 + ... + 48492061.

It is an arithmetic number, because the mean of its divisors is an integer number (15770343064).

Almost surely, 2713840238100 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 713840238100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851598525456).

713840238100 is an abundant number, since it is smaller than the sum of its proper divisors (989356812812).

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

713840238100 is a wasteful number, since it uses less digits than its factorization.

713840238100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18766 (or 18748 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 713840238100 in words is "seven hundred thirteen billion, eight hundred forty million, two hundred thirty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 4007 6050 8014 12100 14723 16028 20035 29446 40070 44077 58892 73615 80140 88154 100175 147230 161953 176308 200350 220385 294460 323906 368075 400700 440770 484847 647812 736150 809765 881540 969694 1101925 1472300 1619530 1781483 1939388 2203850 2424235 3239060 3562966 4048825 4407700 4848470 7125932 8097650 8907415 9696940 12121175 16195300 17814830 24242350 35629660 44537075 48484700 58995061 89074150 117990122 178148300 235980244 294975305 589950610 648945671 1179901220 1297891342 1474876525 2595782684 2949753050 3244728355 5899506100 6489456710 7138402381 12978913420 14276804762 16223641775 28553609524 32447283550 35692011905 64894567100 71384023810 142768047620 178460059525 356920119050 713840238100