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107509435348 = 227231376411901
BaseRepresentation
bin110010000100000001…
…1111100101111010100
3101021111111222011221211
41210020003330233110
53230134403412343
6121220020151204
710524120060010
oct1441003745724
9337444864854
10107509435348
114165a301017
1218a04838504
13a1a4522303
1452bc50b540
152be363279d
hex19080fcbd4

107509435348 has 96 divisors (see below), whose sum is σ = 226476891648. Its totient is φ = 43659264000.

The previous prime is 107509435301. The next prime is 107509435357. The reversal of 107509435348 is 843534905701.

It is a super-2 number, since 2×1075094353482 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 56553198 + ... + 56555098.

It is an arithmetic number, because the mean of its divisors is an integer number (2359134288).

Almost surely, 2107509435348 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 107509435348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113238445824).

107509435348 is an abundant number, since it is smaller than the sum of its proper divisors (118967456300).

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

107509435348 is a wasteful number, since it uses less digits than its factorization.

107509435348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713 (or 2711 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

The spelling of 107509435348 in words is "one hundred seven billion, five hundred nine million, four hundred thirty-five thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 23 28 46 92 137 161 274 322 548 641 644 959 1282 1901 1918 2564 3151 3802 3836 4487 6302 7604 8974 12604 13307 14743 17948 22057 26614 29486 43723 44114 53228 58972 87446 87817 88228 103201 174892 175634 206402 260437 306061 351268 412804 520874 612122 614719 1041748 1218541 1224244 1229438 1823059 2019791 2437082 2458876 3646118 4039582 4874164 5990051 7292236 8079164 8529787 11980102 14138537 17059574 23960204 28026443 28277074 34119148 41930357 56052886 56554148 83860714 112105772 166940117 167721428 196185101 333880234 392370202 667760468 784740404 1168580819 2337161638 3839622691 4674323276 7679245382 15358490764 26877358837 53754717674 107509435348