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1681848036 = 2234114491051
BaseRepresentation
bin110010000111110…
…1111011011100100
311100012200201210000
41210033233123210
511421023114121
6434515501300
756451321021
oct14417573344
94305621700
101681848036
117933a5360
123ab2b7830
1320a59236b
1411d51c548
159c9ba526
hex643ef6e4

1681848036 has 120 divisors (see below), whose sum is σ = 4811637600. Its totient is φ = 508032000.

The previous prime is 1681848013. The next prime is 1681848059. The reversal of 1681848036 is 6308481861.

It is a happy number.

1681848036 is a `hidden beast` number, since 168 + 1 + 8 + 480 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1681848013) and next prime (1681848059).

It is a super-2 number, since 2×16818480362 = 5657225632394114592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1681847982 and 1681848000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1599711 + ... + 1600761.

It is an arithmetic number, because the mean of its divisors is an integer number (40096980).

Almost surely, 21681848036 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 1681848036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2405818800).

1681848036 is an abundant number, since it is smaller than the sum of its proper divisors (3129789564).

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

1681848036 is a wasteful number, since it uses less digits than its factorization.

1681848036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1527 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1681848036 is about 41010.3405984393. The cubic root of 1681848036 is about 1189.2201269197.

The spelling of 1681848036 in words is "one billion, six hundred eighty-one million, eight hundred forty-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 297 324 396 449 594 891 898 1051 1188 1347 1782 1796 2102 2694 3153 3564 4041 4204 4939 5388 6306 8082 9459 9878 11561 12123 12612 14817 16164 18918 19756 23122 24246 28377 29634 34683 36369 37836 44451 46244 48492 56754 59268 69366 72738 85131 88902 104049 113508 133353 138732 145476 170262 177804 208098 266706 312147 340524 400059 416196 471899 533412 624294 800118 936441 943798 1248588 1415697 1600236 1872882 1887596 2831394 3745764 4247091 5190889 5662788 8494182 10381778 12741273 15572667 16988364 20763556 25482546 31145334 38223819 46718001 50965092 62290668 76447638 93436002 140154003 152895276 186872004 280308006 420462009 560616012 840924018 1681848036