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23283356385060 = 2235519252148109
BaseRepresentation
bin1010100101101000101000…
…01011111011111100100100
310001102212102010202120100000
411102310110023323330210
511022433303213310220
6121304120512221300
74622111163556542
oct522642413737444
9101385363676300
1023283356385060
117467463757842
122740578b3a830
13ccb7c372c675
145a6cc5a66d92
152a59c0a0c390
hex152d142fbf24

23283356385060 has 144 divisors (see below), whose sum is σ = 77096806113600. Its totient is φ = 5882111063424.

The previous prime is 23283356385013. The next prime is 23283356385097. The reversal of 23283356385060 is 6058365338232.

23283356385060 is a `hidden beast` number, since 2 + 3 + 2 + 83 + 3 + 56 + 3 + 8 + 506 + 0 = 666.

It is a super-2 number, since 2×232833563850602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 23283356384988 and 23283356385006.

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 47 ways as a sum of consecutive naturals, for example, 125981715 + ... + 126166394.

It is an arithmetic number, because the mean of its divisors is an integer number (535394486900).

Almost surely, 223283356385060 is an apocalyptic number.

23283356385060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23283356385060 is an abundant number, since it is smaller than the sum of its proper divisors (53813449728540).

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

23283356385060 is a wasteful number, since it uses less digits than its factorization.

23283356385060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252148152 (or 252148138 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 54.

The spelling of 23283356385060 in words is "twenty-three trillion, two hundred eighty-three billion, three hundred fifty-six million, three hundred eighty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 81 90 95 108 114 135 162 171 180 190 228 243 270 285 324 342 380 405 486 513 540 570 684 810 855 972 1026 1140 1215 1539 1620 1710 2052 2430 2565 3078 3420 4617 4860 5130 6156 7695 9234 10260 15390 18468 23085 30780 46170 92340 252148109 504296218 756444327 1008592436 1260740545 1512888654 2269332981 2521481090 3025777308 3782221635 4538665962 4790814071 5042962180 6807998943 7564443270 9077331924 9581628142 11346664905 13615997886 14372442213 15128886540 19163256284 20423996829 22693329810 23954070355 27231995772 28744884426 34039994715 40847993658 43117326639 45386659620 47908140710 57489768852 61271990487 68079989430 71862211065 81695987316 86234653278 95816281420 102119984145 122543980974 129351979917 136159978860 143724422130 172469306556 204239968290 215586633195 245087961948 258703959834 287448844260 306359952435 388055939751 408479936580 431173266390 517407919668 612719904870 646759899585 776111879502 862346532780 1164167819253 1225439809740 1293519799170 1552223759004 1940279698755 2328335638506 2587039598340 3880559397510 4656671277012 5820839096265 7761118795020 11641678192530 23283356385060