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20461124232 = 2334296191759
BaseRepresentation
bin10011000011100100…
…111111101010001000
31221210222012210210000
4103003210333222020
5313401021433412
613222200523000
71323021454263
oct230344775210
957728183700
1020461124232
11874a85352a
123b70480460
131c1109ab03
14dc163bcda
157eb4a54dc
hex4c393fa88

20461124232 has 160 divisors (see below), whose sum is σ = 59415840000. Its totient is φ = 6570813312.

The previous prime is 20461124219. The next prime is 20461124237. The reversal of 20461124232 is 23242116402.

20461124232 is a `hidden beast` number, since 2 + 0 + 4 + 611 + 2 + 42 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20461124196 and 20461124205.

It is not an unprimeable number, because it can be changed into a prime (20461124237) 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 39 ways as a sum of consecutive naturals, for example, 11631369 + ... + 11633127.

It is an arithmetic number, because the mean of its divisors is an integer number (371349000).

Almost surely, 220461124232 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 20461124232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29707920000).

20461124232 is an abundant number, since it is smaller than the sum of its proper divisors (38954715768).

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

20461124232 is a wasteful number, since it uses less digits than its factorization.

20461124232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2425 (or 2412 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The spelling of 20461124232 in words is "twenty billion, four hundred sixty-one million, one hundred twenty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 81 87 108 116 162 174 216 232 261 324 348 522 619 648 696 783 1044 1238 1566 1759 1857 2088 2349 2476 3132 3518 3714 4698 4952 5277 5571 6264 7036 7428 9396 10554 11142 14072 14856 15831 16713 17951 18792 21108 22284 31662 33426 35902 42216 44568 47493 50139 51011 53853 63324 66852 71804 94986 100278 102022 107706 126648 133704 142479 143608 153033 161559 189972 200556 204044 215412 284958 306066 323118 379944 401112 408088 430824 459099 484677 569916 612132 646236 918198 969354 1088821 1139832 1224264 1292472 1377297 1454031 1836396 1938708 2177642 2754594 2908062 3266463 3672792 3877416 4131891 4355284 5509188 5816124 6532926 8263782 8710568 9799389 11018376 11632248 13065852 16527564 19598778 26131704 29398167 31575809 33055128 39197556 58796334 63151618 78395112 88194501 94727427 117592668 126303236 176389002 189454854 235185336 252606472 284182281 352778004 378909708 568364562 705556008 757819416 852546843 1136729124 1705093686 2273458248 2557640529 3410187372 5115281058 6820374744 10230562116 20461124232