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20133143952 = 2435925492789
BaseRepresentation
bin10010110000000001…
…110110010110010000
31220222010001200102020
4102300001312112100
5312213041101302
613125443051440
71311626620455
oct226001662620
956863050366
1020133143952
1185a16a9049
123a9a670b80
131b8b15443c
14d8dc6382c
157cc7baebc
hex4b0076590

20133143952 has 80 divisors (see below), whose sum is σ = 52931880000. Its totient is φ = 6592348672.

The previous prime is 20133143939. The next prime is 20133143957. The reversal of 20133143952 is 25934133102.

It is not an unprimeable number, because it can be changed into a prime (20133143957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7217374 + ... + 7220162.

It is an arithmetic number, because the mean of its divisors is an integer number (661648500).

Almost surely, 220133143952 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 20133143952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26465940000).

20133143952 is an abundant number, since it is smaller than the sum of its proper divisors (32798736048).

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

20133143952 is a wasteful number, since it uses less digits than its factorization.

20133143952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5408 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 20133143952 in words is "twenty billion, one hundred thirty-three million, one hundred forty-three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2549 2789 2832 5098 5578 7647 8367 10196 11156 15294 16734 20392 22312 30588 33468 40784 44624 61176 66936 122352 133872 150391 164551 300782 329102 451173 493653 601564 658204 902346 987306 1203128 1316408 1804692 1974612 2406256 2632816 3609384 3949224 7109161 7218768 7898448 14218322 21327483 28436644 42654966 56873288 85309932 113746576 170619864 341239728 419440499 838880998 1258321497 1677761996 2516642994 3355523992 5033285988 6711047984 10066571976 20133143952