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20265981552 = 2432198598623
BaseRepresentation
bin10010110111111100…
…100101011001110000
31221022101000112100100
4102313330211121300
5313001042402202
613150550152400
71315132000215
oct226774453160
957271015310
1020265981552
11865a688993
123b17052700
131bac82467b
14da3761b0c
157d92aa41c
hex4b7f25670

20265981552 has 120 divisors (see below), whose sum is σ = 59778118400. Its totient is φ = 6391592064.

The previous prime is 20265981517. The next prime is 20265981557. The reversal of 20265981552 is 25518956202.

20265981552 is a `hidden beast` number, since 2 + 0 + 2 + 6 + 5 + 98 + 1 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 20265981498 and 20265981507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20265981557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2345913 + ... + 2354535.

Almost surely, 220265981552 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 20265981552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29889059200).

20265981552 is an abundant number, since it is smaller than the sum of its proper divisors (39512136848).

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

20265981552 is a wasteful number, since it uses less digits than its factorization.

20265981552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9515 (or 9506 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 20265981552 in words is "twenty billion, two hundred sixty-five million, nine hundred eighty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 859 912 1368 1718 2577 2736 3436 5154 6872 7731 8623 10308 13744 15462 16321 17246 20616 25869 30924 32642 34492 41232 48963 51738 61848 65284 68984 77607 97926 103476 123696 130568 137968 146889 155214 163837 195852 206952 261136 293778 310428 327674 391704 413904 491511 587556 620856 655348 783408 983022 1175112 1241712 1310696 1474533 1966044 2350224 2621392 2949066 3932088 5898132 7407157 7864176 11796264 14814314 22221471 23592528 29628628 44442942 59257256 66664413 88885884 118514512 133328826 140735983 177771768 266657652 281471966 355543536 422207949 533315304 562943932 844415898 1066630608 1125887864 1266623847 1688831796 2251775728 2533247694 3377663592 5066495388 6755327184 10132990776 20265981552