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20261136852 = 223511315661
BaseRepresentation
bin10010110111101010…
…000110100111010100
31221022000220101200000
4102313222012213110
5312443322334402
613150254251300
71315042551555
oct226752064724
957260811600
1020261136852
11865797a000
123b154b6b30
131bab819498
14da2c6032c
157d8b4ec1c
hex4b7a869d4

20261136852 has 144 divisors (see below), whose sum is σ = 58423520064. Its totient is φ = 6139346400.

The previous prime is 20261136811. The next prime is 20261136859. The reversal of 20261136852 is 25863116202.

20261136852 is a `hidden beast` number, since 2 + 0 + 2 + 611 + 36 + 8 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20261136859) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1285902 + ... + 1301562.

Almost surely, 220261136852 is an apocalyptic number.

20261136852 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20261136852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29211760032).

20261136852 is an abundant number, since it is smaller than the sum of its proper divisors (38162383212).

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

20261136852 is a wasteful number, since it uses less digits than its factorization.

20261136852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15713 (or 15677 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20261136852 in words is "twenty billion, two hundred sixty-one million, one hundred thirty-six thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 121 132 162 198 242 243 297 324 363 396 484 486 594 726 891 972 1089 1188 1331 1452 1782 2178 2662 2673 3267 3564 3993 4356 5324 5346 6534 7986 9801 10692 11979 13068 15661 15972 19602 23958 29403 31322 35937 39204 46983 47916 58806 62644 71874 93966 107811 117612 140949 143748 172271 187932 215622 281898 323433 344542 422847 431244 516813 563796 646866 689084 845694 1033626 1268541 1293732 1550439 1691388 1894981 2067252 2537082 3100878 3789962 3805623 4651317 5074164 5684943 6201756 7579924 7611246 9302634 11369886 13953951 15222492 17054829 18605268 20844791 22739772 27907902 34109658 41689582 41861853 51164487 55815804 62534373 68219316 83379164 83723706 102328974 125068746 153493461 167447412 187603119 204657948 250137492 306986922 375206238 460480383 562809357 613973844 750412476 920960766 1125618714 1688428071 1841921532 2251237428 3376856142 5065284213 6753712284 10130568426 20261136852