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56432606552 = 23721033893593
BaseRepresentation
bin110100100011101001…
…010011110101011000
312101122212220102220222
4310203221103311120
51411033221402202
641531430335212
74035311145500
oct644351236530
9171585812828
1056432606552
1121a2980a613
12ab2b1ba508
1354246555aa
142a34b90a00
1517044824a2
hexd23a53d58

56432606552 has 96 divisors (see below), whose sum is σ = 124635607200. Its totient is φ = 23882374656.

The previous prime is 56432606551. The next prime is 56432606569. The reversal of 56432606552 is 25560623465.

56432606552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56432606551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15704468 + ... + 15708060.

It is an arithmetic number, because the mean of its divisors is an integer number (1298287575).

Almost surely, 256432606552 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 56432606552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62317803600).

56432606552 is an abundant number, since it is smaller than the sum of its proper divisors (68203000648).

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

56432606552 is a wasteful number, since it uses less digits than its factorization.

56432606552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 44.

The spelling of 56432606552 in words is "fifty-six billion, four hundred thirty-two million, six hundred six thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 103 196 206 389 392 412 721 778 824 1442 1556 2723 2884 3112 3593 5047 5446 5768 7186 10094 10892 14372 19061 20188 21784 25151 28744 38122 40067 40376 50302 76244 80134 100604 152488 160268 176057 201208 280469 320536 352114 370079 560938 704228 740158 1121876 1397677 1408456 1480316 1963283 2243752 2590553 2795354 2960632 3926566 5181106 5590708 7853132 9783739 10362212 11181416 15706264 18133871 19567478 20724424 36267742 39134956 68486173 72535484 78269912 136972346 143960731 145070968 273944692 287921462 547889384 575842924 1007725117 1151685848 2015450234 4030900468 7054075819 8061800936 14108151638 28216303276 56432606552