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56253207426 = 23131392163229
BaseRepresentation
bin110100011000111100…
…111101001110000010
312101012101100000120220
4310120330331032002
51410201310114201
641501541243510
74031002242123
oct643074751602
9171171300526
1056253207426
1121947518379
12aa9b103596
1353c6432070
142a1901204a
1516e3847036
hexd18f3d382

56253207426 has 96 divisors (see below), whose sum is σ = 123323578560. Its totient is φ = 17004152448.

The previous prime is 56253207419. The next prime is 56253207427. The reversal of 56253207426 is 62470235265.

It is a happy number.

56253207426 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 (56253207427) 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, 245647080 + ... + 245647308.

It is an arithmetic number, because the mean of its divisors is an integer number (1284620610).

Almost surely, 256253207426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56253207426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61661789280).

56253207426 is an abundant number, since it is smaller than the sum of its proper divisors (67070371134).

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

56253207426 is a wasteful number, since it uses less digits than its factorization.

56253207426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 56253207426 in words is "fifty-six billion, two hundred fifty-three million, two hundred seven thousand, four hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 139 163 229 278 326 417 458 489 687 834 978 1374 1807 2119 2977 3614 4238 5421 5954 6357 8931 10842 12714 17862 19321 22657 31831 37327 38642 45314 57963 63662 67971 74654 95493 111981 115926 135942 190986 223962 251173 294541 413803 485251 502346 589082 753519 827606 883623 970502 1241409 1455753 1507038 1767246 2482818 2911506 3149323 4424509 5188453 6298646 8849018 9447969 10376906 13273527 15565359 18895938 26547054 31130718 40941199 57518617 67449889 81882398 115037234 122823597 134899778 172555851 202349667 245647194 345111702 404699334 721194967 1442389934 2163584901 4327169802 9375534571 18751069142 28126603713 56253207426