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56227023504 = 243619324977
BaseRepresentation
bin110100010111011001…
…000100101010010000
312101010120001202000000
4310113121010222100
51410123104223004
641455204130000
74030233546141
oct642731045220
9171116052000
1056227023504
1121933763a73
12aa92396900
1353c0b95012
142a15757ac8
1516e13c3c39
hexd17644a90

56227023504 has 140 divisors (see below), whose sum is σ = 164187937356. Its totient is φ = 18644484096.

The previous prime is 56227023499. The next prime is 56227023509. The reversal of 56227023504 is 40532072265.

56227023504 is a `hidden beast` number, since 5 + 62 + 2 + 70 + 23 + 504 = 666.

It is an interprime number because it is at equal distance from previous prime (56227023499) and next prime (56227023509).

It can be written as a sum of positive squares in 2 ways, for example, as 5715360000 + 50511663504 = 75600^2 + 224748^2 .

It is a super-2 number, since 2×562270235042 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (56227023509) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2238664 + ... + 2263640.

Almost surely, 256227023504 is an apocalyptic number.

56227023504 is a gapful number since it is divisible by the number (54) 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 56227023504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82093968678).

56227023504 is an abundant number, since it is smaller than the sum of its proper divisors (107960913852).

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

56227023504 is a wasteful number, since it uses less digits than its factorization.

56227023504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25196 (or 25175 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 56227023504 its reverse (40532072265), we get a palindrome (96759095769).

The spelling of 56227023504 in words is "fifty-six billion, two hundred twenty-seven million, twenty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 193 216 243 324 386 432 486 579 648 729 772 972 1158 1296 1458 1544 1737 1944 2316 2916 3088 3474 3888 4632 5211 5832 6948 9264 10422 11664 13896 15633 20844 24977 27792 31266 41688 46899 49954 62532 74931 83376 93798 99908 125064 140697 149862 187596 199816 224793 250128 281394 299724 375192 399632 449586 562788 599448 674379 750384 899172 1125576 1198896 1348758 1798344 2023137 2251152 2697516 3596688 4046274 4820561 5395032 6069411 8092548 9641122 10790064 12138822 14461683 16185096 18208233 19282244 24277644 28923366 32370192 36416466 38564488 43385049 48555288 57846732 72832932 77128976 86770098 97110576 115693464 130155147 145665864 173540196 231386928 260310294 291331728 347080392 390465441 520620588 694160784 780930882 1041241176 1171396323 1561861764 2082482352 2342792646 3123723528 3514188969 4685585292 6247447056 7028377938 9371170584 14056755876 18742341168 28113511752 56227023504