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56200534224 = 24323294340823
BaseRepresentation
bin110100010101110100…
…000001100011010000
312101001201012221112120
4310111310001203100
51410044314043344
641452420254240
74026462442002
oct642564014320
9171051187476
1056200534224
112191a8111aa
12aa85541380
1353b854bca3
142a12020372
1516ddde0219
hexd15d018d0

56200534224 has 160 divisors (see below), whose sum is σ = 160369735680. Its totient is φ = 16898348544.

The previous prime is 56200534189. The next prime is 56200534241. The reversal of 56200534224 is 42243500265.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1356277 + ... + 1397099.

It is an arithmetic number, because the mean of its divisors is an integer number (1002310848).

Almost surely, 256200534224 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 56200534224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80184867840).

56200534224 is an abundant number, since it is smaller than the sum of its proper divisors (104169201456).

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

56200534224 is a wasteful number, since it uses less digits than its factorization.

56200534224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40929 (or 40923 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

The spelling of 56200534224 in words is "fifty-six billion, two hundred million, five hundred thirty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 43 46 48 58 69 86 87 92 116 129 138 172 174 184 232 258 276 344 348 368 464 516 552 667 688 696 989 1032 1104 1247 1334 1392 1978 2001 2064 2494 2668 2967 3741 3956 4002 4988 5336 5934 7482 7912 8004 9976 10672 11868 14964 15824 16008 19952 23736 28681 29928 32016 40823 47472 57362 59856 81646 86043 114724 122469 163292 172086 229448 244938 326584 344172 458896 489876 653168 688344 938929 979752 1183867 1376688 1755389 1877858 1959504 2367734 2816787 3510778 3551601 3755716 4735468 5266167 5633574 7021556 7103202 7511432 9470936 10532334 11267148 14043112 14206404 15022864 18941872 21064668 22534296 27228941 28086224 28412808 40373947 42129336 45068592 50906281 54457882 56825616 80747894 81686823 84258672 101812562 108915764 121121841 152718843 161495788 163373646 203625124 217831528 242243682 305437686 322991576 326747292 407250248 435663056 484487364 610875372 645983152 653494584 814500496 968974728 1170844463 1221750744 1306989168 1937949456 2341688926 2443501488 3512533389 4683377852 7025066778 9366755704 14050133556 18733511408 28100267112 56200534224