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553425604344 = 2332181104940483
BaseRepresentation
bin10000000110110101011…
…11001000111011111000
31221220111011220121121100
420003122233020323320
533031403423314334
61102123515211400
754661255006644
oct10033257107370
91856434817540
10553425604344
111a3785364818
128b311146b60
1340259809902
141cb008a7c24
15e5e10dbc99
hex80dabc8ef8

553425604344 has 96 divisors (see below), whose sum is σ = 1508616018000. Its totient is φ = 183276587520.

The previous prime is 553425604337. The next prime is 553425604357. The reversal of 553425604344 is 443406524355.

553425604344 is a `hidden beast` number, since 5 + 5 + 3 + 4 + 2 + 5 + 604 + 34 + 4 = 666.

553425604344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 553425604344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13650327 + ... + 13690809.

Almost surely, 2553425604344 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 553425604344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754308009000).

553425604344 is an abundant number, since it is smaller than the sum of its proper divisors (955190413656).

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

553425604344 is a wasteful number, since it uses less digits than its factorization.

553425604344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41725 (or 41718 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 553425604344 in words is "five hundred fifty-three billion, four hundred twenty-five million, six hundred four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 181 362 543 724 1049 1086 1448 1629 2098 2172 3147 3258 4196 4344 6294 6516 8392 9441 12588 13032 18882 25176 37764 40483 75528 80966 121449 161932 189869 242898 323864 364347 379738 485796 569607 728694 759476 971592 1139214 1457388 1518952 1708821 2278428 2914776 3417642 4556856 6835284 7327423 13670568 14654846 21982269 29309692 42466667 43964538 58619384 65946807 84933334 87929076 127400001 131893614 169866668 175858152 254800002 263787228 339733336 382200003 509600004 527574456 764400006 1019200008 1528800012 3057600024 7686466727 15372933454 23059400181 30745866908 46118800362 61491733816 69178200543 92237600724 138356401086 184475201448 276712802172 553425604344