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557402830668 = 223417722913999
BaseRepresentation
bin10000001110001111100…
…11000011011101001100
31222021202100202122110000
420013013303003131030
533113030111040133
61104022313044300
755161650612655
oct10070763033514
91867670678400
10557402830668
111a5436403822
12900410b6690
13407417b6578
141cd9abb052c
15e775364413
hex81c7cc374c

557402830668 has 120 divisors (see below), whose sum is σ = 1543200120000. Its totient is φ = 174834796032.

The previous prime is 557402830637. The next prime is 557402830697. The reversal of 557402830668 is 866038204755.

557402830668 is a `hidden beast` number, since 5 + 574 + 0 + 2 + 8 + 3 + 0 + 6 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 39810333 + ... + 39824331.

It is an arithmetic number, because the mean of its divisors is an integer number (12860001000).

Almost surely, 2557402830668 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 557402830668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771600060000).

557402830668 is an abundant number, since it is smaller than the sum of its proper divisors (985797289332).

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

557402830668 is a wasteful number, since it uses less digits than its factorization.

557402830668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21261 (or 21250 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 557402830668 in words is "five hundred fifty-seven billion, four hundred two million, eight hundred thirty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 7229 13999 14458 21687 27998 28916 41997 43374 55996 65061 83994 86748 122893 125991 130122 167988 195183 237983 245786 251982 260244 368679 377973 390366 475966 491572 503964 585549 713949 737358 755946 780732 951932 1106037 1133919 1171098 1427898 1474716 1511892 2141847 2212074 2267838 2342196 2855796 3318111 4283694 4424148 4535676 6425541 6636222 8567388 9954333 12851082 13272444 19276623 19908666 25702164 38553246 39817332 77106492 101198771 202397542 303596313 404795084 607192626 910788939 1214385252 1720379107 1821577878 2732366817 3440758214 3643155756 5161137321 5464733634 6881516428 8197100451 10322274642 10929467268 15483411963 16394200902 20644549284 30966823926 32788401804 46450235889 61933647852 92900471778 139350707667 185800943556 278701415334 557402830668