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57224798208 = 213328812
BaseRepresentation
bin110101010010110111…
…010010000000000000
312110201002112221120200
4311102313102000000
51414144022020313
642142210005200
74064040521244
oct652267220000
9173632487520
1057224798208
11222a59a7966
12b110576800
13551c803356
142aac086424
15174dcb5b73
hexd52dd2000

57224798208 has 126 divisors (see below), whose sum is σ = 165493841097. Its totient is φ = 19053281280.

The previous prime is 57224798203. The next prime is 57224798219. The reversal of 57224798208 is 80289742275.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

57224798208 is a `hidden beast` number, since 572 + 2 + 47 + 9 + 8 + 20 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50376904704 + 6847893504 = 224448^2 + 82752^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=169152.

It is a super-2 number, since 2×572247982082 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (57224798201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 64953928 + ... + 64954808.

Almost surely, 257224798208 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 57224798208

57224798208 is an abundant number, since it is smaller than the sum of its proper divisors (108269042889).

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

57224798208 is an frugal number, since it uses more digits than its factorization.

57224798208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 57224798208 in words is "fifty-seven billion, two hundred twenty-four million, seven hundred ninety-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 881 1024 1152 1536 1762 2048 2304 2643 3072 3524 4096 4608 5286 6144 7048 7929 8192 9216 10572 12288 14096 15858 18432 21144 24576 28192 31716 36864 42288 56384 63432 73728 84576 112768 126864 169152 225536 253728 338304 451072 507456 676608 776161 902144 1014912 1353216 1552322 1804288 2029824 2328483 2706432 3104644 3608576 4059648 4656966 5412864 6209288 6985449 7217152 8119296 9313932 10825728 12418576 13970898 16238592 18627864 21651456 24837152 27941796 32477184 37255728 49674304 55883592 64954368 74511456 99348608 111767184 149022912 198697216 223534368 298045824 397394432 447068736 596091648 794788864 894137472 1192183296 1589577728 1788274944 2384366592 3179155456 3576549888 4768733184 6358310912 7153099776 9537466368 14306199552 19074932736 28612399104 57224798208