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238360930079364 = 2234241235592
BaseRepresentation
bin110110001100100110111010…
…100100001101001010000100
31011020222002020001022222110000
4312030212322210031022010
5222220301141100014424
62202541255525001300
7101131003024051161
oct6614467244151204
91136862201288400
10238360930079364
1169a49336a78324
1222897b41253230
13a300454476881
1442c0a32991068
151c854ac6ae3c9
hexd8c9ba90d284

238360930079364 has 135 divisors (see below), whose sum is σ = 625894716652821. Its totient is φ = 79101728115840.

The previous prime is 238360930079299. The next prime is 238360930079387. The reversal of 238360930079364 is 463970039063832.

The square root of 238360930079364 is 15438942.

It is a perfect power (a square), and thus also a powerful number.

238360930079364 is a `hidden beast` number, since 238 + 3 + 6 + 0 + 9 + 30 + 0 + 7 + 9 + 364 = 666.

It can be written as a sum of positive squares in only one way, i.e., 179264196325764 + 59096733753600 = 13388958^2 + 7687440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 66974128617 + ... + 66974132175.

Almost surely, 2238360930079364 is an apocalyptic number.

238360930079364 is the 15438942-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238360930079364

238360930079364 is an abundant number, since it is smaller than the sum of its proper divisors (387533786573457).

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

238360930079364 is an frugal number, since it uses more digits than its factorization.

238360930079364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7616 (or 3805 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 63.

The spelling of 238360930079364 in words is "two hundred thirty-eight trillion, three hundred sixty billion, nine hundred thirty million, seventy-nine thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 241 324 482 723 964 1446 2169 2892 3559 4338 6507 7118 8676 10677 13014 14236 19521 21354 26028 32031 39042 42708 58081 64062 78084 96093 116162 128124 174243 192186 232324 288279 348486 384372 522729 576558 696972 857719 1045458 1153116 1568187 1715438 2090916 2573157 3136374 3430876 4704561 5146314 6272748 7719471 9409122 10292628 12666481 15438942 18818244 23158413 25332962 30877884 37999443 46316826 50665924 69475239 75998886 92633652 113998329 138950478 151997772 206710279 227996658 277900956 341994987 413420558 455993316 620130837 683989974 826841116 1025984961 1240261674 1367979948 1860392511 2051969922 2480523348 3052621921 3720785022 4103939844 5581177533 6105243842 7441570044 9157865763 11162355066 12210487684 16743532599 18315731526 22324710132 27473597289 33487065198 36631463052 54947194578 66974130396 82420791867 109894389156 164841583734 247262375601 329683167468 494524751202 735681882961 989049502404 1471363765922 2207045648883 2942727531844 4414091297766 6621136946649 8828182595532 13242273893298 19863410839947 26484547786596 39726821679894 59590232519841 79453643359788 119180465039682 238360930079364