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230186747313792 = 2734113196474813
BaseRepresentation
bin110100010101101010000111…
…010011100011111010000000
31010012000122020012100021210000
4310111222013103203322000
5220132334424303020132
62133322155403440000
766325305120002643
oct6425520723437200
91105018205307700
10230186747313792
11673877189a2275
1221997897b26000
139b596951a5329
1440bb152d4ba5a
151b92a43ac587c
hexd15a874e3e80

230186747313792 has 160 divisors (see below), whose sum is σ = 691094264000580. Its totient is φ = 76049898430464.

The previous prime is 230186747313767. The next prime is 230186747313793. The reversal of 230186747313792 is 297313747681032.

230186747313792 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 8 + 67 + 473 + 13 + 7 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 188695937848896 + 41490809464896 = 13736664^2 + 6441336^2 .

It is not an unprimeable number, because it can be changed into a prime (230186747313793) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97065823 + ... + 99408990.

Almost surely, 2230186747313792 is an apocalyptic number.

It is an amenable number.

230186747313792 is an abundant number, since it is smaller than the sum of its proper divisors (460907516686788).

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

230186747313792 is a wasteful number, since it uses less digits than its factorization.

230186747313792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196474952 (or 196474931 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 230186747313792 in words is "two hundred thirty trillion, one hundred eighty-six billion, seven hundred forty-seven million, three hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 113 128 144 162 192 216 226 288 324 339 384 432 452 576 648 678 864 904 1017 1152 1296 1356 1728 1808 2034 2592 2712 3051 3456 3616 4068 5184 5424 6102 7232 8136 9153 10368 10848 12204 14464 16272 18306 21696 24408 32544 36612 43392 48816 65088 73224 97632 130176 146448 195264 292896 390528 585792 1171584 196474813 392949626 589424439 785899252 1178848878 1571798504 1768273317 2357697756 3143597008 3536546634 4715395512 5304819951 6287194016 7073093268 9430791024 10609639902 12574388032 14146186536 15914459853 18861582048 21219279804 22201653869 25148776064 28292373072 31828919706 37723164096 42438559608 44403307738 56584746144 63657839412 66604961607 75446328192 84877119216 88806615476 113169492288 127315678824 133209923214 169754238432 177613230952 199814884821 226338984576 254631357648 266419846428 339508476864 355226461904 399629769642 509262715296 532839692856 599444654463 679016953728 710452923808 799259539284 1018525430592 1065679385712 1198889308926 1420905847616 1598519078568 1798333963389 2037050861184 2131358771424 2397778617852 2841811695232 3197038157136 3596667926778 4262717542848 4795557235704 6394076314272 7193335853556 8525435085696 9591114471408 12788152628544 14386671707112 19182228942816 25576305257088 28773343414224 38364457885632 57546686828448 76728915771264 115093373656896 230186747313792