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30519740601 = 3472472592
BaseRepresentation
bin11100011011000111…
…100100100010111001
32220202222021110110000
4130123013210202321
51000001023144401
622004235543213
72130210341400
oct343307444271
986688243400
1030519740601
1111a41663919
125ab8bbab09
132b54c6c50c
14169749c637
15bd9591186
hex71b1e48b9

30519740601 has 135 divisors (see below), whose sum is σ = 55121079189. Its totient is φ = 16779489552.

The previous prime is 30519740539. The next prime is 30519740609. The reversal of 30519740601 is 10604791503.

The square root of 30519740601 is 174699.

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

30519740601 is a `hidden beast` number, since 3 + 0 + 5 + 1 + 9 + 7 + 40 + 601 = 666.

It is not a de Polignac number, because 30519740601 - 211 = 30519738553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (30519740609) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 517283710 + ... + 517283768.

Almost surely, 230519740601 is an apocalyptic number.

30519740601 is the 174699-th square number.

30519740601 is the 87350-th centered octagonal number.

It is an amenable number.

30519740601 is a deficient number, since it is larger than the sum of its proper divisors (24601338588).

30519740601 is an frugal number, since it uses more digits than its factorization.

30519740601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 30519740601 by its sum of digits (36), we get a square (1098710661636 = 10481942).

The spelling of 30519740601 in words is "thirty billion, five hundred nineteen million, seven hundred forty thousand, six hundred one".

Divisors: 1 3 7 9 21 27 47 49 59 63 81 141 147 177 189 329 413 423 441 531 567 987 1239 1269 1323 1593 2209 2303 2773 2891 2961 3481 3717 3807 3969 4779 6627 6909 8319 8673 8883 10443 11151 15463 19411 19881 20727 24367 24957 26019 26649 31329 33453 46389 58233 59643 62181 73101 74871 78057 93987 108241 130331 135877 139167 163607 170569 174699 178929 186543 219303 224613 234171 281961 324723 390993 407631 417501 490821 511707 524097 657909 912317 974169 1145249 1172979 1222893 1252503 1472463 1535121 1572291 1973727 2736951 2922507 3435747 3518937 3668679 4417389 4605363 6386219 7689529 8016743 8210853 8767521 10307241 10556811 11006037 13252167 13816089 19158657 23068587 24050229 24632559 30921723 53826703 57475971 69205761 72150687 73897677 92765169 161480109 172427913 207617283 216452061 376786921 484440327 517283739 622851849 649356183 1130360763 1453320981 3391082289 4359962943 10173246867 30519740601