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30948901929 = 3411217772
BaseRepresentation
bin11100110100101100…
…101100010000101001
32221212212211010010000
4130310230230100221
51001340404330204
622115010213213
72143641216531
oct346454542051
987785733100
1030948901929
1112141937100
125bb8884209
132bc2b5112a
1416d84944c1
15c120b5039
hex734b2c429

30948901929 has 45 divisors (see below), whose sum is σ = 50845946151. Its totient is φ = 18746354880.

The previous prime is 30948901901. The next prime is 30948901937. The reversal of 30948901929 is 92910984903.

The square root of 30948901929 is 175923.

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

It can be written as a sum of positive squares in only one way, i.e., 15683805225 + 15265096704 = 125235^2 + 123552^2 .

It is not a de Polignac number, because 30948901929 - 211 = 30948899881 is a prime.

It is a super-2 number, since 2×309489019292 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30948901229) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 17415489 + ... + 17417265.

Almost surely, 230948901929 is an apocalyptic number.

30948901929 is the 175923-rd square number.

30948901929 is the 87962-nd centered octagonal number.

It is an amenable number.

30948901929 is a deficient number, since it is larger than the sum of its proper divisors (19897044222).

30948901929 is an frugal number, since it uses more digits than its factorization.

30948901929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3588 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 30948901929 in words is "thirty billion, nine hundred forty-eight million, nine hundred one thousand, nine hundred twenty-nine".

Divisors: 1 3 9 11 27 33 81 99 121 297 363 891 1089 1777 3267 5331 9801 15993 19547 47979 58641 143937 175923 215017 527769 645051 1583307 1935153 3157729 5805459 9473187 17416377 28419561 34735019 85258683 104205057 255776049 312615171 382085209 937845513 1146255627 2813536539 3438766881 10316300643 30948901929