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46229730121 = 127216932
BaseRepresentation
bin101011000011100000…
…011011001101001001
311102022211101121122201
4223003200123031021
51224134302330441
633123155320201
73224421136201
oct530340331511
9142284347581
1046229730121
1118673528533
128b622b0061
1344899147c3
142347adb401
15130889cc31
hexac381b349

46229730121 has 9 divisors (see below), whose sum is σ = 46624149351. Its totient is φ = 45838625112.

The previous prime is 46229730101. The next prime is 46229730139. The reversal of 46229730121 is 12103792264.

The square root of 46229730121 is 215011.

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., 17613271225 + 28616458896 = 132715^2 + 169164^2 .

It is not a de Polignac number, because 46229730121 - 27 = 46229729993 is a prime.

It is a super-3 number, since 3×462297301213 (a number of 33 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46229730101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27305551 + ... + 27307243.

It is an arithmetic number, because the mean of its divisors is an integer number (5180461039).

Almost surely, 246229730121 is an apocalyptic number.

46229730121 is the 215011-st square number.

46229730121 is the 107506-th centered octagonal number.

It is an amenable number.

46229730121 is a deficient number, since it is larger than the sum of its proper divisors (394419230).

46229730121 is an frugal number, since it uses more digits than its factorization.

46229730121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 46229730121 in words is "forty-six billion, two hundred twenty-nine million, seven hundred thirty thousand, one hundred twenty-one".

Divisors: 1 127 1693 16129 215011 2866249 27306397 364013623 46229730121