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46203932401 = 112195412
BaseRepresentation
bin101011000001111110…
…000000111011110001
311102021000211221211121
4223001332000323301
51224111201314101
633120434342241
73223655642164
oct530176007361
9142230757747
1046203932401
111865aa08300
128b5572a981
134484481493
142344503adb
1513064a40a1
hexac1f80ef1

46203932401 has 9 divisors (see below), whose sum is σ = 50788739659. Its totient is φ = 42001425400.

The previous prime is 46203932399. The next prime is 46203932407. The reversal of 46203932401 is 10423930264.

It is a happy number.

The square root of 46203932401 is 214951.

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

46203932401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 11481336801 + 34722595600 = 107151^2 + 186340^2 .

It is not a de Polignac number, because 46203932401 - 21 = 46203932399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46203932407) 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, 2354691 + ... + 2374231.

Almost surely, 246203932401 is an apocalyptic number.

46203932401 is the 214951-st square number.

46203932401 is the 107476-th centered octagonal number.

It is an amenable number.

46203932401 is a deficient number, since it is larger than the sum of its proper divisors (4584807258).

46203932401 is an frugal number, since it uses more digits than its factorization.

46203932401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39104 (or 19552 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 34.

The spelling of 46203932401 in words is "forty-six billion, two hundred three million, nine hundred thirty-two thousand, four hundred one".

Divisors: 1 11 121 19541 214951 2364461 381850681 4200357491 46203932401