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46225430001 = 3679632
BaseRepresentation
bin101011000011010000…
…000001010111110001
311102022112022011000000
4223003100001113301
51224132202230001
633122523220213
73224336446332
oct530320012761
9142275264000
1046225430001
1118671060813
128b60977669
134488a6a45a
1423472dc289
1513082eda86
hexac34015f1

46225430001 has 21 divisors (see below), whose sum is σ = 69315144969. Its totient is φ = 30813083316.

The previous prime is 46225429981. The next prime is 46225430023. The reversal of 46225430001 is 10003452264.

The square root of 46225430001 is 215001.

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

46225430001 is a `hidden beast` number, since 4 + 6 + 225 + 430 + 0 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-46225430001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (46225430071) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5801046 + ... + 5809008.

It is an arithmetic number, because the mean of its divisors is an integer number (3300721189).

Almost surely, 246225430001 is an apocalyptic number.

46225430001 is the 215001-st square number.

46225430001 is the 107501-st centered octagonal number.

It is an amenable number.

46225430001 is a deficient number, since it is larger than the sum of its proper divisors (23089714968).

46225430001 is an frugal number, since it uses more digits than its factorization.

46225430001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15944 (or 7966 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 46225430001 its reverse (10003452264), we get a palindrome (56228882265).

The spelling of 46225430001 in words is "forty-six billion, two hundred twenty-five million, four hundred thirty thousand, one".

Divisors: 1 3 9 27 81 243 729 7963 23889 71667 215001 645003 1935009 5805027 63409369 190228107 570684321 1712052963 5136158889 15408476667 46225430001