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46227611229921 = 321122060332
BaseRepresentation
bin10101000001011001101000…
…10110001001111011100001
320001200022112201011001120100
422200230310112021323201
522024343121433324141
6242152401005533013
712510556205065422
oct1240546426117341
9201608481131510
1046227611229921
111380302442a400
125227279574169
131ca43254554a4
14b5b5dd459649
155527461990b6
hex2a0b34589ee1

46227611229921 has 27 divisors (see below), whose sum is σ = 73395709599667. Its totient is φ = 28016598096960.

The previous prime is 46227611229883. The next prime is 46227611229967. The reversal of 46227611229921 is 12992211672264.

The square root of 46227611229921 is 6799089.

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

46227611229921 is a `hidden beast` number, since 4 + 62 + 276 + 1 + 1 + 2 + 299 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41568644390625 + 4658966839296 = 6447375^2 + 2158464^2 .

It is not a de Polignac number, because 46227611229921 - 227 = 46227477012193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (46227611229421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 224266921 + ... + 224472953.

Almost surely, 246227611229921 is an apocalyptic number.

46227611229921 is the 6799089-th square number.

46227611229921 is the 3399545-th centered octagonal number.

It is an amenable number.

46227611229921 is a deficient number, since it is larger than the sum of its proper divisors (27168098369746).

46227611229921 is an frugal number, since it uses more digits than its factorization.

46227611229921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412094 (or 206047 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 46227611229921 in words is "forty-six trillion, two hundred twenty-seven billion, six hundred eleven million, two hundred twenty-nine thousand, nine hundred twenty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 206033 618099 1854297 2266363 6799089 20397267 24929993 74789979 224369937 42449597089 127348791267 382046373801 466945567979 1400836703937 4202510111811 5136401247769 15409203743307 46227611229921