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4474329098121 = 3615724992
BaseRepresentation
bin100000100011100001011…
…0010111110011110001001
3120211202000200120111000000
41001013002302332132021
51041301411222114441
613303251200433213
7641155021551111
oct101070262763611
916752020514000
104474329098121
111475609148583
126031a3918809
13265c0971b22c
141167b7058041
157b5c30952b6
hex411c2cbe789

4474329098121 has 63 divisors (see below), whose sum is σ = 6764982838551. Its totient is φ = 2957947138224.

The previous prime is 4474329098119. The next prime is 4474329098143. The reversal of 4474329098121 is 1218909234744.

The square root of 4474329098121 is 2115261.

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

4474329098121 is a `hidden beast` number, since 4 + 47 + 432 + 90 + 9 + 81 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1311494492025 + 3162834606096 = 1145205^2 + 1778436^2 .

It is not a de Polignac number, because 4474329098121 - 21 = 4474329098119 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4474329098111) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 8966591130 + ... + 8966591628.

It is an arithmetic number, because the mean of its divisors is an integer number (107380679977).

Almost surely, 24474329098121 is an apocalyptic number.

4474329098121 is the 2115261-st square number.

4474329098121 is the 1057631-st centered octagonal number.

It is an amenable number.

4474329098121 is a deficient number, since it is larger than the sum of its proper divisors (2290653740430).

4474329098121 is an frugal number, since it uses more digits than its factorization.

4474329098121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4474329098121 in words is "four trillion, four hundred seventy-four billion, three hundred twenty-nine million, ninety-eight thousand, one hundred twenty-one".

Divisors: 1 3 9 27 81 157 243 471 499 729 1413 1497 4239 4491 12717 13473 24649 38151 40419 73947 78343 114453 121257 221841 235029 249001 363771 665523 705087 747003 1996569 2115261 2241009 5989707 6345783 6723027 12299851 17969121 19037349 20169081 36899553 39093157 57112047 60507243 110698659 117279471 181521729 332095977 351838413 996287931 1055515239 2988863793 3166545717 6137625649 8966591379 9499637151 18412876947 28498911453 55238630841 165715892523 497147677569 1491443032707 4474329098121