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424225558276 = 22134412472
BaseRepresentation
bin1100010110001011101…
…00000100111100000100
31111120000000020020110221
412023011310010330010
523422303220331101
6522515253554124
742435463514542
oct6130564047404
91446000206427
10424225558276
11153a052a4943
126a274345944
13310095a0000
1416765754d92
15b07d5e1aa1
hex62c5d04f04

424225558276 has 135 divisors (see below), whose sum is σ = 842265908057. Its totient is φ = 186956615040.

The previous prime is 424225558249. The next prime is 424225558277. The reversal of 424225558276 is 672855522424.

The square root of 424225558276 is 651326.

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

It can be written as a sum of positive squares in 7 ways, for example, as 304564911876 + 119660646400 = 551874^2 + 345920^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (424225558277) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9026075685 + ... + 9026075731.

Almost surely, 2424225558276 is an apocalyptic number.

424225558276 is the 651326-th square number.

It is an amenable number.

424225558276 is a deficient number, since it is larger than the sum of its proper divisors (418040349781).

424225558276 is an frugal number, since it uses more digits than its factorization.

424225558276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 103 counting only the distinct ones).

The product of its digits is 10752000, while the sum is 52.

The spelling of 424225558276 in words is "four hundred twenty-four billion, two hundred twenty-five million, five hundred fifty-eight thousand, two hundred seventy-six".

Divisors: 1 2 4 13 26 41 47 52 82 94 164 169 188 338 533 611 676 1066 1222 1681 1927 2132 2197 2209 2444 3362 3854 4394 4418 6724 6929 7708 7943 8788 8836 13858 15886 21853 25051 27716 28561 28717 31772 43706 50102 57122 57434 79007 87412 90077 90569 100204 103259 114244 114868 158014 180154 181138 206518 284089 316028 325663 360308 362276 373321 413036 568178 651326 746642 1027091 1136356 1171001 1177397 1302652 1342367 1493284 2054182 2342002 2354794 2684734 3693157 3713329 4108364 4233619 4684004 4709588 4853173 5369468 7386314 7426658 8467238 9706346 13352183 14772628 14853316 15306161 16934476 19412692 26704366 30612322 48011041 48273277 53408732 55037047 61224644 63091249 96022082 96546554 110074094 126182498 173578379 192044164 193093108 198980093 220148188 252364996 347156758 397960186 627552601 694313516 795920372 1255105202 2256518927 2510210404 2586741209 4513037854 5173482418 8158183813 9026075708 10346964836 16316367626 32632735252 106056389569 212112779138 424225558276