Search a number
-
+
72264614450 = 2527254312
BaseRepresentation
bin100001101001101001…
…1101000001000110010
320220112020121202212212
41003103103220020302
52140444220130300
653110425252122
75135533042100
oct1032323501062
9226466552785
1072264614450
1128713544466
1212009334042
136a786803c2
1436d76b2c70
151d2e342935
hex10d34e8232

72264614450 has 54 divisors (see below), whose sum is σ = 156385824093. Its totient is φ = 24771877200.

The previous prime is 72264614449. The next prime is 72264614467. The reversal of 72264614450 is 5441646227.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70819322161 + 1445292289 = 266119^2 + 38017^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=190085.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 72264614398 and 72264614407.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13303235 + ... + 13308665.

Almost surely, 272264614450 is an apocalyptic number.

72264614450 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

72264614450 is an abundant number, since it is smaller than the sum of its proper divisors (84121209643).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72264614450 is an frugal number, since it uses more digits than its factorization.

72264614450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10888 (or 5445 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 41.

The spelling of 72264614450 in words is "seventy-two billion, two hundred sixty-four million, six hundred fourteen thousand, four hundred fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 70 98 175 245 350 490 1225 2450 5431 10862 27155 38017 54310 76034 135775 190085 266119 271550 380170 532238 950425 1330595 1900850 2661190 6652975 13305950 29495761 58991522 147478805 206470327 294957610 412940654 737394025 1032351635 1445292289 1474788050 2064703270 2890584578 5161758175 7226461445 10323516350 14452922890 36132307225 72264614450