Search a number
-
+
72266152448 = 297173138261
BaseRepresentation
bin100001101001101100…
…1011111101000000000
320220112100111220121202
41003103121133220000
52141000113334243
653110522240332
75135552106050
oct1032331375000
9226470456552
1072266152448
11287143a4a36
12120099560a8
136a78a9b469
1436d7993560
151d2e5484b8
hex10d365fa00

72266152448 has 160 divisors (see below), whose sum is σ = 180366455808. Its totient is φ = 28208332800.

The previous prime is 72266152423. The next prime is 72266152451. The reversal of 72266152448 is 84425166227.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1869638 + ... + 1907898.

Almost surely, 272266152448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72266152448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90183227904).

72266152448 is an abundant number, since it is smaller than the sum of its proper divisors (108100303360).

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

72266152448 is a wasteful number, since it uses less digits than its factorization.

72266152448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38334 (or 38318 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 47.

The spelling of 72266152448 in words is "seventy-two billion, two hundred sixty-six million, one hundred fifty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 31 32 34 56 62 64 68 112 119 124 128 136 217 224 238 248 256 272 434 448 476 496 512 527 544 868 896 952 992 1054 1088 1736 1792 1904 1984 2108 2176 3472 3584 3689 3808 3968 4216 4352 6944 7378 7616 7936 8432 8704 13888 14756 15232 15872 16864 27776 29512 30464 33728 38261 55552 59024 60928 67456 76522 111104 118048 134912 153044 236096 267827 269824 306088 472192 535654 612176 650437 944384 1071308 1186091 1224352 1300874 1888768 2142616 2372182 2448704 2601748 4285232 4553059 4744364 4897408 5203496 8302637 8570464 9106118 9488728 9794816 10406992 16605274 17140928 18212236 18977456 19589632 20163547 20813984 33210548 34281856 36424472 37954912 40327094 41627968 66421096 68563712 72848944 75909824 80654188 83255936 132842192 137127424 141144829 145697888 151819648 161308376 166511872 265684384 282289658 291395776 303639296 322616752 333023744 531368768 564579316 582791552 607278592 645233504 1062737536 1129158632 1165583104 1290467008 2125475072 2258317264 2331166208 2580934016 4250950144 4516634528 5161868032 9033269056 10323736064 18066538112 36133076224 72266152448