Search a number
-
+
73043067216 = 24371073136491
BaseRepresentation
bin100010000000110110…
…1001100000101010000
320222112111102021022210
41010001231030011100
52144043011122331
653315554232120
75164034553510
oct1040155140520
9228474367283
1073043067216
1128a829a8559
12121a5b85640
136b70a2a842
14376cc2d840
151d77860446
hex1101b4c150

73043067216 has 160 divisors (see below), whose sum is σ = 218395450368. Its totient is φ = 20605178880.

The previous prime is 73043067199. The next prime is 73043067217. The reversal of 73043067216 is 61276034037.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73043067217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11249731 + ... + 11256221.

Almost surely, 273043067216 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 73043067216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109197725184).

73043067216 is an abundant number, since it is smaller than the sum of its proper divisors (145352383152).

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

73043067216 is a wasteful number, since it uses less digits than its factorization.

73043067216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6929 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 39.

The spelling of 73043067216 in words is "seventy-three billion, forty-three million, sixty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 313 321 336 428 626 642 749 856 939 1252 1284 1498 1712 1878 2191 2247 2504 2568 2996 3756 4382 4494 5008 5136 5992 6491 6573 7512 8764 8988 11984 12982 13146 15024 17528 17976 19473 25964 26292 33491 35056 35952 38946 45437 51928 52584 66982 77892 90874 100473 103856 105168 133964 136311 155784 181748 200946 234437 267928 272622 311568 363496 401892 468874 535856 545244 694537 703311 726992 803784 937748 1090488 1389074 1406622 1607568 1875496 2031683 2083611 2180976 2778148 2813244 3750992 4063366 4167222 4861759 5556296 5626488 6095049 8126732 8334444 9723518 11112592 11252976 12190098 14221781 14585277 16253464 16668888 19447036 24380196 28443562 29170554 32506928 33337776 38894072 42665343 48760392 56887124 58341108 77788144 85330686 97520784 113774248 116682216 170661372 217390081 227548496 233364432 341322744 434780162 652170243 682645488 869560324 1304340486 1521730567 1739120648 2608680972 3043461134 3478241296 4565191701 5217361944 6086922268 9130383402 10434723888 12173844536 18260766804 24347689072 36521533608 73043067216