Search a number
-
+
73031972748 = 22374167316501
BaseRepresentation
bin100010000000100001…
…0110111011110001100
320222111201112121120120
41010001002313132030
52144032141111443
653314520344540
75163541345230
oct1040102673614
9228451477516
1073031972748
1128a77710079
12121a2315150
136b6b644a77
14376b5825c0
151d768bd083
hex11010b778c

73031972748 has 96 divisors (see below), whose sum is σ = 202480255488. Its totient is φ = 20053440000.

The previous prime is 73031972747. The next prime is 73031972771. The reversal of 73031972748 is 84727913037.

It is a happy number.

It is a super-2 number, since 2×730319727482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73031972748.

It is not an unprimeable number, because it can be changed into a prime (73031972743) 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, 72498 + ... + 388998.

It is an arithmetic number, because the mean of its divisors is an integer number (2109169328).

Almost surely, 273031972748 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 73031972748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101240127744).

73031972748 is an abundant number, since it is smaller than the sum of its proper divisors (129448282740).

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

73031972748 is a wasteful number, since it uses less digits than its factorization.

73031972748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316623 (or 316621 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 73031972748 in words is "seventy-three billion, thirty-one million, nine hundred seventy-two thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 67 82 84 123 134 164 201 246 268 287 402 469 492 574 804 861 938 1148 1407 1722 1876 2747 2814 3444 5494 5628 8241 10988 16482 19229 32964 38458 57687 76916 115374 230748 316501 633002 949503 1266004 1899006 2215507 3798012 4431014 6646521 8862028 12976541 13293042 21205567 25953082 26586084 38929623 42411134 51906164 63616701 77859246 84822268 90835787 127233402 148438969 155718492 181671574 254466804 272507361 296877938 363343148 445316907 545014722 593755876 869428247 890633814 1090029444 1738856494 1781267628 2608284741 3477712988 5216569482 6085997729 10433138964 12171995458 18257993187 24343990916 36515986374 73031972748