Search a number
-
+
73382922368 = 2771919721881
BaseRepresentation
bin100010001010111110…
…1101000100010000000
321000102011220200221122
41010111331220202000
52200242012003433
653413414411412
75205332356040
oct1042575504200
9230364820848
1073382922368
1129137823788
121227b960b68
136bc6271272
1437a2019720
151d975e3198
hex1115f68880

73382922368 has 128 divisors (see below), whose sum is σ = 176771548800. Its totient is φ = 29641973760.

The previous prime is 73382922337. The next prime is 73382922397. The reversal of 73382922368 is 86322928337.

It is a tau number, because it is divible by the number of its divisors (128).

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, 3342788 + ... + 3364668.

It is an arithmetic number, because the mean of its divisors is an integer number (1381027725).

Almost surely, 273382922368 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 73382922368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88385774400).

73382922368 is an abundant number, since it is smaller than the sum of its proper divisors (103388626432).

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

73382922368 is a wasteful number, since it uses less digits than its factorization.

73382922368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22118 (or 22106 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 53.

The spelling of 73382922368 in words is "seventy-three billion, three hundred eighty-two million, nine hundred twenty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 197 224 266 304 394 448 532 608 788 896 1064 1216 1379 1576 2128 2432 2758 3152 3743 4256 5516 6304 7486 8512 11032 12608 14972 17024 21881 22064 25216 26201 29944 43762 44128 52402 59888 87524 88256 104804 119776 153167 175048 176512 209608 239552 306334 350096 415739 419216 479104 612668 700192 831478 838432 1225336 1400384 1662956 1676864 2450672 2800768 2910173 3325912 3353728 4310557 4901344 5820346 6651824 8621114 9802688 11640692 13303648 17242228 19605376 23281384 26607296 30173899 34484456 46562768 53214592 60347798 68968912 81900583 93125536 120695596 137937824 163801166 186251072 241391192 275875648 327602332 372502144 482782384 551751296 573304081 655204664 965564768 1146608162 1310409328 1931129536 2293216324 2620818656 3862259072 4586432648 5241637312 9172865296 10483274624 18345730592 36691461184 73382922368