Search a number
-
+
73292219040 = 2535233655331
BaseRepresentation
bin100010001000010001…
…1101000001010100000
321000011212020111101010
41010100203220022200
52200100302002130
653400414340520
75203151403615
oct1042043501240
9230155214333
1073292219040
11290a0601a57
12122554ba740
136bb0534161
143793d6850c
151d8e6780b0
hex11108e82a0

73292219040 has 96 divisors (see below), whose sum is σ = 231861704256. Its totient is φ = 19460679680.

The previous prime is 73292219027. The next prime is 73292219053. The reversal of 73292219040 is 4091229237.

It is an interprime number because it is at equal distance from previous prime (73292219027) and next prime (73292219053).

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 73292219040.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215826 + ... + 439505.

It is an arithmetic number, because the mean of its divisors is an integer number (2415226086).

Almost surely, 273292219040 is an apocalyptic number.

It is an amenable number.

73292219040 is an abundant number, since it is smaller than the sum of its proper divisors (158569485216).

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

73292219040 is a wasteful number, since it uses less digits than its factorization.

73292219040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655582 (or 655574 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 73292219040 in words is "seventy-three billion, two hundred ninety-two million, two hundred nineteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 233 240 466 480 699 932 1165 1398 1864 2330 2796 3495 3728 4660 5592 6990 7456 9320 11184 13980 18640 22368 27960 37280 55920 111840 655331 1310662 1965993 2621324 3276655 3931986 5242648 6553310 7863972 9829965 10485296 13106620 15727944 19659930 20970592 26213240 31455888 39319860 52426480 62911776 78639720 104852960 152692123 157279440 305384246 314558880 458076369 610768492 763460615 916152738 1221536984 1526921230 1832305476 2290381845 2443073968 3053842460 3664610952 4580763690 4886147936 6107684920 7329221904 9161527380 12215369840 14658443808 18323054760 24430739680 36646109520 73292219040