Search a number
-
+
73445409920 = 275268942677
BaseRepresentation
bin100010001100110110…
…0000000010010000000
321000120112111101202102
41010121230000102000
52200404011104140
653423530005532
75210021453351
oct1043154002200
9230515441672
1073445409920
112916a023593
12122988768a8
136c061ac54c
1437aa443d28
151d9cd37e15
hex1119b00480

73445409920 has 64 divisors (see below), whose sum is σ = 175649844600. Its totient is φ = 29366550528.

The previous prime is 73445409883. The next prime is 73445409943. The reversal of 73445409920 is 2990454437.

It can be written as a sum of positive squares in 4 ways, for example, as 41593155136 + 31852254784 = 203944^2 + 178472^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1699622 + ... + 1742298.

Almost surely, 273445409920 is an apocalyptic number.

It is an amenable number.

73445409920 is an abundant number, since it is smaller than the sum of its proper divisors (102204434680).

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

73445409920 is a wasteful number, since it uses less digits than its factorization.

73445409920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45385 (or 45373 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 73445409920 in words is "seventy-three billion, four hundred forty-five million, four hundred nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 2689 5378 10756 13445 21512 26890 42677 43024 53780 85354 86048 107560 170708 172096 213385 215120 341416 344192 426770 430240 682832 853540 860480 1365664 1707080 1720960 2731328 3414160 5462656 6828320 13656640 27313280 114758453 229516906 459033812 573792265 918067624 1147584530 1836135248 2295169060 3672270496 4590338120 7344540992 9180676240 14689081984 18361352480 36722704960 73445409920