Search a number
-
+
73545206040 = 2333568097413
BaseRepresentation
bin100010001111110100…
…0101100100100011000
321000211111021120022000
41010133220230210120
52201110033043130
653441453001000
75212342636215
oct1043750544430
9230744246260
1073545206040
1129210395919
1212306183160
136c20a812c7
1437b97c0b0c
151da699c260
hex111fa2c918

73545206040 has 64 divisors (see below), whose sum is σ = 245150690400. Its totient is φ = 19612054656.

The previous prime is 73545206017. The next prime is 73545206089. The reversal of 73545206040 is 4060254537.

73545206040 is a `hidden beast` number, since 7 + 3 + 5 + 45 + 2 + 0 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 73545205986 and 73545206004.

It is a congruent number.

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, 34047627 + ... + 34049786.

Almost surely, 273545206040 is an apocalyptic number.

It is an amenable number.

73545206040 is an abundant number, since it is smaller than the sum of its proper divisors (171605484360).

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

73545206040 is a wasteful number, since it uses less digits than its factorization.

73545206040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68097433 (or 68097423 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 73545206040 in words is "seventy-three billion, five hundred forty-five million, two hundred six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 68097413 136194826 204292239 272389652 340487065 408584478 544779304 612876717 680974130 817168956 1021461195 1225753434 1361948260 1634337912 1838630151 2042922390 2451506868 2723896520 3064383585 3677260302 4085844780 4903013736 6128767170 7354520604 8171689560 9193150755 12257534340 14709041208 18386301510 24515068680 36772603020 73545206040