Search a number
-
+
73490076171432 = 2333340231834127
BaseRepresentation
bin10000101101011010111101…
…111000100111110010101000
3100122012120201202200000221000
4100231122331320213302220
534113030133444441212
6420144512552115000
721323324411433624
oct2055327570476250
9318176652600830
1073490076171432
1121463a6a130a88
1282aaa51995a60
1332011136b6a5b
141420d1d9aa184
158769a3a091dc
hex42d6bde27ca8

73490076171432 has 32 divisors (see below), whose sum is σ = 204139100476800. Its totient is φ = 24496692057072.

The previous prime is 73490076171409. The next prime is 73490076171437. The reversal of 73490076171432 is 23417167009437.

It is a happy number.

73490076171432 is a `hidden beast` number, since 7 + 3 + 4 + 9 + 0 + 0 + 7 + 617 + 14 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (73490076171437) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170115916848 + ... + 170115917279.

It is an arithmetic number, because the mean of its divisors is an integer number (6379346889900).

Almost surely, 273490076171432 is an apocalyptic number.

73490076171432 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

73490076171432 is an abundant number, since it is smaller than the sum of its proper divisors (130649024305368).

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

73490076171432 is a wasteful number, since it uses less digits than its factorization.

73490076171432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340231834142 (or 340231834132 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 73490076171432 in words is "seventy-three trillion, four hundred ninety billion, seventy-six million, one hundred seventy-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 340231834127 680463668254 1020695502381 1360927336508 2041391004762 2721854673016 3062086507143 4082782009524 6124173014286 8165564019048 9186259521429 12248346028572 18372519042858 24496692057144 36745038085716 73490076171432