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1632226146054 = 2371918233112181
BaseRepresentation
bin10111110000001000010…
…000100111011100000110
312210001001122110022122020
4113300020100213130012
5203220244343133204
63245500114544010
7225632041216440
oct27601020473406
95701048408566
101632226146054
1157a25011aa49
12224405298006
13babc257550a
145900065b490
152c6d0891bd9
hex17c08427706

1632226146054 has 64 divisors (see below), whose sum is σ = 3927411048960. Its totient is φ = 441777404160.

The previous prime is 1632226146043. The next prime is 1632226146059. The reversal of 1632226146054 is 4506416222361.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1632226145997 and 1632226146015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1632226146059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14493844 + ... + 14606024.

It is an arithmetic number, because the mean of its divisors is an integer number (61365797640).

Almost surely, 21632226146054 is an apocalyptic number.

1632226146054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1632226146054 is an abundant number, since it is smaller than the sum of its proper divisors (2295184902906).

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

1632226146054 is a wasteful number, since it uses less digits than its factorization.

1632226146054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130445.

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 1632226146054 in words is "one trillion, six hundred thirty-two billion, two hundred twenty-six million, one hundred forty-six thousand, fifty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 18233 36466 54699 109398 112181 127631 224362 255262 336543 346427 382893 673086 692854 765786 785267 1039281 1570534 2078562 2131439 2355801 2424989 4262878 4711602 4849978 6394317 7274967 12788634 14549934 14920073 29840146 44760219 89520438 2045396173 4090792346 6136188519 12272377038 14317773211 28635546422 38862527287 42953319633 77725054574 85906639266 116587581861 233175163722 272037691009 544075382018 816113073027 1632226146054