Search a number
-
+
146316543054 = 231110926597649
BaseRepresentation
bin1000100001000100100…
…1010100010001001110
3111222200001101111212020
42020101021110101032
54344124013334204
6151114503151010
713366601044503
oct2102111242116
9458601344766
10146316543054
1157063968460
1224435145466
1310a4a3cb636
1471204b94aa
153c15534bd9
hex221125444e

146316543054 has 64 divisors (see below), whose sum is σ = 322328160000. Its totient is φ = 43909309440.

The previous prime is 146316543049. The next prime is 146316543077. The reversal of 146316543054 is 450345613641.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 146316542997 and 146316543015.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19125022 + ... + 19132670.

It is an arithmetic number, because the mean of its divisors is an integer number (5036377500).

Almost surely, 2146316543054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146316543054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161164080000).

146316543054 is an abundant number, since it is smaller than the sum of its proper divisors (176011616946).

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

146316543054 is a wasteful number, since it uses less digits than its factorization.

146316543054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10433.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 146316543054 in words is "one hundred forty-six billion, three hundred sixteen million, five hundred forty-three thousand, fifty-four".

Divisors: 1 2 3 6 11 22 33 66 109 218 327 654 1199 2398 2659 3597 5318 7194 7649 7977 15298 15954 22947 29249 45894 58498 84139 87747 168278 175494 252417 289831 504834 579662 833741 869493 1667482 1738986 2501223 3188141 5002446 6376282 9171151 9564423 18342302 19128846 20338691 27513453 40677382 55026906 61016073 122032146 223725601 447451202 671176803 1342353606 2216917319 4433834638 6650751957 13301503914 24386090509 48772181018 73158271527 146316543054