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146020051452 = 2231129161923561
BaseRepresentation
bin1000011111111101111…
…0010010100111111100
3111221220101111011211210
42013333132102213330
54343022113121302
6151025232244420
713356340646502
oct2077736224774
9457811434753
10146020051452
1156a2156a980
12243719a0710
1310a00b5b712
1470d2d7a672
153be94ba66c
hex21ff7929fc

146020051452 has 96 divisors (see below), whose sum is σ = 384758035200. Its totient is φ = 42694489600.

The previous prime is 146020051403. The next prime is 146020051469. The reversal of 146020051452 is 254150020641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6185752 + ... + 6209312.

It is an arithmetic number, because the mean of its divisors is an integer number (4007896200).

Almost surely, 2146020051452 is an apocalyptic number.

146020051452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146020051452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192379017600).

146020051452 is an abundant number, since it is smaller than the sum of its proper divisors (238737983748).

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

146020051452 is a wasteful number, since it uses less digits than its factorization.

146020051452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25227 (or 25225 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 146020051452 in words is "one hundred forty-six billion, twenty million, fifty-one thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1619 1914 3238 3828 4857 6476 9714 17809 19428 23561 35618 46951 47122 53427 70683 71236 93902 94244 106854 140853 141366 187804 213708 259171 281706 282732 516461 518342 563412 683269 777513 1032922 1036684 1366538 1549383 1555026 2049807 2065844 2733076 3098766 3110052 4099614 6197532 7515959 8199228 15031918 22547877 30063836 38145259 45095754 76290518 90191508 114435777 152581036 228871554 419597849 457743108 839195698 1106212511 1258793547 1678391396 2212425022 2517587094 3318637533 4424850044 5035174188 6637275066 12168337621 13274550132 24336675242 36505012863 48673350484 73010025726 146020051452