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146551256430 = 23535913607359
BaseRepresentation
bin1000100001111100100…
…0101011010101101110
3112000021102001012002020
42020133020223111232
54400114110201210
6151154050011010
713405451061165
oct2103710532556
9460242035066
10146551256430
1157174400057
122449b876a66
1310a86c1b0a7
1471437363dc
153c2ae49770
hex221f22b56e

146551256430 has 32 divisors (see below), whose sum is σ = 352702771200. Its totient is φ = 38971473312.

The previous prime is 146551256417. The next prime is 146551256447. The reversal of 146551256430 is 34652155641.

146551256430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1465512564302 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6792910 + ... + 6814449.

It is an arithmetic number, because the mean of its divisors is an integer number (11021961600).

Almost surely, 2146551256430 is an apocalyptic number.

146551256430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146551256430 is an abundant number, since it is smaller than the sum of its proper divisors (206151514770).

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

146551256430 is a wasteful number, since it uses less digits than its factorization.

146551256430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13607728.

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 146551256430 in words is "one hundred forty-six billion, five hundred fifty-one million, two hundred fifty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 359 718 1077 1795 2154 3590 5385 10770 13607359 27214718 40822077 68036795 81644154 136073590 204110385 408220770 4885041881 9770083762 14655125643 24425209405 29310251286 48850418810 73275628215 146551256430