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146151713256 = 233191154320663
BaseRepresentation
bin1000100000011101010…
…0100010100111101000
3111222020120020021212220
42020013110202213220
54343304314311011
6151050254234040
713362530031243
oct2100724424750
9458216207786
10146151713256
1156a8991738a
12243a9ab5920
1310a22209703
14710665025a
153c05d26506
hex22075229e8

146151713256 has 64 divisors (see below), whose sum is σ = 367548088320. Its totient is φ = 48428422080.

The previous prime is 146151713231. The next prime is 146151713263. The reversal of 146151713256 is 652317151641.

It is a super-2 number, since 2×1461517132562 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7062781 + ... + 7083443.

It is an arithmetic number, because the mean of its divisors is an integer number (5742938880).

Almost surely, 2146151713256 is an apocalyptic number.

It is an amenable number.

146151713256 is an abundant number, since it is smaller than the sum of its proper divisors (221396375064).

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

146151713256 is a wasteful number, since it uses less digits than its factorization.

146151713256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22406 (or 22402 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

Adding to 146151713256 its reverse (652317151641), we get a palindrome (798468864897).

The spelling of 146151713256 in words is "one hundred forty-six billion, one hundred fifty-one million, seven hundred thirteen thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 191 382 573 764 1146 1528 1543 2292 3086 4584 4629 6172 9258 12344 18516 20663 37032 41326 61989 82652 123978 165304 247956 294713 495912 589426 884139 1178852 1768278 2357704 3536556 3946633 7073112 7893266 11839899 15786532 23679798 31573064 31883009 47359596 63766018 94719192 95649027 127532036 191298054 255064072 382596108 765192216 6089654719 12179309438 18268964157 24358618876 36537928314 48717237752 73075856628 146151713256