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146154516680 = 23529125995273
BaseRepresentation
bin1000100000011101111…
…1001111000011001000
3111222020202111201110102
42020013133033003020
54343311024013210
6151050434304532
713362562615424
oct2100737170310
9458222451412
10146154516680
1156a90461667
12243aaa28148
1310a2297b743
147106b7db84
153c061cbea5
hex22077cf0c8

146154516680 has 32 divisors (see below), whose sum is σ = 340187239800. Its totient is φ = 56445881856.

The previous prime is 146154516679. The next prime is 146154516713. The reversal of 146154516680 is 86615451641.

It can be written as a sum of positive squares in 4 ways, for example, as 94269877156 + 51884639524 = 307034^2 + 227782^2 .

It is a super-2 number, since 2×1461545166802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 62996477 + ... + 62998796.

Almost surely, 2146154516680 is an apocalyptic number.

146154516680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146154516680 is an abundant number, since it is smaller than the sum of its proper divisors (194032723120).

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

146154516680 is a wasteful number, since it uses less digits than its factorization.

146154516680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125995313 (or 125995309 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 47.

The spelling of 146154516680 in words is "one hundred forty-six billion, one hundred fifty-four million, five hundred sixteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 125995273 251990546 503981092 629976365 1007962184 1259952730 2519905460 3653862917 5039810920 7307725834 14615451668 18269314585 29230903336 36538629170 73077258340 146154516680