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146120479953 = 3721132976863
BaseRepresentation
bin1000100000010101110…
…1011001010011010001
3111222011101110110211220
42020011131121103101
54343223320324303
6151043220555253
713362000405120
oct2100535312321
9458141413756
10146120479953
1156a73224338
122439b552b29
1310a188c2276
14710243dab7
153c03207053
hex22057594d1

146120479953 has 16 divisors (see below), whose sum is σ = 223715045376. Its totient is φ = 83101692240.

The previous prime is 146120479943. The next prime is 146120479969. The reversal of 146120479953 is 359974021641.

It is a happy number.

It is not a de Polignac number, because 146120479953 - 210 = 146120478929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 146120479896 and 146120479905.

It is not an unprimeable number, because it can be changed into a prime (146120479903) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16484001 + ... + 16492862.

It is an arithmetic number, because the mean of its divisors is an integer number (13982190336).

Almost surely, 2146120479953 is an apocalyptic number.

It is an amenable number.

146120479953 is a deficient number, since it is larger than the sum of its proper divisors (77594565423).

146120479953 is a wasteful number, since it uses less digits than its factorization.

146120479953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32977084.

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 146120479953 in words is "one hundred forty-six billion, one hundred twenty million, four hundred seventy-nine thousand, nine hundred fifty-three".

Divisors: 1 3 7 21 211 633 1477 4431 32976863 98930589 230838041 692514123 6958118093 20874354279 48706826651 146120479953