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146238672978 = 232191273366917
BaseRepresentation
bin1000100000110010000…
…0010001000001010010
3111222110121212022012100
42020030200101001102
54343444100013403
6151103042141230
713364634132156
oct2101440210122
9458417768170
10146238672978
1157023a11522
1224413051816
1310a37235878
147114009066
153c0d7a22a3
hex220c811052

146238672978 has 48 divisors (see below), whose sum is σ = 336153093120. Its totient is φ = 45816992928.

The previous prime is 146238672961. The next prime is 146238673001. The reversal of 146238672978 is 879276832641.

146238672978 is a `hidden beast` number, since 1 + 462 + 3 + 86 + 7 + 2 + 97 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1640025 + ... + 1726892.

It is an arithmetic number, because the mean of its divisors is an integer number (7003189440).

Almost surely, 2146238672978 is an apocalyptic number.

146238672978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

146238672978 is an abundant number, since it is smaller than the sum of its proper divisors (189914420142).

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

146238672978 is a wasteful number, since it uses less digits than its factorization.

146238672978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3367071 (or 3367068 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 146238672978 in words is "one hundred forty-six billion, two hundred thirty-eight million, six hundred seventy-two thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 127 171 254 342 381 762 1143 2286 2413 4826 7239 14478 21717 43434 3366917 6733834 10100751 20201502 30302253 60604506 63971423 127942846 191914269 383828538 427598459 575742807 855196918 1151485614 1282795377 2565590754 3848386131 7696772262 8124370721 16248741442 24373112163 48746224326 73119336489 146238672978