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146221313525 = 52711367310987
BaseRepresentation
bin1000100000101101111…
…0000010110111110101
3111222102102012100111122
42020023132002313311
54343430124013100
6151101222113325
713364333441420
oct2101336026765
9458372170448
10146221313525
1157015135071
122440927b845
1310a337682c1
1471119aa9b7
153c0bec3985
hex220b782df5

146221313525 has 48 divisors (see below), whose sum is σ = 209379944064. Its totient is φ = 99222036480.

The previous prime is 146221313431. The next prime is 146221313549. The reversal of 146221313525 is 525313122641.

146221313525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146221313525 - 226 = 146154204661 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

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 47 ways as a sum of consecutive naturals, for example, 13303082 + ... + 13314068.

It is an arithmetic number, because the mean of its divisors is an integer number (4362082168).

Almost surely, 2146221313525 is an apocalyptic number.

It is an amenable number.

146221313525 is a deficient number, since it is larger than the sum of its proper divisors (63158630539).

146221313525 is a wasteful number, since it uses less digits than its factorization.

146221313525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11790 (or 11785 counting only the distinct ones).

The product of its digits is 43200, while the sum is 35.

The spelling of 146221313525 in words is "one hundred forty-six billion, two hundred twenty-one million, three hundred thirteen thousand, five hundred twenty-five".

Divisors: 1 5 7 25 35 113 175 565 673 791 2825 3365 3955 4711 10987 16825 19775 23555 54935 76049 76909 117775 274675 380245 384545 532343 1241531 1901225 1922725 2661715 6207655 7394251 8690717 13308575 31038275 36971255 43453585 51759757 184856275 217267925 258798785 835550363 1293993925 4177751815 5848852541 20888759075 29244262705 146221313525