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146221535616 = 2731329291173
BaseRepresentation
bin1000100000101101111…
…0111001000110000000
3111222102102121122011020
42020023132321012000
54343430203114431
6151101230545440
713364335355052
oct2101336710600
9458372548136
10146221535616
1157015276a12
1224409368280
1310a33815410
147111a278d2
153c0c019696
hex220b7b9180

146221535616 has 64 divisors (see below), whose sum is σ = 418277964720. Its totient is φ = 44991240192.

The previous prime is 146221535569. The next prime is 146221535639. The reversal of 146221535616 is 616535122641.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14640595 + ... + 14650578.

Almost surely, 2146221535616 is an apocalyptic number.

146221535616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146221535616 is an abundant number, since it is smaller than the sum of its proper divisors (272056429104).

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

146221535616 is a wasteful number, since it uses less digits than its factorization.

146221535616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29291203 (or 29291191 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 146221535616 in words is "one hundred forty-six billion, two hundred twenty-one million, five hundred thirty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 29291173 58582346 87873519 117164692 175747038 234329384 351494076 380785249 468658768 702988152 761570498 937317536 1142355747 1405976304 1523140996 1874635072 2284711494 2811952608 3046281992 3749270144 4569422988 5623905216 6092563984 9138845976 11247810432 12185127968 18277691952 24370255936 36555383904 48740511872 73110767808 146221535616