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116432121465 = 33511431823383
BaseRepresentation
bin110110001101111100…
…1010010111001111001
3102010112100120121021000
41230123321102321321
53401423110341330
6125253240235213
711261203463112
oct1543371227171
9363470517230
10116432121465
1145418996180
121a694a6bb09
13ac96c72a3a
1458c7559209
153066b3b560
hex1b1be52e79

116432121465 has 64 divisors (see below), whose sum is σ = 231059220480. Its totient is φ = 55139071680.

The previous prime is 116432121461. The next prime is 116432121499. The reversal of 116432121465 is 564121234611.

116432121465 is a `hidden beast` number, since 1 + 1 + 6 + 432 + 1 + 214 + 6 + 5 = 666.

It is not a de Polignac number, because 116432121465 - 22 = 116432121461 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116432121461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 847837 + ... + 975546.

It is an arithmetic number, because the mean of its divisors is an integer number (3610300320).

Almost surely, 2116432121465 is an apocalyptic number.

116432121465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116432121465 is a deficient number, since it is larger than the sum of its proper divisors (114627099015).

116432121465 is a wasteful number, since it uses less digits than its factorization.

116432121465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1823451 (or 1823445 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 116432121465 in words is "one hundred sixteen billion, four hundred thirty-two million, one hundred twenty-one thousand, four hundred sixty-five".

Divisors: 1 3 5 9 11 15 27 33 43 45 55 99 129 135 165 215 297 387 473 495 645 1161 1419 1485 1935 2365 4257 5805 7095 12771 21285 63855 1823383 5470149 9116915 16410447 20057213 27350745 49231341 60171639 78405469 82052235 100286065 180514917 235216407 246156705 300858195 392027345 541544751 705649221 862460159 902574585 1176082035 2116947663 2587380477 2707723755 3528246105 4312300795 7762141431 10584738315 12936902385 23286424293 38810707155 116432121465