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396523446676416 = 263476489862399
BaseRepresentation
bin101101000101000101100111…
…1001011110010101111000000
31220222222021022202211200220000
41122022023033023302233000
5403433120004322121131
63523200205011520000
7146343605441153013
oct13212131713625700
91828867282750800
10396523446676416
11105387716338554
1238580a97bb9000
1314034001364217
146dcbba149137a
1530c97413e9ce6
hex168a2cf2f2bc0

396523446676416 has 70 divisors (see below), whose sum is σ = 1175419715500800. Its totient is φ = 132174482223744.

The previous prime is 396523446676397. The next prime is 396523446676439. The reversal of 396523446676416 is 614676644325693.

396523446676416 is a `hidden beast` number, since 3 + 9 + 6 + 52 + 3 + 4 + 466 + 76 + 41 + 6 = 666.

It is a super-2 number, since 2×3965234466764162 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 38244926016 + ... + 38244936383.

It is an arithmetic number, because the mean of its divisors is an integer number (16791710221440).

Almost surely, 2396523446676416 is an apocalyptic number.

396523446676416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

396523446676416 is an abundant number, since it is smaller than the sum of its proper divisors (778896268824384).

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

396523446676416 is an equidigital number, since it uses as much as digits as its factorization.

396523446676416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76489862423 (or 76489862404 counting only the distinct ones).

The product of its digits is 2821754880, while the sum is 72.

The spelling of 396523446676416 in words is "three hundred ninety-six trillion, five hundred twenty-three billion, four hundred forty-six million, six hundred seventy-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 76489862399 152979724798 229469587197 305959449596 458939174394 611918899192 688408761591 917878348788 1223837798384 1376817523182 1835756697576 2065226284773 2447675596768 2753635046364 3671513395152 4130452569546 4895351193536 5507270092728 6195678854319 7343026790304 8260905139092 11014540185456 12391357708638 14686053580608 16521810278184 22029080370912 24782715417276 33043620556368 44058160741824 49565430834552 66087241112736 99130861669104 132174482225472 198261723338208 396523446676416