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406064235133056 = 2734547232561897
BaseRepresentation
bin101110001010100000011001…
…0011111011011100010000000
31222020202100202201112112011010
41130111000302133123202000
5411210424023143224211
63555343200115520520
7151350113201030103
oct13425006237334200
91866670681475133
10406064235133056
11108425969729275
1239661b768b9140
1314576901894c06
14723b88456a73a
1531e29e15384a6
hex17150327db880

406064235133056 has 64 divisors (see below), whose sum is σ = 1078845342346080. Its totient is φ = 135324976539648.

The previous prime is 406064235133019. The next prime is 406064235133079. The reversal of 406064235133056 is 650331532460604.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 406064235132996 and 406064235133014.

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, 114534901 + ... + 118026996.

Almost surely, 2406064235133056 is an apocalyptic number.

It is an amenable number.

406064235133056 is an abundant number, since it is smaller than the sum of its proper divisors (672781107213024).

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

406064235133056 is a wasteful number, since it uses less digits than its factorization.

406064235133056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232566461 (or 232566449 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 48.

The spelling of 406064235133056 in words is "four hundred six trillion, sixty-four billion, two hundred thirty-five million, one hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 4547 9094 13641 18188 27282 36376 54564 72752 109128 145504 218256 291008 436512 582016 873024 1746048 232561897 465123794 697685691 930247588 1395371382 1860495176 2790742764 3720990352 5581485528 7441980704 11162971056 14883961408 22325942112 29767922816 44651884224 89303768448 1057458945659 2114917891318 3172376836977 4229835782636 6344753673954 8459671565272 12689507347908 16919343130544 25379014695816 33838686261088 50758029391632 67677372522176 101516058783264 135354745044352 203032117566528 406064235133056