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1006405452323 = 19294363376703
BaseRepresentation
bin11101010010100100111…
…00001000001000100011
310120012201010102010011222
432221102130020020203
5112442104243433243
62050200345325255
7132465444125105
oct16512234101043
93505633363158
101006405452323
113588a5706047
1214306b19682b
1373b9936480b
14369d3039575
151b2a3c8d168
hexea52708223

1006405452323 has 32 divisors (see below), whose sum is σ = 1121734732800. Its totient is φ = 898875242496.

The previous prime is 1006405452313. The next prime is 1006405452343. The reversal of 1006405452323 is 3232545046001.

It is a cyclic number.

It is not a de Polignac number, because 1006405452323 - 218 = 1006405190179 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006405452313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150139190 + ... + 150145892.

It is an arithmetic number, because the mean of its divisors is an integer number (35054210400).

Almost surely, 21006405452323 is an apocalyptic number.

1006405452323 is a deficient number, since it is larger than the sum of its proper divisors (115329280477).

1006405452323 is a wasteful number, since it uses less digits than its factorization.

1006405452323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13131.

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 1006405452323 in words is "one trillion, six billion, four hundred five million, four hundred fifty-two thousand, three hundred twenty-three".

Divisors: 1 19 29 43 551 817 1247 6337 6703 23693 120403 127357 183773 194387 272491 288229 3491687 3693353 5177329 5476351 7902239 8358641 42476911 150142541 158814179 807061309 1231830419 1826507173 23404777961 34703636287 52968708017 1006405452323