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1429915649900 = 225279307589583
BaseRepresentation
bin10100110011101101100…
…111010100011101101100
312001200212021120021021012
4110303231213110131230
5141411431401244100
63012521050524352
7205210433324153
oct24635547243554
95050767507235
101429915649900
115014731198a1
121b1163a366b8
13a4ac067786a
144d2cb77859a
15272de676135
hex14ced9d476c

1429915649900 has 72 divisors (see below), whose sum is σ = 3152434897920. Its totient is φ = 562885727040.

The previous prime is 1429915649893. The next prime is 1429915649917. The reversal of 1429915649900 is 99465199241.

It is a self number, because there is not a number n which added to its sum of digits gives 1429915649900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2130509 + ... + 2720091.

Almost surely, 21429915649900 is an apocalyptic number.

1429915649900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1429915649900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576217448960).

1429915649900 is an abundant number, since it is smaller than the sum of its proper divisors (1722519248020).

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

1429915649900 is a wasteful number, since it uses less digits than its factorization.

1429915649900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589983 (or 589976 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 59.

The spelling of 1429915649900 in words is "one trillion, four hundred twenty-nine billion, nine hundred fifteen million, six hundred forty-nine thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 79 100 158 307 316 395 614 790 1228 1535 1580 1975 3070 3950 6140 7675 7900 15350 24253 30700 48506 97012 121265 242530 485060 589583 606325 1179166 1212650 2358332 2425300 2947915 5895830 11791660 14739575 29479150 46577057 58958300 93154114 181001981 186308228 232885285 362003962 465770570 724007924 905009905 931541140 1164426425 1810019810 2328852850 3620039620 4525049525 4657705700 9050099050 14299156499 18100198100 28598312998 57196625996 71495782495 142991564990 285983129980 357478912475 714957824950 1429915649900