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438436316975020 = 225713218530698097
BaseRepresentation
bin110001110110000010110100…
…0111011100000111110101100
32010111101002202202201010111221
41203230011220323200332230
5424431320034121200040
64152250510301153124
7161230656440415550
oct14354055073407654
92114332682633457
10438436316975020
11117776885a15121
124120ba8b55b7a4
1315a844a0c12700
147a3a606801860
1535a4b04c3b74a
hex18ec168ee0fac

438436316975020 has 72 divisors (see below), whose sum is σ = 1139415564649824. Its totient is φ = 138757867342848.

The previous prime is 438436316975017. The next prime is 438436316975021. The reversal of 438436316975020 is 20579613634834.

It is a self number, because there is not a number n which added to its sum of digits gives 438436316975020.

It is not an unprimeable number, because it can be changed into a prime (438436316975021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9265325389 + ... + 9265372708.

It is an arithmetic number, because the mean of its divisors is an integer number (15825216175692).

It is a 1-persistent number, because it is pandigital, but 2⋅438436316975020 = 876872633950040 is not.

Almost surely, 2438436316975020 is an apocalyptic number.

It is an amenable number.

438436316975020 is an abundant number, since it is smaller than the sum of its proper divisors (700979247674804).

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

438436316975020 is a wasteful number, since it uses less digits than its factorization.

438436316975020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18530698139 (or 18530698124 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 61.

The spelling of 438436316975020 in words is "four hundred thirty-eight trillion, four hundred thirty-six billion, three hundred sixteen million, nine hundred seventy-five thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 676 845 910 1183 1690 1820 2366 3380 4732 5915 11830 23660 18530698097 37061396194 74122792388 92653490485 129714886679 185306980970 240899075261 259429773358 370613961940 481798150522 518859546716 648574433395 963596301044 1204495376305 1297148866790 1686293526827 2408990752610 2594297733580 3131687978393 3372587053654 4817981505220 6263375956786 6745174107308 8431467634135 12526751913572 15658439891965 16862935268270 21921815848751 31316879783930 33725870536540 43843631697502 62633759567860 87687263395004 109609079243755 219218158487510 438436316975020