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38844500436 = 22327449343307
BaseRepresentation
bin100100001011010100…
…000000100111010100
310201021010210002002100
4210023110000213110
51114023143003221
625502300242100
72543413543260
oct441324004724
9121233702070
1038844500436
1115523787125
127640b40330
13388086c201
141c46d430a0
15102533b926
hex90b5009d4

38844500436 has 72 divisors (see below), whose sum is σ = 112467700800. Its totient is φ = 11073678336.

The previous prime is 38844500419. The next prime is 38844500447. The reversal of 38844500436 is 63400544883.

38844500436 is a `hidden beast` number, since 38 + 84 + 4 + 500 + 4 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 38844500391 and 38844500400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58506 + ... + 284801.

It is an arithmetic number, because the mean of its divisors is an integer number (1562051400).

Almost surely, 238844500436 is an apocalyptic number.

38844500436 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38844500436 is an abundant number, since it is smaller than the sum of its proper divisors (73623200364).

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

38844500436 is a wasteful number, since it uses less digits than its factorization.

38844500436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343773 (or 343768 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 38844500436 in words is "thirty-eight billion, eight hundred forty-four million, five hundred thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 449 898 1347 1796 2694 3143 4041 5388 6286 8082 9429 12572 16164 18858 28287 37716 56574 113148 343307 686614 1029921 1373228 2059842 2403149 3089763 4119684 4806298 6179526 7209447 9612596 12359052 14418894 21628341 28837788 43256682 86513364 154144843 308289686 462434529 616579372 924869058 1079013901 1387303587 1849738116 2158027802 2774607174 3237041703 4316055604 5549214348 6474083406 9711125109 12948166812 19422250218 38844500436