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38914663840 = 2551329645137
BaseRepresentation
bin100100001111011111…
…101010010110100000
310201110000210202011221
4210033133222112200
51114144123220330
625513244144424
72545225120303
oct441737522640
9121400722157
1038914663840
111555a349a08
127660538114
133892267210
141c523a8b3a
15102b59ab7a
hex90f7ea5a0

38914663840 has 96 divisors (see below), whose sum is σ = 102422108880. Its totient is φ = 13873004544.

The previous prime is 38914663831. The next prime is 38914663871. The reversal of 38914663840 is 4836641983.

38914663840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2916432016 + 35998231824 = 54004^2 + 189732^2 .

It is a super-3 number, since 3×389146638403 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262249 + ... + 382888.

Almost surely, 238914663840 is an apocalyptic number.

It is an amenable number.

38914663840 is an abundant number, since it is smaller than the sum of its proper divisors (63507445040).

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

38914663840 is a wasteful number, since it uses less digits than its factorization.

38914663840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645194 (or 645186 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 52.

The spelling of 38914663840 in words is "thirty-eight billion, nine hundred fourteen million, six hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 208 232 260 290 377 416 464 520 580 754 928 1040 1160 1508 1885 2080 2320 3016 3770 4640 6032 7540 12064 15080 30160 60320 645137 1290274 2580548 3225685 5161096 6451370 8386781 10322192 12902740 16773562 18708973 20644384 25805480 33547124 37417946 41933905 51610960 67094248 74835892 83867810 93544865 103221920 134188496 149671784 167735620 187089730 243216649 268376992 299343568 335471240 374179460 486433298 598687136 670942480 748358920 972866596 1216083245 1341884960 1496717840 1945733192 2432166490 2993435680 3891466384 4864332980 7782932768 9728665960 19457331920 38914663840