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38314899700 = 225271110334817
BaseRepresentation
bin100011101011101111…
…101111100011110100
310122220020020120110021
4203223233233203310
51111432103242300
625333541134524
72524323162640
oct435357574364
9118806216407
1038314899700
1115281842270
1275136ba444
1337c7c21aac
141bd6883c20
15ee3ac7d1a
hex8ebbef8f4

38314899700 has 144 divisors (see below), whose sum is σ = 103781107584. Its totient is φ = 11928268800.

The previous prime is 38314899683. The next prime is 38314899823. The reversal of 38314899700 is 799841383.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 7951692 + ... + 7956508.

It is an arithmetic number, because the mean of its divisors is an integer number (720702136).

Almost surely, 238314899700 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38314899700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51890553792).

38314899700 is an abundant number, since it is smaller than the sum of its proper divisors (65466207884).

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

38314899700 is a wasteful number, since it uses less digits than its factorization.

38314899700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882 (or 5875 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The spelling of 38314899700 in words is "thirty-eight billion, three hundred fourteen million, eight hundred ninety-nine thousand, seven hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1033 1100 1540 1925 2066 3850 4132 4817 5165 7231 7700 9634 10330 11363 14462 19268 20660 22726 24085 25825 28924 33719 36155 45452 48170 51650 52987 56815 67438 72310 79541 96340 103300 105974 113630 120425 134876 144620 159082 168595 180775 211948 227260 240850 264935 284075 318164 337190 361550 370909 397705 481700 529870 568150 674380 723100 741818 795410 842975 1059740 1136300 1324675 1483636 1590820 1685950 1854545 1988525 2649350 3371900 3709090 3977050 4975961 5298700 7418180 7954100 9272725 9951922 18545450 19903844 24879805 34831727 37090900 49759610 54735571 69663454 99519220 109471142 124399025 139326908 174158635 218942284 248798050 273677855 348317270 383148997 497596100 547355710 696634540 766297994 870793175 1094711420 1368389275 1532595988 1741586350 1915744985 2736778550 3483172700 3831489970 5473557100 7662979940 9578724925 19157449850 38314899700