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38381019480 = 23335255113931
BaseRepresentation
bin100011101111101011…
…111110000101011000
310200001211122210202000
4203233223332011120
51112101020110410
625344302241000
72526055165656
oct435753760530
9120054583660
1038381019480
11153060a3011
127531886160
13380883241b
141c01575dd6
15ee97d8dc0
hex8efafe158

38381019480 has 128 divisors (see below), whose sum is σ = 127996070400. Its totient is φ = 10230192000.

The previous prime is 38381019433. The next prime is 38381019497. The reversal of 38381019480 is 8491018383.

38381019480 is a `hidden beast` number, since 3 + 8 + 381 + 0 + 194 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2748115 + ... + 2762045.

It is an arithmetic number, because the mean of its divisors is an integer number (999969300).

Almost surely, 238381019480 is an apocalyptic number.

38381019480 is a gapful number since it is divisible by the number (30) 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 38381019480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63998035200).

38381019480 is an abundant number, since it is smaller than the sum of its proper divisors (89615050920).

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

38381019480 is a wasteful number, since it uses less digits than its factorization.

38381019480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16502 (or 16492 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 38381019480 in words is "thirty-eight billion, three hundred eighty-one million, nineteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 2551 5102 7653 10204 12755 13931 15306 20408 22959 25510 27862 30612 38265 41793 45918 51020 55724 61224 68877 69655 76530 83586 91836 102040 111448 114795 125379 137754 139310 153060 167172 183672 208965 229590 250758 275508 278620 306120 334344 344385 376137 417930 459180 501516 551016 557240 626895 688770 752274 835860 918360 1003032 1253790 1377540 1504548 1671720 1880685 2507580 2755080 3009096 3761370 5015160 7522740 15045480 35537981 71075962 106613943 142151924 177689905 213227886 284303848 319841829 355379810 426455772 533069715 639683658 710759620 852911544 959525487 1066139430 1279367316 1421519240 1599209145 1919050974 2132278860 2558734632 3198418290 3838101948 4264557720 4797627435 6396836580 7676203896 9595254870 12793673160 19190509740 38381019480