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38982085500 = 22353213712161
BaseRepresentation
bin100100010011100000…
…110110101101111100
310201121201200010022110
4210103200312231330
51114313403214000
625524053214020
72550004155021
oct442340665574
9121551603273
1038982085500
1115594409896
12767b031310
1338a32122a7
141c5b319548
151032467850
hex913836b7c

38982085500 has 96 divisors (see below), whose sum is σ = 113578291008. Its totient is φ = 10389504000.

The previous prime is 38982085489. The next prime is 38982085507. The reversal of 38982085500 is 558028983.

38982085500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×389820855003 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38982085500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38982085507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3199420 + ... + 3211580.

It is an arithmetic number, because the mean of its divisors is an integer number (1183107198).

Almost surely, 238982085500 is an apocalyptic number.

38982085500 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 38982085500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56789145504).

38982085500 is an abundant number, since it is smaller than the sum of its proper divisors (74596205508).

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

38982085500 is a wasteful number, since it uses less digits than its factorization.

38982085500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14320 (or 14308 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 38982085500 in words is "thirty-eight billion, nine hundred eighty-two million, eighty-five thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 2137 4274 6411 8548 10685 12161 12822 21370 24322 25644 32055 36483 42740 48644 53425 60805 64110 72966 106850 121610 128220 145932 160275 182415 213700 243220 267125 304025 320550 364830 534250 608050 641100 729660 801375 912075 1068500 1216100 1520125 1602750 1824150 3040250 3205500 3648300 4560375 6080500 9120750 18241500 25988057 51976114 77964171 103952228 129940285 155928342 259880570 311856684 389820855 519761140 649701425 779641710 1299402850 1559283420 1949104275 2598805700 3248507125 3898208550 6497014250 7796417100 9745521375 12994028500 19491042750 38982085500