Search a number
-
+
938417796920 = 235372087303817
BaseRepresentation
bin11011010011111100000…
…11110011011100111000
310022201012221122101010202
431221332003303130320
5110333334424000140
61555034142101332
7124540603443242
oct15517603633470
93281187571122
10938417796920
11331a8742228a
12131a5627a848
136a652ac7316
14335c37b3092
151962517c915
hexda7e0f3738

938417796920 has 64 divisors (see below), whose sum is σ = 2169552185280. Its totient is φ = 365045861376.

The previous prime is 938417796913. The next prime is 938417796937. The reversal of 938417796920 is 29697714839.

It is a super-2 number, since 2×9384177969202 (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2936852 + ... + 3240668.

It is an arithmetic number, because the mean of its divisors is an integer number (33899252895).

Almost surely, 2938417796920 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 938417796920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084776092640).

938417796920 is an abundant number, since it is smaller than the sum of its proper divisors (1231134388360).

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

938417796920 is a wasteful number, since it uses less digits than its factorization.

938417796920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305952 (or 305948 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 65.

The spelling of 938417796920 in words is "nine hundred thirty-eight billion, four hundred seventeen million, seven hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2087 4174 8348 10435 16696 20870 41740 77219 83480 154438 303817 308876 386095 607634 617752 772190 1215268 1519085 1544380 2430536 3038170 3088760 6076340 11241229 12152680 22482458 44964916 56206145 89929832 112412290 224824580 449649160 634066079 1268132158 2536264316 3170330395 5072528632 6340660790 12681321580 23460444923 25362643160 46920889846 93841779692 117302224615 187683559384 234604449230 469208898460 938417796920