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379035545940 = 22325191093101399
BaseRepresentation
bin1011000010000000100…
…01110111000101010100
31100020100122020202111100
411201000101313011110
522202231044432230
6450043155110100
736245565660462
oct5410021670524
91306318222440
10379035545940
11136825758807
12615622a2330
13299871c093c
14144b9b83832
159cd616d660
hex5840477154

379035545940 has 144 divisors (see below), whose sum is σ = 1211373072000. Its totient is φ = 95667796224.

The previous prime is 379035545939. The next prime is 379035545963. The reversal of 379035545940 is 49545530973.

379035545940 is a `hidden beast` number, since 3 + 7 + 9 + 0 + 3 + 5 + 545 + 94 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3687361 + ... + 3788759.

It is an arithmetic number, because the mean of its divisors is an integer number (8412313000).

Almost surely, 2379035545940 is an apocalyptic number.

379035545940 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 379035545940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605686536000).

379035545940 is an abundant number, since it is smaller than the sum of its proper divisors (832337526060).

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

379035545940 is a wasteful number, since it uses less digits than its factorization.

379035545940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102526 (or 102521 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 379035545940 in words is "three hundred seventy-nine billion, thirty-five million, five hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1093 1140 1710 2186 3279 3420 4372 5465 6558 9837 10930 13116 16395 19674 20767 21860 32790 39348 41534 49185 62301 65580 83068 98370 101399 103835 124602 186903 196740 202798 207670 249204 304197 311505 373806 405596 415340 506995 608394 623010 747612 912591 934515 1013990 1216788 1246020 1520985 1825182 1869030 1926581 2027980 3041970 3650364 3738060 3853162 4562955 5779743 6083940 7706324 9125910 9632905 11559486 17339229 18251820 19265810 23118972 28898715 34678458 38531620 57797430 69356916 86696145 110829107 115594860 173392290 221658214 332487321 346784580 443316428 554145535 664974642 997461963 1108291070 1329949284 1662436605 1994923926 2105753033 2216582140 3324873210 3989847852 4211506066 4987309815 6317259099 6649746420 8423012132 9974619630 10528765165 12634518198 18951777297 19949239260 21057530330 25269036396 31586295495 37903554594 42115060660 63172590990 75807109188 94758886485 126345181980 189517772970 379035545940