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380663771040 = 25325737764263
BaseRepresentation
bin1011000101000010101…
…01000010111110100000
31100101120010001011102200
411202201111002332200
522214044411133130
6450512521413200
736334126444440
oct5424125027640
91311503034380
10380663771040
11137490858393
126193763a200
1329b86629847
14145d2104120
159d7e095760
hex58a1542fa0

380663771040 has 144 divisors (see below), whose sum is σ = 1484588746368. Its totient is φ = 87008859648.

The previous prime is 380663771011. The next prime is 380663771041. The reversal of 380663771040 is 40177366083.

380663771040 is a `hidden beast` number, since 3 + 8 + 0 + 6 + 637 + 7 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (380663771041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18872052 + ... + 18892211.

It is an arithmetic number, because the mean of its divisors is an integer number (10309644072).

Almost surely, 2380663771040 is an apocalyptic number.

380663771040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

380663771040 is an abundant number, since it is smaller than the sum of its proper divisors (1103924975328).

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

380663771040 is a wasteful number, since it uses less digits than its factorization.

380663771040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37764291 (or 37764280 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 380663771040 in words is "three hundred eighty billion, six hundred sixty-three million, seven hundred seventy-one thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 37764263 75528526 113292789 151057052 188821315 226585578 264349841 302114104 339878367 377642630 453171156 528699682 566463945 604228208 679756734 755285260 793049523 906342312 1057399364 1132927890 1208456416 1321749205 1359513468 1510570520 1586099046 1699391835 1812684624 2114798728 2265855780 2379148569 2643498410 2719026936 3021141040 3172198092 3398783670 3625369248 3965247615 4229597456 4531711560 4758297138 5286996820 5438053872 6042282080 6344396184 6797567340 7930495230 8459194912 9063423120 9516594276 10573993640 10876107744 11895742845 12688792368 13595134680 15860990460 18126846240 19033188552 21147987280 23791485690 25377584736 27190269360 31721980920 38066377104 42295974560 47582971380 54380538720 63443961840 76132754208 95165942760 126887923680 190331885520 380663771040