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381727360005040 = 24571125160586259
BaseRepresentation
bin101011011001011011101001…
…1101100011011001110110000
31212001120210001001101200211001
41112302313103230123032300
5400013210113130130130
63431511043412331344
7143255614556443510
oct12662672354331660
91761523031350731
10381727360005040
111006a2734124965
12369913a0613b54
13134cc97412a49a
146a399ba6cd840
152e1e910a5e6ca
hex15b2dd3b1b3b0

381727360005040 has 80 divisors (see below), whose sum is σ = 1014394297109760. Its totient is φ = 130866317280000.

The previous prime is 381727360004983. The next prime is 381727360005049. The reversal of 381727360005040 is 40500063727183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (381727360005049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23992570 + ... + 36593689.

It is an arithmetic number, because the mean of its divisors is an integer number (12679928713872).

Almost surely, 2381727360005040 is an apocalyptic number.

It is an amenable number.

381727360005040 is an abundant number, since it is smaller than the sum of its proper divisors (632666937104720).

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

381727360005040 is a wasteful number, since it uses less digits than its factorization.

381727360005040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60597530 (or 60597524 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 46.

The spelling of 381727360005040 in words is "three hundred eighty-one trillion, seven hundred twenty-seven billion, three hundred sixty million, five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 11251 22502 45004 56255 78757 90008 112510 157514 180016 225020 315028 393785 450040 630056 787570 900080 1260112 1575140 3150280 6300560 60586259 121172518 242345036 302931295 424103813 484690072 605862590 848207626 969380144 1211725180 1696415252 2120519065 2423450360 3392830504 4241038130 4846900720 6785661008 8482076260 16964152520 33928305040 681656000009 1363312000018 2726624000036 3408280000045 4771592000063 5453248000072 6816560000090 9543184000126 10906496000144 13633120000180 19086368000252 23857960000315 27266240000360 38172736000504 47715920000630 54532480000720 76345472001008 95431840001260 190863680002520 381727360005040