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387869767380 = 22335312747427
BaseRepresentation
bin1011010010011101101…
…01101111011011010100
31101002011022101201002000
411221032311233123110
522323324130024010
6454103535115300
740010526424224
oct5511665573324
91332138351060
10387869767380
1113a549410067
1263208972b30
132a7645091c4
1414ab7164084
15a151a007c0
hex5a4ed6f6d4

387869767380 has 144 divisors (see below), whose sum is σ = 1246889286720. Its totient is φ = 100095289920.

The previous prime is 387869767357. The next prime is 387869767381. The reversal of 387869767380 is 83767968783.

387869767380 is a `hidden beast` number, since 3 + 87 + 86 + 97 + 6 + 7 + 380 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 387869767299 and 387869767308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (387869767381) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 145227 + ... + 892653.

It is an arithmetic number, because the mean of its divisors is an integer number (8658953380).

Almost surely, 2387869767380 is an apocalyptic number.

387869767380 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 387869767380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623444643360).

387869767380 is an abundant number, since it is smaller than the sum of its proper divisors (859019519340).

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

387869767380 is a wasteful number, since it uses less digits than its factorization.

387869767380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747507 (or 747468 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 387869767380 in words is "three hundred eighty-seven billion, eight hundred sixty-nine million, seven hundred sixty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 90 93 108 124 135 155 180 186 270 279 310 372 465 540 558 620 837 930 961 1116 1395 1674 1860 1922 2790 2883 3348 3844 4185 4805 5580 5766 8370 8649 9610 11532 14415 16740 17298 19220 25947 28830 34596 43245 51894 57660 86490 103788 129735 172980 259470 518940 747427 1494854 2242281 2989708 3737135 4484562 6726843 7474270 8969124 11211405 13453686 14948540 20180529 22422810 23170237 26907372 33634215 40361058 44845620 46340474 67268430 69510711 80722116 92680948 100902645 115851185 134536860 139021422 201805290 208532133 231702370 278042844 347553555 403610580 417064266 463404740 625596399 695107110 718277347 834128532 1042660665 1251192798 1390214220 1436554694 2085321330 2154832041 2502385596 2873109388 3127981995 3591386735 4170642660 4309664082 6255963990 6464496123 7182773470 8619328164 10774160205 12511927980 12928992246 14365546940 19393488369 21548320410 25857984492 32322480615 38786976738 43096640820 64644961230 77573953476 96967441845 129289922460 193934883690 387869767380