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381415019664 = 243710710609007
BaseRepresentation
bin1011000110011100001…
…10110101010010010000
31100110111110122112210210
411203032012311102100
522222114221112124
6451115235324120
736361551113610
oct5431606652220
91313443575723
10381415019664
11137836920618
1261b07150640
1329c76170763
1414663bbca40
159dc4edca29
hex58ce1b5490

381415019664 has 80 divisors (see below), whose sum is σ = 1136606681088. Its totient is φ = 107957245056.

The previous prime is 381415019651. The next prime is 381415019669. The reversal of 381415019664 is 466910514183.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (381415019669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5268552 + ... + 5340455.

Almost surely, 2381415019664 is an apocalyptic number.

It is an amenable number.

381415019664 is an abundant number, since it is smaller than the sum of its proper divisors (755191661424).

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

381415019664 is a wasteful number, since it uses less digits than its factorization.

381415019664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10609132 (or 10609126 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 381415019664 in words is "three hundred eighty-one billion, four hundred fifteen million, nineteen thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 642 749 856 1284 1498 1712 2247 2568 2996 4494 5136 5992 8988 11984 17976 35952 10609007 21218014 31827021 42436028 63654042 74263049 84872056 127308084 148526098 169744112 222789147 254616168 297052196 445578294 509232336 594104392 891156588 1135163749 1188208784 1782313176 2270327498 3405491247 3564626352 4540654996 6810982494 7946146243 9081309992 13621964988 15892292486 18162619984 23838438729 27243929976 31784584972 47676877458 54487859952 63569169944 95353754916 127138339888 190707509832 381415019664