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380097646632 = 233311179410221
BaseRepresentation
bin1011000011111111001…
…01011101000000101000
31100100002122210001202000
411201333211131000220
522211414444143012
6450340415411000
736314113455114
oct5417745350050
91310078701660
10380097646632
11137220237780
12617b9b23a60
1329ac6261ca2
141457ac58744
159d49519ddc
hex587f95d028

380097646632 has 128 divisors (see below), whose sum is σ = 1219564771200. Its totient is φ = 108405734400.

The previous prime is 380097646631. The next prime is 380097646661. The reversal of 380097646632 is 236646790083.

380097646632 is a `hidden beast` number, since 3 + 80 + 0 + 9 + 76 + 466 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (380097646631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4664719 + ... + 4745502.

It is an arithmetic number, because the mean of its divisors is an integer number (9527849775).

Almost surely, 2380097646632 is an apocalyptic number.

It is an amenable number.

380097646632 is an abundant number, since it is smaller than the sum of its proper divisors (839467124568).

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

380097646632 is a wasteful number, since it uses less digits than its factorization.

380097646632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9410264 (or 9410254 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 380097646632 in words is "three hundred eighty billion, ninety-seven million, six hundred forty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 374 396 408 459 561 594 612 748 792 918 1122 1188 1224 1496 1683 1836 2244 2376 3366 3672 4488 5049 6732 10098 13464 20196 40392 9410221 18820442 28230663 37640884 56461326 75281768 84691989 103512431 112922652 159973757 169383978 207024862 225845304 254075967 310537293 319947514 338767956 414049724 479921271 508151934 621074586 639895028 677535912 828099448 931611879 959842542 1016303868 1242149172 1279790056 1439763813 1759711327 1863223758 1919685084 2032607736 2484298344 2794835637 2879527626 3519422654 3726447516 3839370168 4319291439 5279133981 5589671274 5759055252 7038845308 7452895032 8638582878 10558267962 11179342548 11518110504 14077690616 15837401943 17277165756 21116535924 22358685096 31674803886 34554331512 42233071848 47512205829 63349607772 95024411658 126699215544 190048823316 380097646632