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383398732864 = 2672110572
BaseRepresentation
bin1011001010001000101…
…10000110010001000000
31100122121201100121202001
411211010112012101000
522240200033422424
6452044141233344
736461656313200
oct5450426062100
91318551317661
10383398732864
11138664653714
126237b562854
132a201134854
14147b1438400
159e8e234844
hex5944586440

383398732864 has 63 divisors (see below), whose sum is σ = 885100274373. Its totient is φ = 164298882048.

The previous prime is 383398732853. The next prime is 383398732877. The reversal of 383398732864 is 468237893383.

The square root of 383398732864 is 619192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 71802561600 + 311596171264 = 267960^2 + 558208^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 383398732796 and 383398732805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34669224 + ... + 34680280.

Almost surely, 2383398732864 is an apocalyptic number.

383398732864 is the 619192-nd square number.

It is an amenable number.

383398732864 is an abundant number, since it is smaller than the sum of its proper divisors (501701541509).

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

383398732864 is an frugal number, since it uses more digits than its factorization.

383398732864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22140 (or 11066 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 64.

Multiplying 383398732864 by its sum of digits (64), we get a square (24537518903296 = 49535362).

383398732864 divided by its sum of digits (64) gives a square (5990605201 = 773992).

The spelling of 383398732864 in words is "three hundred eighty-three billion, three hundred ninety-eight million, seven hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 11057 22114 44228 77399 88456 154798 176912 309596 353824 541793 619192 707648 1083586 1238384 2167172 2476768 4334344 4953536 8668688 17337376 34674752 122257249 244514498 489028996 855800743 978057992 1711601486 1956115984 3423202972 3912231968 5990605201 6846405944 7824463936 11981210402 13692811888 23962420804 27385623776 47924841608 54771247552 95849683216 191699366432 383398732864