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378909189136 = 241538892
BaseRepresentation
bin1011000001110001011…
…11110110010000010000
31100020000211111011112201
411200320233312100100
522202001223023021
6450022442532544
736242502652342
oct5407057662020
91306024434481
10378909189136
111367703a4aa5
1261527b07154
1329966c7c4ba
14144a7091292
159cca00e591
hex5838bf6410

378909189136 has 15 divisors (see below), whose sum is σ = 734141324541. Its totient is φ = 189453363456.

The previous prime is 378909189107. The next prime is 378909189143. The reversal of 378909189136 is 631981909873.

The square root of 378909189136 is 615556.

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., 376696427536 + 2212761600 = 613756^2 + 47040^2 .

It is a super-2 number, since 2×3789091891362 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 2 ways as a sum of consecutive naturals, for example, 2385280 + ... + 2539168.

Almost surely, 2378909189136 is an apocalyptic number.

378909189136 is the 615556-th square number.

It is an amenable number.

378909189136 is a deficient number, since it is larger than the sum of its proper divisors (355232135405).

378909189136 is an frugal number, since it uses more digits than its factorization.

378909189136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307786 (or 153891 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 64.

Multiplying 378909189136 by its sum of digits (64), we get a square (24250188104704 = 49244482).

The spelling of 378909189136 in words is "three hundred seventy-eight billion, nine hundred nine million, one hundred eighty-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 153889 307778 615556 1231112 2462224 23681824321 47363648642 94727297284 189454594568 378909189136