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378999065641 = 7231228372
BaseRepresentation
bin1011000001111100001…
…10101100110000101001
31100020021002121100221011
411200332012230300221
522202142230100031
6450035413143521
736244643622100
oct5407606546051
91306232540834
10378999065641
111368071015a9
126155202aba1
132997c78a171
14144b4da9037
159cd2d646b1
hex583e1acc29

378999065641 has 27 divisors (see below), whose sum is σ = 455717687607. Its totient is φ = 314266291920.

The previous prime is 378999065623. The next prime is 378999065677. The reversal of 378999065641 is 146560999873.

The square root of 378999065641 is 615629.

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., 12978905625 + 366020160016 = 113925^2 + 604996^2 .

It is not a de Polignac number, because 378999065641 - 27 = 378999065513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (378999015641) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 133590075 + ... + 133592911.

Almost surely, 2378999065641 is an apocalyptic number.

378999065641 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

378999065641 is the 615629-th square number.

378999065641 is the 307815-th centered octagonal number.

It is an amenable number.

378999065641 is a deficient number, since it is larger than the sum of its proper divisors (76718621966).

378999065641 is an frugal number, since it uses more digits than its factorization.

378999065641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5750 (or 2875 counting only the distinct ones).

The product of its (nonzero) digits is 88179840, while the sum is 67.

The spelling of 378999065641 in words is "three hundred seventy-eight billion, nine hundred ninety-nine million, sixty-five thousand, six hundred forty-one".

Divisors: 1 7 31 49 217 961 1519 2837 6727 19859 47089 87947 139013 615629 2726357 4309403 8048569 19084499 56339983 133591493 249505639 394379881 1746539473 7734674809 12225776311 54142723663 378999065641