Search a number
-
+
379575038997 = 327111075118947
BaseRepresentation
bin1011000011000000110…
…11110111010000010101
31100021202020101211211200
411201200123313100111
522204332202221442
6450212510223113
736265136411520
oct5414033672025
91307666354750
10379575038997
11136a82239940
1261692ab4a99
1329a41bc28bb
141452b699bb7
159d186d834c
hex58606f7415

379575038997 has 48 divisors (see below), whose sum is σ = 689952287232. Its totient is φ = 195338979360.

The previous prime is 379575038993. The next prime is 379575039001. The reversal of 379575038997 is 799830575973.

379575038997 is a `hidden beast` number, since 3 + 7 + 95 + 75 + 0 + 389 + 97 = 666.

It is an interprime number because it is at equal distance from previous prime (379575038993) and next prime (379575039001).

It is not a de Polignac number, because 379575038997 - 22 = 379575038993 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379575038993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2485323 + ... + 2633624.

It is an arithmetic number, because the mean of its divisors is an integer number (14374005984).

Almost surely, 2379575038997 is an apocalyptic number.

It is an amenable number.

379575038997 is a deficient number, since it is larger than the sum of its proper divisors (310377248235).

379575038997 is a wasteful number, since it uses less digits than its factorization.

379575038997 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5119078 (or 5119075 counting only the distinct ones).

The product of its (nonzero) digits is 450084600, while the sum is 72.

The spelling of 379575038997 in words is "three hundred seventy-nine billion, five hundred seventy-five million, thirty-eight thousand, nine hundred ninety-seven".

Divisors: 1 3 7 9 11 21 33 63 77 99 107 231 321 693 749 963 1177 2247 3531 6741 8239 10593 24717 74151 5118947 15356841 35832629 46070523 56308417 107497887 168925251 322493661 394158919 506775753 547727329 1182476757 1643181987 3547430271 3834091303 4929545961 6025000619 11502273909 18075001857 34506821727 42175004333 54225005571 126525012999 379575038997