Search a number
-
+
379619290116 = 223311417793777
BaseRepresentation
bin1011000011000110001…
…00101010110000000100
31100021212022200000222000
411201203010222300010
522204430014240431
6450221130505300
736266214503523
oct5414304526004
91307768600860
10379619290116
11136aa5213410
12616a5895230
1329a4b1173b1
14145334d84ba
159d1c5299e6
hex586312ac04

379619290116 has 96 divisors (see below), whose sum is σ = 1099857951360. Its totient is φ = 112230374400.

The previous prime is 379619290091. The next prime is 379619290147. The reversal of 379619290116 is 611092916973.

379619290116 is a `hidden beast` number, since 3 + 7 + 9 + 619 + 2 + 9 + 0 + 1 + 16 = 666.

It is a super-2 number, since 2×3796192901162 (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3848181 + ... + 3945596.

It is an arithmetic number, because the mean of its divisors is an integer number (11456853660).

Almost surely, 2379619290116 is an apocalyptic number.

379619290116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

379619290116 is an abundant number, since it is smaller than the sum of its proper divisors (720238661244).

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

379619290116 is a wasteful number, since it uses less digits than its factorization.

379619290116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7793842 (or 7793834 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 379619290116 in words is "three hundred seventy-nine billion, six hundred nineteen million, two hundred ninety thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 82 99 108 123 132 164 198 246 297 369 396 451 492 594 738 902 1107 1188 1353 1476 1804 2214 2706 4059 4428 5412 8118 12177 16236 24354 48708 7793777 15587554 23381331 31175108 46762662 70143993 85731547 93525324 140287986 171463094 210431979 257194641 280575972 319544857 342926188 420863958 514389282 639089714 771583923 841727916 958634571 1028778564 1278179428 1543167846 1917269142 2314751769 2875903713 3086335692 3514993427 3834538284 4629503538 5751807426 7029986854 8627711139 9259007076 10544980281 11503614852 14059973708 17255422278 21089960562 31634940843 34510844556 42179921124 63269881686 94904822529 126539763372 189809645058 379619290116