Search a number
-
+
41793113376 = 253376910237
BaseRepresentation
bin100110111011000100…
…000100110100100000
310222212122010010122000
4212323010010310200
51141043014112001
631111031244000
73006446413410
oct467304046440
9128778103560
1041793113376
11167a7139723
128124519600
133c30700bb1
1420467b0640
15114912ea86
hex9bb104d20

41793113376 has 96 divisors (see below), whose sum is σ = 139310398080. Its totient is φ = 11940887808.

The previous prime is 41793113371. The next prime is 41793113381. The reversal of 41793113376 is 67331139714.

41793113376 is a `hidden beast` number, since 417 + 9 + 31 + 133 + 76 = 666.

It is an interprime number because it is at equal distance from previous prime (41793113371) and next prime (41793113381).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (41793113371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3449071 + ... + 3461166.

It is an arithmetic number, because the mean of its divisors is an integer number (1451149980).

Almost surely, 241793113376 is an apocalyptic number.

It is an amenable number.

41793113376 is an abundant number, since it is smaller than the sum of its proper divisors (97517284704).

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

41793113376 is a wasteful number, since it uses less digits than its factorization.

41793113376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6910263 (or 6910249 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The spelling of 41793113376 in words is "forty-one billion, seven hundred ninety-three million, one hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 6910237 13820474 20730711 27640948 41461422 48371659 55281896 62192133 82922844 96743318 110563792 124384266 145114977 165845688 186576399 193486636 221127584 248768532 290229954 331691376 373152798 386973272 435344931 497537064 580459908 663382752 746305596 773946544 870689862 995074128 1160919816 1306034793 1492611192 1547893088 1741379724 1990148256 2321839632 2612069586 2985222384 3482759448 4643679264 5224139172 5970444768 6965518896 10448278344 13931037792 20896556688 41793113376