Search a number
-
+
106713738784 = 2517296764309
BaseRepresentation
bin110001101100010100…
…0100110111000100000
3101012110001201121110201
41203120220212320200
53222022204120114
6121005033434544
710465315545652
oct1433050467040
9335401647421
10106713738784
114129113a454
121882226ba54
13a0a8718143
1452449826d2
152b9885a874
hex18d8a26e20

106713738784 has 48 divisors (see below), whose sum is σ = 230121826200. Its totient is φ = 48486559744.

The previous prime is 106713738749. The next prime is 106713738787. The reversal of 106713738784 is 487837317601.

It can be written as a sum of positive squares in 4 ways, for example, as 94600535184 + 12113203600 = 307572^2 + 110060^2 .

It is a super-2 number, since 2×1067137387842 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106713738787) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3366379 + ... + 3397930.

Almost surely, 2106713738784 is an apocalyptic number.

It is an amenable number.

106713738784 is an abundant number, since it is smaller than the sum of its proper divisors (123408087416).

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

106713738784 is a wasteful number, since it uses less digits than its factorization.

106713738784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764365 (or 6764357 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 55.

The spelling of 106713738784 in words is "one hundred six billion, seven hundred thirteen million, seven hundred thirty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 136 232 272 464 493 544 928 986 1972 3944 7888 15776 6764309 13528618 27057236 54114472 108228944 114993253 196164961 216457888 229986506 392329922 459973012 784659844 919946024 1569319688 1839892048 3138639376 3334804337 3679784096 6277278752 6669608674 13339217348 26678434696 53356869392 106713738784