Search a number
-
+
106816728363 = 323131115110267
BaseRepresentation
bin110001101111011000…
…1011110110100101011
3101012201020112000121120
41203132301132310223
53222230040301423
6121023153110323
710501006132062
oct1433661366453
9335636460546
10106816728363
1141334293004
12188508583a3
13a0c3b67617
1452545111d9
152ba2900ee3
hex18dec5ed2b

106816728363 has 32 divisors (see below), whose sum is σ = 149893742592. Its totient is φ = 67529748000.

The previous prime is 106816728341. The next prime is 106816728377. The reversal of 106816728363 is 363827618601.

It is not a de Polignac number, because 106816728363 - 25 = 106816728331 is a prime.

It is a super-2 number, since 2×1068167283632 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106816728313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10398756 + ... + 10409022.

It is an arithmetic number, because the mean of its divisors is an integer number (4684179456).

Almost surely, 2106816728363 is an apocalyptic number.

106816728363 is a deficient number, since it is larger than the sum of its proper divisors (43077014229).

106816728363 is a wasteful number, since it uses less digits than its factorization.

106816728363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11575.

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 106816728363 in words is "one hundred six billion, eight hundred sixteen million, seven hundred twenty-eight thousand, three hundred sixty-three".

Divisors: 1 3 23 69 131 393 1151 3013 3453 9039 10267 26473 30801 79419 150781 236141 452343 708423 1344977 3467963 4034931 10403889 11817317 30934471 35451951 92803413 271798291 815394873 1548068527 4644205581 35605576121 106816728363