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106456505214 = 2359461652331
BaseRepresentation
bin110001100100101001…
…1010101101101111110
3101011210010200210100110
41203021103111231332
53221010331131324
6120523324210450
710456043235603
oct1431123255576
9334703623313
10106456505214
1141169a16024
1218770099a26
13a067342127
14521c7426aa
152b80e98329
hex18c94d5b7e

106456505214 has 32 divisors (see below), whose sum is σ = 216991716480. Its totient is φ = 34808328800.

The previous prime is 106456505189. The next prime is 106456505231. The reversal of 106456505214 is 412505654601.

It is a super-2 number, since 2×1064565052142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162972 + ... + 489359.

It is an arithmetic number, because the mean of its divisors is an integer number (6780991140).

Almost surely, 2106456505214 is an apocalyptic number.

106456505214 is an abundant number, since it is smaller than the sum of its proper divisors (110535211266).

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

106456505214 is a wasteful number, since it uses less digits than its factorization.

106456505214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652856.

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 106456505214 in words is "one hundred six billion, four hundred fifty-six million, five hundred five thousand, two hundred fourteen".

Divisors: 1 2 3 6 59 118 177 354 461 922 1383 2766 27199 54398 81597 163194 652331 1304662 1956993 3913986 38487529 76975058 115462587 230925174 300724591 601449182 902173773 1804347546 17742750869 35485501738 53228252607 106456505214