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106460626152 = 23313159337097
BaseRepresentation
bin110001100100110001…
…1000011110011101000
3101011210102110011012210
41203021203003303220
53221012410014102
6120523552405120
710456123251156
oct1431143036350
9334712404183
10106460626152
1141171280161
12187715467a0
13a068155a5a
14521d0d63d6
152b8150e36c
hex18c98c3ce8

106460626152 has 32 divisors (see below), whose sum is σ = 266172580800. Its totient is φ = 35484073344.

The previous prime is 106460626147. The next prime is 106460626159. The reversal of 106460626152 is 251626064601.

It is a super-2 number, since 2×1064606261522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106460626152.

It is not an unprimeable number, because it can be changed into a prime (106460626159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147268 + ... + 484364.

It is an arithmetic number, because the mean of its divisors is an integer number (8317893150).

Almost surely, 2106460626152 is an apocalyptic number.

106460626152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106460626152 is an abundant number, since it is smaller than the sum of its proper divisors (159711954648).

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

106460626152 is a wasteful number, since it uses less digits than its factorization.

106460626152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350265 (or 350261 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 106460626152 in words is "one hundred six billion, four hundred sixty million, six hundred twenty-six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 13159 26318 39477 52636 78954 105272 157908 315816 337097 674194 1011291 1348388 2022582 2696776 4045164 8090328 4435859423 8871718846 13307578269 17743437692 26615156538 35486875384 53230313076 106460626152