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49164643152 = 24321492291417
BaseRepresentation
bin101101110010011100…
…001110101101010000
311200220100221122110100
4231302130032231100
51301142122040102
634330320532400
73360226400022
oct556234165520
9150810848410
1049164643152
111993a183099
129641181100
13483698a831
142545800012
15142b386a1c
hexb7270eb50

49164643152 has 60 divisors (see below), whose sum is σ = 138516218100. Its totient is φ = 16278219264.

The previous prime is 49164643141. The next prime is 49164643153. The reversal of 49164643152 is 25134646194.

49164643152 is a `hidden beast` number, since 4 + 9 + 164 + 6 + 431 + 52 = 666.

49164643152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 26783286336 + 22381356816 = 163656^2 + 149604^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 49164643098 and 49164643107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49164643153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1124253 + ... + 1167164.

It is an arithmetic number, because the mean of its divisors is an integer number (2308603635).

Almost surely, 249164643152 is an apocalyptic number.

It is an amenable number.

49164643152 is an abundant number, since it is smaller than the sum of its proper divisors (89351574948).

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

49164643152 is a wasteful number, since it uses less digits than its factorization.

49164643152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291580 (or 2291571 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 49164643152 in words is "forty-nine billion, one hundred sixty-four million, six hundred forty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 894 1192 1341 1788 2384 2682 3576 5364 7152 10728 21456 2291417 4582834 6874251 9165668 13748502 18331336 20622753 27497004 36662672 41245506 54994008 82491012 109988016 164982024 329964048 341421133 682842266 1024263399 1365684532 2048526798 2731369064 3072790197 4097053596 5462738128 6145580394 8194107192 12291160788 16388214384 24582321576 49164643152