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126292754140 = 22571947478479
BaseRepresentation
bin111010110011110100…
…0100111111011011100
3110001222120002122100121
41311213220213323130
54032121421113030
6134003524004324
712060436461250
oct1654750477334
9401876078317
10126292754140
1149618a70483
12205872306a4
13bba8b14b27
146180da0260
15344266a47a
hex1d67a27edc

126292754140 has 48 divisors (see below), whose sum is σ = 319055385600. Its totient is φ = 41021404992.

The previous prime is 126292754131. The next prime is 126292754149. The reversal of 126292754140 is 41457292621.

126292754140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (126292754131) and next prime (126292754149).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126292754149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23736580 + ... + 23741899.

It is an arithmetic number, because the mean of its divisors is an integer number (6646987200).

Almost surely, 2126292754140 is an apocalyptic number.

126292754140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126292754140 is an abundant number, since it is smaller than the sum of its proper divisors (192762631460).

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

126292754140 is a wasteful number, since it uses less digits than its factorization.

126292754140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47478514 (or 47478512 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 43.

The spelling of 126292754140 in words is "one hundred twenty-six billion, two hundred ninety-two million, seven hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 47478479 94956958 189913916 237392395 332349353 474784790 664698706 902091101 949569580 1329397412 1661746765 1804182202 3323493530 3608364404 4510455505 6314637707 6646987060 9020911010 12629275414 18041822020 25258550828 31573188535 63146377070 126292754140