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126448765400 = 23523735348407
BaseRepresentation
bin111010111000011101…
…1110000100111011000
3110002101102122211120102
41311300323300213120
54032431340443100
6134031215514532
712064342525466
oct1656073604730
9402342584512
10126448765400
1149699039001
122060b528a48
13bc02239b99
1461979b1836
1534511d5cd5
hex1d70ef09d8

126448765400 has 96 divisors (see below), whose sum is σ = 302800753440. Its totient is φ = 49072066560.

The previous prime is 126448765369. The next prime is 126448765427. The reversal of 126448765400 is 4567844621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2587997 + ... + 2636403.

It is an arithmetic number, because the mean of its divisors is an integer number (3154174515).

Almost surely, 2126448765400 is an apocalyptic number.

126448765400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126448765400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151400376720).

126448765400 is an abundant number, since it is smaller than the sum of its proper divisors (176351988040).

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

126448765400 is a wasteful number, since it uses less digits than its factorization.

126448765400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48813 (or 48804 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 47.

The spelling of 126448765400 in words is "one hundred twenty-six billion, four hundred forty-eight million, seven hundred sixty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 353 370 706 740 925 1412 1480 1765 1850 2824 3530 3700 7060 7400 8825 13061 14120 17650 26122 35300 48407 52244 65305 70600 96814 104488 130610 193628 242035 261220 326525 387256 484070 522440 653050 968140 1210175 1306100 1791059 1936280 2420350 2612200 3582118 4840700 7164236 8955295 9681400 14328472 17087671 17910590 34175342 35821180 44776475 68350684 71642360 85438355 89552950 136701368 170876710 179105900 341753420 358211800 427191775 632243827 683506840 854383550 1264487654 1708767100 2528975308 3161219135 3417534200 5057950616 6322438270 12644876540 15806095675 25289753080 31612191350 63224382700 126448765400