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126626379040 = 2557709159463
BaseRepresentation
bin111010111101110000…
…1010011010100100000
3110002211210212112200101
41311323201103110200
54033312323112130
6134101002432144
712101630314510
oct1657341232440
9402753775611
10126626379040
114977a320837
122065ab02654
13bc2cc86805
1461b3407840
153461abc1ca
hex1d7b853520

126626379040 has 96 divisors (see below), whose sum is σ = 342375586560. Its totient is φ = 43353252864.

The previous prime is 126626379037. The next prime is 126626379079. The reversal of 126626379040 is 40973626621.

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, 714349 + ... + 873811.

It is an arithmetic number, because the mean of its divisors is an integer number (3566412360).

Almost surely, 2126626379040 is an apocalyptic number.

126626379040 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 126626379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171187793280).

126626379040 is an abundant number, since it is smaller than the sum of its proper divisors (215749207520).

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

126626379040 is a wasteful number, since it uses less digits than its factorization.

126626379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160194 (or 160186 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 126626379040 in words is "one hundred twenty-six billion, six hundred twenty-six million, three hundred seventy-nine thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 709 1120 1418 2836 3545 4963 5672 7090 9926 11344 14180 19852 22688 24815 28360 39704 49630 56720 79408 99260 113440 158816 159463 198520 318926 397040 637852 794080 797315 1116241 1275704 1594630 2232482 2551408 3189260 4464964 5102816 5581205 6378520 8929928 11162410 12757040 17859856 22324820 25514080 35719712 44649640 89299280 113059267 178598560 226118534 452237068 565296335 791414869 904474136 1130592670 1582829738 1808948272 2261185340 3165659476 3617896544 3957074345 4522370680 6331318952 7914148690 9044741360 12662637904 15828297380 18089482720 25325275808 31656594760 63313189520 126626379040