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126872557728 = 25372265710151
BaseRepresentation
bin111011000101000110…
…0011001100010100000
3110010110222002201100120
41312022030121202200
54034313333321403
6134141235120240
712111006642600
oct1661214314240
9403428081316
10126872557728
11498962844a4
1220709443080
13bc6bc8ba87
1461d7daac00
1534784e8e53
hex1d8a3198a0

126872557728 has 144 divisors (see below), whose sum is σ = 387598405824. Its totient is φ = 36232089600.

The previous prime is 126872557723. The next prime is 126872557811. The reversal of 126872557728 is 827755278621.

It is not an unprimeable number, because it can be changed into a prime (126872557723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12493453 + ... + 12503603.

It is an arithmetic number, because the mean of its divisors is an integer number (2691655596).

Almost surely, 2126872557728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126872557728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193799202912).

126872557728 is an abundant number, since it is smaller than the sum of its proper divisors (260725848096).

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

126872557728 is a wasteful number, since it uses less digits than its factorization.

126872557728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12835 (or 12820 counting only the distinct ones).

The product of its digits is 26342400, while the sum is 60.

The spelling of 126872557728 in words is "one hundred twenty-six billion, eight hundred seventy-two million, five hundred fifty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 2657 4704 5314 7971 10151 10628 15942 18599 20302 21256 30453 31884 37198 40604 42512 55797 60906 63768 71057 74396 81208 85024 111594 121812 127536 130193 142114 148792 162416 213171 223188 243624 255072 260386 284228 297584 324832 390579 426342 446376 487248 497399 520772 568456 595168 781158 852684 892752 974496 994798 1041544 1136912 1492197 1562316 1705368 1785504 1989596 2083088 2273824 2984394 3124632 3410736 3979192 4166176 5968788 6249264 6821472 7958384 11937576 12498528 15916768 23875152 26971207 47750304 53942414 80913621 107884828 161827242 188798449 215769656 323654484 377596898 431539312 566395347 647308968 755193796 863078624 1132790694 1294617936 1321589143 1510387592 2265581388 2589235872 2643178286 3020775184 3964767429 4531162776 5286356572 6041550368 7929534858 9062325552 10572713144 15859069716 18124651104 21145426288 31718139432 42290852576 63436278864 126872557728