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126950064528 = 24372943330089
BaseRepresentation
bin111011000111011010…
…0000100000110010000
3110010200100221110200210
41312032310010012100
54034443204031103
6134153044244120
712112640513130
oct1661664040620
9403610843623
10126950064528
1149926002501
122072b3a0640
13bc820583a1
1462043c4ac0
153480208e03
hex1d8ed04190

126950064528 has 160 divisors (see below), whose sum is σ = 388637625600. Its totient is φ = 34938667008.

The previous prime is 126950064497. The next prime is 126950064533. The reversal of 126950064528 is 825460059621.

It is a super-2 number, since 2×1269500645282 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4204108 + ... + 4234196.

It is an arithmetic number, because the mean of its divisors is an integer number (2428985160).

Almost surely, 2126950064528 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 126950064528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194318812800).

126950064528 is an abundant number, since it is smaller than the sum of its proper divisors (261687561072).

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

126950064528 is a wasteful number, since it uses less digits than its factorization.

126950064528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30569 (or 30563 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The spelling of 126950064528 in words is "one hundred twenty-six billion, nine hundred fifty million, sixty-four thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 433 464 609 696 812 866 1218 1299 1392 1624 1732 2436 2598 3031 3248 3464 4872 5196 6062 6928 9093 9744 10392 12124 12557 18186 20784 24248 25114 30089 36372 37671 48496 50228 60178 72744 75342 87899 90267 100456 120356 145488 150684 175798 180534 200912 210623 240712 263697 301368 351596 361068 421246 481424 527394 602736 631869 703192 722136 842492 872581 1054788 1263738 1406384 1444272 1684984 1745162 2109576 2527476 2617743 3369968 3490324 4219152 5054952 5235486 6108067 6980648 10109904 10470972 12216134 13028537 13961296 18324201 20941944 24432268 26057074 36648402 39085611 41883888 48864536 52114148 73296804 78171222 91199759 97729072 104228296 146593608 156342444 182399518 208456592 273599277 293187216 312684888 364799036 377827573 547198554 625369776 729598072 755655146 1094397108 1133482719 1459196144 1511310292 2188794216 2266965438 2644793011 3022620584 4377588432 4533930876 5289586022 6045241168 7934379033 9067861752 10579172044 15868758066 18135723504 21158344088 31737516132 42316688176 63475032264 126950064528