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125720532080 = 245111317536269
BaseRepresentation
bin111010100010110000…
…1110001010001110000
3110000111200100202020222
41311011201301101300
54024433424011310
6133431043152212
712040320614333
oct1650541612160
9400450322228
10125720532080
1149354a65590
1220447675668
13bb173c39b0
146128da861a
15340c2d8055
hex1d45871470

125720532080 has 160 divisors (see below), whose sum is σ = 343652379840. Its totient is φ = 42169098240.

The previous prime is 125720532079. The next prime is 125720532107. The reversal of 125720532080 is 80235027521.

It is a self number, because there is not a number n which added to its sum of digits gives 125720532080.

It is a congruent number.

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, 20051186 + ... + 20057454.

It is an arithmetic number, because the mean of its divisors is an integer number (2147827374).

Almost surely, 2125720532080 is an apocalyptic number.

125720532080 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 125720532080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171826189920).

125720532080 is an abundant number, since it is smaller than the sum of its proper divisors (217931847760).

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

125720532080 is a wasteful number, since it uses less digits than its factorization.

125720532080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8059 (or 8053 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The spelling of 125720532080 in words is "one hundred twenty-five billion, seven hundred twenty million, five hundred thirty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 1753 2288 2860 3506 5720 6269 7012 8765 11440 12538 14024 17530 19283 22789 25076 28048 31345 35060 38566 45578 50152 62690 68959 70120 77132 81497 91156 96415 100304 113945 125380 137918 140240 154264 162994 182312 192830 227890 250679 250760 275836 308528 325988 344795 364624 385660 407485 455780 501358 501520 551672 651976 689590 771320 814970 896467 911560 1002716 1103344 1253395 1303952 1379180 1542640 1629940 1792934 1823120 2005432 2506790 2758360 3259880 3585868 4010864 4482335 5013580 5516720 6519760 7171736 8964670 10027160 10989557 14343472 17929340 20054320 21979114 35858680 43958228 54947785 71717360 87916456 109895570 120885127 142864241 175832912 219791140 241770254 285728482 439582280 483540508 571456964 604425635 714321205 879164560 967081016 1142913928 1208851270 1428642410 1571506651 1934162032 2285827856 2417702540 2857284820 3143013302 4835405080 5714569640 6286026604 7857533255 9670810160 11429139280 12572053208 15715066510 25144106416 31430133020 62860266040 125720532080