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10920467650 = 2521729312461
BaseRepresentation
bin10100010101110100…
…10001110011000010
31001012001210020100211
422022322101303002
5134331114431100
65003343304334
7534422305051
oct121272216302
931161706324
1010920467650
1146a4356a84
1221492ab0aa
1310505cc0a1
147584ca398
1543dace1ba
hex28ae91cc2

10920467650 has 144 divisors (see below), whose sum is σ = 23039228520. Its totient is φ = 3833088000.

The previous prime is 10920467639. The next prime is 10920467653. The reversal of 10920467650 is 5676402901.

It can be written as a sum of positive squares in 12 ways, for example, as 1073676289 + 9846791361 = 32767^2 + 99231^2 .

It is a super-2 number, since 2×109204676502 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10920467653) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23688420 + ... + 23688880.

Almost surely, 210920467650 is an apocalyptic number.

10920467650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10920467650 is an abundant number, since it is smaller than the sum of its proper divisors (12118760870).

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

10920467650 is a wasteful number, since it uses less digits than its factorization.

10920467650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The spelling of 10920467650 in words is "ten billion, nine hundred twenty million, four hundred sixty-seven thousand, six hundred fifty".

Divisors: 1 2 5 10 17 25 29 31 34 50 58 62 85 145 155 170 290 310 425 461 493 527 725 775 850 899 922 961 986 1054 1450 1550 1798 1922 2305 2465 2635 4495 4610 4805 4930 5270 7837 8990 9610 11525 12325 13175 13369 14291 15283 15674 16337 22475 23050 24025 24650 26350 26738 27869 28582 30566 32674 39185 44950 48050 55738 66845 71455 76415 78370 81685 133690 139345 142910 152830 163370 195925 227273 242947 278690 334225 357275 382075 391850 408425 414439 443021 454546 473773 485894 668450 696725 714550 764150 816850 828878 886042 947546 1136365 1214735 1393450 2072195 2215105 2272730 2368865 2429470 4144390 4430210 4737730 5681825 6073675 7045463 7531357 10360975 11075525 11363650 11844325 12147350 12847609 14090926 15062714 20721950 22151050 23688650 25695218 35227315 37656785 64238045 70454630 75313570 128476090 176136575 188283925 218409353 321190225 352273150 376567850 436818706 642380450 1092046765 2184093530 5460233825 10920467650