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985450936120 = 235713935970529
BaseRepresentation
bin11100101011100010111…
…00111111011100111000
310111012121202210101212021
432111301130333130320
5112121200414423440
62032413201324224
7131124251515120
oct16256134773470
93435552711767
10985450936120
1134aa223a9962
1213aba1636674
1371c09cb65c1
14359a6085c80
151a97932784a
hexe57173f738

985450936120 has 128 divisors (see below), whose sum is σ = 2559392640000. Its totient is φ = 334499069952.

The previous prime is 985450936081. The next prime is 985450936121. The reversal of 985450936120 is 21639054589.

It is a super-2 number, since 2×9854509361202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985450936121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13937016 + ... + 14007544.

It is an arithmetic number, because the mean of its divisors is an integer number (19995255000).

Almost surely, 2985450936120 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 985450936120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279696320000).

985450936120 is an abundant number, since it is smaller than the sum of its proper divisors (1573941703880).

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

985450936120 is a wasteful number, since it uses less digits than its factorization.

985450936120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71045 (or 71041 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 52.

The spelling of 985450936120 in words is "nine hundred eighty-five billion, four hundred fifty million, nine hundred thirty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 139 140 278 280 359 556 695 718 973 1112 1390 1436 1795 1946 2513 2780 2872 3590 3892 4865 5026 5560 7180 7784 9730 10052 12565 14360 19460 20104 25130 38920 49901 50260 70529 99802 100520 141058 199604 249505 282116 349307 352645 399208 493703 499010 564232 698614 705290 987406 998020 1397228 1410580 1746535 1974812 1996040 2468515 2794456 2821160 3493070 3949624 4937030 6986140 9803531 9874060 13972280 19607062 19748120 25319911 39214124 49017655 50639822 68624717 78428248 98035310 101279644 126599555 137249434 177239377 196070620 202559288 253199110 274498868 343123585 354478754 392141240 506398220 548997736 686247170 708957508 886196885 1012796440 1372494340 1417915016 1772393770 2744988680 3519467629 3544787540 7038935258 7089575080 14077870516 17597338145 24636273403 28155741032 35194676290 49272546806 70389352580 98545093612 123181367015 140778705160 197090187224 246362734030 492725468060 985450936120