Search a number
-
+
2869854139824 = 2437101241350899
BaseRepresentation
bin101001110000110000101…
…000101111010110110000
3101011100121001212120021120
4221300300220233112300
5334004430124433244
610034220502022240
7414224442461310
oct51606050572660
911140531776246
102869854139824
11a07109932751
123a4244417980
1317a81a678899
149cc8a2dd440
154e9b8bbc819
hex29c30a2f5b0

2869854139824 has 160 divisors (see below), whose sum is σ = 8592322675200. Its totient is φ = 808468992000.

The previous prime is 2869854139741. The next prime is 2869854139829. The reversal of 2869854139824 is 4289314589682.

It is not an unprimeable number, because it can be changed into a prime (2869854139829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8003127 + ... + 8354025.

It is an arithmetic number, because the mean of its divisors is an integer number (53702016720).

Almost surely, 22869854139824 is an apocalyptic number.

2869854139824 is a gapful number since it is divisible by the number (24) 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 2869854139824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4296161337600).

2869854139824 is an abundant number, since it is smaller than the sum of its proper divisors (5722468535376).

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

2869854139824 is a wasteful number, since it uses less digits than its factorization.

2869854139824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351259 (or 351253 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 69.

The spelling of 2869854139824 in words is "two trillion, eight hundred sixty-nine billion, eight hundred fifty-four million, one hundred thirty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 241 303 336 404 482 606 707 723 808 964 1212 1414 1446 1616 1687 1928 2121 2424 2828 2892 3374 3856 4242 4848 5061 5656 5784 6748 8484 10122 11312 11568 13496 16968 20244 24341 26992 33936 40488 48682 73023 80976 97364 146046 170387 194728 292092 340774 350899 389456 511161 584184 681548 701798 1022322 1052697 1168368 1363096 1403596 2044644 2105394 2456293 2726192 2807192 4089288 4210788 4912586 5614384 7368879 8178576 8421576 9825172 14737758 16843152 19650344 29475516 35440799 39300688 58951032 70881598 84566659 106322397 117902064 141763196 169133318 212644794 248085593 253699977 283526392 338266636 425289588 496171186 507399954 567052784 591966613 676533272 744256779 850579176 992342372 1014799908 1183933226 1353066544 1488513558 1701158352 1775899839 1984684744 2029599816 2367866452 2977027116 3551799678 3969369488 4059199632 4735732904 5954054232 7103599356 8541232559 9471465808 11908108464 14207198712 17082465118 25623697677 28414397424 34164930236 51247395354 59788627913 68329860472 102494790708 119577255826 136659720944 179365883739 204989581416 239154511652 358731767478 409979162832 478309023304 717463534956 956618046608 1434927069912 2869854139824