Search a number
-
+
9898427690040 = 2335295171550063
BaseRepresentation
bin1001000000001010100001…
…0001000010110000111000
31022001021120110000021210110
42100002220101002300320
52244133434442040130
633015135213544320
72041065160063611
oct220025021026070
938037513007713
109898427690040
11317699941a1aa
12113a46b4a50a0
1356a557989776
1426312d344c08
15122732b78ab0
hex900a8442c38

9898427690040 has 128 divisors (see below), whose sum is σ = 30725254886400. Its totient is φ = 2548063203840.

The previous prime is 9898427690009. The next prime is 9898427690057. The reversal of 9898427690040 is 400967248989.

It is a super-2 number, since 2×98984276900402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17720049 + ... + 18270111.

It is an arithmetic number, because the mean of its divisors is an integer number (240041053800).

Almost surely, 29898427690040 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 9898427690040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15362627443200).

9898427690040 is an abundant number, since it is smaller than the sum of its proper divisors (20826827196360).

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

9898427690040 is a wasteful number, since it uses less digits than its factorization.

9898427690040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555277 (or 555273 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 66.

The spelling of 9898427690040 in words is "nine trillion, eight hundred ninety-eight billion, four hundred twenty-seven million, six hundred ninety thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 5171 10342 15513 20684 25855 31026 41368 51710 62052 77565 103420 124104 149959 155130 206840 299918 310260 449877 550063 599836 620520 749795 899754 1100126 1199672 1499590 1650189 1799508 2200252 2249385 2750315 2999180 3300378 3599016 4400504 4498770 5500630 5998360 6600756 8250945 8997540 11001260 13201512 15951827 16501890 17995080 22002520 31903654 33003780 47855481 63807308 66007560 79759135 95710962 127614616 159518270 191421924 239277405 319036540 382843848 478554810 638073080 957109620 1914219240 2844375773 5688751546 8533127319 11377503092 14221878865 17066254638 22755006184 28443757730 34132509276 42665636595 56887515460 68265018552 82486897417 85331273190 113775030920 164973794834 170662546380 247460692251 329947589668 341325092760 412434487085 494921384502 659895179336 824868974170 989842769004 1237303461255 1649737948340 1979685538008 2474606922510 3299475896680 4949213845020 9898427690040