Search a number
-
+
9890645424 = 24311173313329
BaseRepresentation
bin10010011011000011…
…10100010110110000
3221112021222211211220
421031201310112300
5130224001123144
64313234505040
7500046045642
oct111541642660
927467884756
109890645424
114216014330
121b00435180
13c1814cb1a
1469b818892
153cd4ab919
hex24d8745b0

9890645424 has 160 divisors (see below), whose sum is σ = 29611319040. Its totient is φ = 2811494400.

The previous prime is 9890645419. The next prime is 9890645507. The reversal of 9890645424 is 4245460989.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 2969392 + ... + 2972720.

It is an arithmetic number, because the mean of its divisors is an integer number (185070744).

Almost surely, 29890645424 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 9890645424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805659520).

9890645424 is an abundant number, since it is smaller than the sum of its proper divisors (19720673616).

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

9890645424 is a wasteful number, since it uses less digits than its factorization.

9890645424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3699 (or 3693 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The square root of 9890645424 is about 99451.7240876195. The cubic root of 9890645424 is about 2146.5526455048.

The spelling of 9890645424 in words is "nine billion, eight hundred ninety million, six hundred forty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 331 374 408 528 561 662 748 816 993 1122 1324 1496 1986 2244 2648 2992 3329 3641 3972 4488 5296 5627 6658 7282 7944 8976 9987 10923 11254 13316 14564 15888 16881 19974 21846 22508 26632 29128 33762 36619 39948 43692 45016 53264 56593 58256 61897 67524 73238 79896 87384 90032 109857 113186 123794 135048 146476 159792 169779 174768 185691 219714 226372 247588 270096 292952 339558 371382 439428 452744 495176 585904 622523 679116 742764 878856 905488 990352 1101899 1245046 1358232 1485528 1757712 1867569 2203798 2490092 2716464 2971056 3305697 3735138 4407596 4980184 6611394 7470276 8815192 9960368 12120889 13222788 14940552 17630384 18732283 24241778 26445576 29881104 36362667 37464566 48483556 52891152 56196849 72725334 74929132 96967112 112393698 145450668 149858264 193934224 206055113 224787396 290901336 299716528 412110226 449574792 581802672 618165339 824220452 899149584 1236330678 1648440904 2472661356 3296881808 4945322712 9890645424