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10050985224 = 2333740916253
BaseRepresentation
bin10010101110001010…
…11101110100001000
3221221110200221201000
421113011131310020
5131041023011344
64341203255000
7504033651630
oct112705356410
927843627630
1010050985224
114298578a65
121b4607a460
13c4242c147
146b4c356c0
153dc5cea69
hex25715dd08

10050985224 has 128 divisors (see below), whose sum is σ = 31987872000. Its totient is φ = 2864512512.

The previous prime is 10050985223. The next prime is 10050985279. The reversal of 10050985224 is 42258905001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10050985223) 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, 610282 + ... + 626534.

It is an arithmetic number, because the mean of its divisors is an integer number (249905250).

Almost surely, 210050985224 is an apocalyptic number.

10050985224 is a gapful number since it is divisible by the number (14) 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 10050985224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15993936000).

10050985224 is an abundant number, since it is smaller than the sum of its proper divisors (21936886776).

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

10050985224 is a wasteful number, since it uses less digits than its factorization.

10050985224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16684 (or 16674 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 10050985224 in words is "ten billion, fifty million, nine hundred eighty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 409 504 756 818 1227 1512 1636 2454 2863 3272 3681 4908 5726 7362 8589 9816 11043 11452 14724 16253 17178 22086 22904 25767 29448 32506 34356 44172 48759 51534 65012 68712 77301 88344 97518 103068 113771 130024 146277 154602 195036 206136 227542 292554 309204 341313 390072 438831 455084 585108 618408 682626 877662 910168 1023939 1170216 1365252 1755324 2047878 2730504 3071817 3510648 4095756 6143634 6647477 8191512 12287268 13294954 19942431 24574536 26589908 39884862 46532339 53179816 59827293 79769724 93064678 119654586 139597017 159539448 179481879 186129356 239309172 279194034 358963758 372258712 418791051 478618344 558388068 717927516 837582102 1116776136 1256373153 1435855032 1675164204 2512746306 3350328408 5025492612 10050985224