Search a number
-
+
10016009524458 = 23272619106117291
BaseRepresentation
bin1001000111000000100010…
…1100001001010011101010
31022110112001220222100201200
42101300020230021103222
52303100241414240313
633145142524425030
72052430024143600
oct221601054112352
938415056870650
1010016009524458
113211847294773
1211592053a8176
13578675b97a12
14268ac545d870
151258156bab73
hex91c08b094ea

10016009524458 has 144 divisors (see below), whose sum is σ = 25310509979040. Its totient is φ = 2854235966400.

The previous prime is 10016009524429. The next prime is 10016009524481. The reversal of 10016009524458 is 85442590061001.

10016009524458 is a `hidden beast` number, since 10 + 0 + 1 + 60 + 0 + 9 + 524 + 4 + 58 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 579252793 + ... + 579270083.

It is an arithmetic number, because the mean of its divisors is an integer number (175767430410).

Almost surely, 210016009524458 is an apocalyptic number.

10016009524458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10016009524458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12655254989520).

10016009524458 is an abundant number, since it is smaller than the sum of its proper divisors (15294500454582).

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

10016009524458 is a wasteful number, since it uses less digits than its factorization.

10016009524458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18993 (or 18983 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

Adding to 10016009524458 its reverse (85442590061001), we get a palindrome (95458599585459).

The spelling of 10016009524458 in words is "ten trillion, sixteen billion, nine million, five hundred twenty-four thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 619 882 1061 1238 1857 2122 3183 3714 4333 5571 6366 7427 8666 9549 11142 12999 14854 17291 19098 22281 25998 30331 34582 38997 44562 51873 51989 60662 66843 77994 90993 103746 103978 121037 133686 155619 155967 181986 242074 272979 311238 311934 363111 467901 545958 656759 726222 847259 935802 1089333 1313518 1694518 1970277 2178666 2541777 3940554 4597313 5083554 5910831 7625331 9194626 10703129 11821662 13791939 15250662 18345751 21406258 27583878 32109387 32181191 36691502 41375817 55037253 64218774 64362382 74921903 82751634 96328161 96543573 110074506 128420257 149843806 165111759 192656322 193087146 224765709 256840514 289630719 330223518 385260771 449531418 524453321 579261438 674297127 770521542 898941799 1048906642 1155782313 1348594254 1573359963 1797883598 2311564626 2696825397 3146719926 4720079889 5393650794 8090476191 9440159778 11356019869 16180952382 22712039738 34068059607 68136119214 79492139083 102204178821 158984278166 204408357642 238476417249 476952834498 556444973581 715429251747 1112889947162 1430858503494 1669334920743 3338669841486 5008004762229 10016009524458