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10062242064 = 2433717195733
BaseRepresentation
bin10010101111100000…
…11010000100010000
3221222020212212012000
421113300122010100
5131101413221224
64342244434000
7504231434460
oct112760320420
927866785160
1010062242064
1142a3967436
121b499a8900
13c44870ab4
146b6525ba0
153dd5a50c9
hex257c1a110

10062242064 has 160 divisors (see below), whose sum is σ = 34950263040. Its totient is φ = 2705799168.

The previous prime is 10062242063. The next prime is 10062242083. The reversal of 10062242064 is 46024226001.

10062242064 is a `hidden beast` number, since 10 + 0 + 622 + 4 + 20 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10062242063) by changing a digit.

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, 46459 + ... + 149274.

It is an arithmetic number, because the mean of its divisors is an integer number (218439144).

Almost surely, 210062242064 is an apocalyptic number.

10062242064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10062242064 is an abundant number, since it is smaller than the sum of its proper divisors (24888020976).

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

10062242064 is a wasteful number, since it uses less digits than its factorization.

10062242064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195774 (or 195762 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10062242064 its reverse (46024226001), we get a palindrome (56086468065).

The spelling of 10062242064 in words is "ten billion, sixty-two million, two hundred forty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 34 36 42 48 51 54 56 63 68 72 84 102 108 112 119 126 136 144 153 168 189 204 216 238 252 272 306 336 357 378 408 432 459 476 504 612 714 756 816 918 952 1008 1071 1224 1428 1512 1836 1904 2142 2448 2856 3024 3213 3672 4284 5712 6426 7344 8568 12852 17136 25704 51408 195733 391466 587199 782932 1174398 1370131 1565864 1761597 2348796 2740262 3131728 3327461 3523194 4110393 4697592 5284791 5480524 6654922 7046388 8220786 9395184 9982383 10569582 10961048 12331179 13309844 14092776 16441572 19964766 21139164 21922096 23292227 24662358 26619688 28185552 29947149 32883144 36993537 39929532 42278328 46584454 49324716 53239376 59894298 65766288 69876681 73987074 79859064 84556656 89841447 93168908 98649432 119788596 139753362 147974148 159718128 179682894 186337816 197298864 209630043 239577192 279506724 295948296 359365788 372675632 419260086 479154384 559013448 591896592 628890129 718731576 838520172 1118026896 1257780258 1437463152 1677040344 2515560516 3354080688 5031121032 10062242064