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1064262234204 = 22321313917419397
BaseRepresentation
bin11110111110010101111…
…10001111000001011100
310202202001021011011101100
433133022332033001130
5114414102112443304
62132525413113100
7136614260505351
oct17371276170134
93682037134340
101064262234204
11380395316664
12152317328790
1379489a815b0
1439720dd2628
151ca3d28d439
hexf7caf8f05c

1064262234204 has 144 divisors (see below), whose sum is σ = 2919987921760. Its totient is φ = 324888122880.

The previous prime is 1064262234193. The next prime is 1064262234221. The reversal of 1064262234204 is 4024322624601.

1064262234204 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 2 + 6 + 223 + 420 + 4 = 666.

It is a super-2 number, since 2×10642622342042 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113250834 + ... + 113260230.

Almost surely, 21064262234204 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 1064262234204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459993960880).

1064262234204 is an abundant number, since it is smaller than the sum of its proper divisors (1855725687556).

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

1064262234204 is a wasteful number, since it uses less digits than its factorization.

1064262234204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11300 (or 11295 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 1064262234204 its reverse (4024322624601), we get a palindrome (5088584858805).

It can be divided in two parts, 1064262 and 234204, that added together give a triangular number (1298466 = T1611).

The spelling of 1064262234204 in words is "one trillion, sixty-four billion, two hundred sixty-two million, two hundred thirty-four thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 139 156 234 278 417 468 556 834 1251 1668 1741 1807 2502 3482 3614 5004 5223 5421 6964 7228 9397 10446 10842 15669 16263 18794 20892 21684 22633 28191 31338 32526 37588 45266 56382 62676 65052 67899 84573 90532 112764 122161 135798 169146 203697 241999 244322 271596 338292 366483 407394 483998 488644 725997 732966 814788 967996 1099449 1306183 1451994 1465932 2177991 2198898 2612366 2903988 3145987 3918549 4355982 4397796 5224732 6291974 7837098 8711964 9437961 11755647 12583948 15674196 16360177 16980379 18875922 23511294 28313883 32720354 33960758 37751844 47022588 49080531 50941137 56627766 65440708 67921516 98161062 101882274 113255532 147241593 152823411 196322124 203764548 212682301 294483186 305646822 425364602 588966372 611293644 638046903 850729204 1276093806 1914140709 2274064603 2552187612 3828281418 4548129206 6822193809 7656562836 9096258412 13644387618 20466581427 27288775236 29562839839 40933162854 59125679678 81866325708 88688519517 118251359356 177377039034 266065558551 354754078068 532131117102 1064262234204