Search a number
-
+
10607018231304 = 233211116311515649
BaseRepresentation
bin1001101001011010001110…
…0011011100011000001000
31101120000120100010101202100
42122112203203130120020
52342241133131400204
634320444044233400
72143221541233135
oct232264343343010
941500510111670
1010607018231304
11341a4582a3680
121233864b3b860
135bc311b03001
1428954d51758c
15135da5ecba39
hex9a5a38dc608

10607018231304 has 96 divisors (see below), whose sum is σ = 31365866844000. Its totient is φ = 3211483914240.

The previous prime is 10607018231297. The next prime is 10607018231371. The reversal of 10607018231304 is 40313281070601.

It is a happy number.

10607018231304 is a `hidden beast` number, since 1 + 0 + 607 + 0 + 18 + 2 + 3 + 1 + 30 + 4 = 666.

It is a super-2 number, since 2×106070182313042 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4836729 + ... + 6678920.

It is an arithmetic number, because the mean of its divisors is an integer number (326727779625).

Almost surely, 210607018231304 is an apocalyptic number.

It is an amenable number.

10607018231304 is an abundant number, since it is smaller than the sum of its proper divisors (20758848612696).

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

10607018231304 is a wasteful number, since it uses less digits than its factorization.

10607018231304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11516835 (or 11516828 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 10607018231304 in words is "ten trillion, six hundred seven billion, eighteen million, two hundred thirty-one thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1163 2326 3489 4652 6978 9304 10467 12793 13956 20934 25586 27912 38379 41868 51172 76758 83736 102344 115137 153516 230274 307032 460548 921096 11515649 23031298 34546947 46062596 69093894 92125192 103640841 126672139 138187788 207281682 253344278 276375576 380016417 414563364 506688556 760032834 829126728 1013377112 1140049251 1520065668 2280098502 3040131336 4560197004 9120394008 13392699787 26785399574 40178099361 53570799148 80356198722 107141598296 120534298083 147319697657 160712397444 241068596166 294639395314 321424794888 441959092971 482137192332 589278790628 883918185942 964274384664 1178557581256 1325877278913 1767836371884 2651754557826 3535672743768 5303509115652 10607018231304