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1004656662104 = 2317292935411607
BaseRepresentation
bin11101001111010100011…
…01000001011001011000
310120001012020202100222212
432213222031001121120
5112430014101141404
62045311034534252
7132404220504254
oct16475215013130
93501166670885
101004656662104
11358088549077
12142861597388
137397ac646c4
14368a8a93264
151b20049d06e
hexe9ea341658

1004656662104 has 128 divisors (see below), whose sum is σ = 2075475830400. Its totient is φ = 453795471360.

The previous prime is 1004656662089. The next prime is 1004656662137. The reversal of 1004656662104 is 4012666564001.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 625174469 + ... + 625176075.

It is an arithmetic number, because the mean of its divisors is an integer number (16214654925).

Almost surely, 21004656662104 is an apocalyptic number.

It is an amenable number.

1004656662104 is an abundant number, since it is smaller than the sum of its proper divisors (1070819168296).

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

1004656662104 is a wasteful number, since it uses less digits than its factorization.

1004656662104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2493 (or 2489 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 1004656662104 in words is "one trillion, four billion, six hundred fifty-six million, six hundred sixty-two thousand, one hundred four".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 232 293 493 541 586 986 1082 1172 1607 1972 2164 2344 3214 3944 4328 4981 6428 8497 9197 9962 12856 15689 16994 18394 19924 27319 31378 33988 36788 39848 46603 54638 62756 67976 73576 93206 109276 125512 144449 158513 186412 218552 266713 288898 317026 372824 470851 533426 577796 634052 792251 869387 941702 1066852 1155592 1268104 1584502 1738774 1883404 2133704 2694721 3169004 3477548 3766808 4596877 5389442 6338008 6955096 8004467 9193754 10778884 13654679 14779579 16008934 18387508 21557768 25212223 27309358 29559158 32017868 36775016 50424446 54618716 59118316 64035736 78146909 100848892 109237432 118236632 156293818 201697784 232129543 254730391 312587636 428607791 464259086 509460782 625175272 857215582 928518172 1018921564 1714431164 1857036344 2037843128 3428862328 4330416647 7387181339 8660833294 14774362678 17321666588 29548725356 34643333176 59097450712 125582082763 251164165526 502328331052 1004656662104