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1000698071094 = 2371013137237
BaseRepresentation
bin11101000111111100100…
…00001100100000110110
310112122222100222010000000
432203332100030200312
5112343412201233334
62043414144332130
7132204142154511
oct16437620144066
93478870863000
101000698071094
11356436a78057
12141b37914046
1373499ab0c67
143661103bd78
151b06cba7299
hexe8fe40c836

1000698071094 has 128 divisors (see below), whose sum is σ = 2281095653760. Its totient is φ = 329162745600.

The previous prime is 1000698071083. The next prime is 1000698071183. The reversal of 1000698071094 is 4901708960001.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 138271644 + ... + 138278880.

It is an arithmetic number, because the mean of its divisors is an integer number (17821059795).

Almost surely, 21000698071094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000698071094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140547826880).

1000698071094 is an abundant number, since it is smaller than the sum of its proper divisors (1280397582666).

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

1000698071094 is an equidigital number, since it uses as much as digits as its factorization.

1000698071094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7674 (or 7656 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1000698071094 in words is "one trillion, six hundred ninety-eight million, seventy-one thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 54 81 101 162 202 243 303 313 486 606 626 729 909 939 1458 1818 1878 2187 2727 2817 4374 5454 5634 7237 8181 8451 14474 16362 16902 21711 24543 25353 31613 43422 49086 50706 63226 65133 73629 76059 94839 130266 147258 152118 189678 195399 220887 228177 284517 390798 441774 456354 569034 586197 684531 730937 853551 1172394 1369062 1461874 1707102 1758591 2192811 2265181 2560653 3517182 4385622 4530362 5121306 5275773 6578433 6795543 7681959 10551546 13156866 13591086 15363918 15827319 19735299 20386629 23045877 31654638 39470598 40773258 46091754 59205897 61159887 69137631 118411794 122319774 138275262 177617691 183479661 228783281 355235382 366959322 457566562 532853073 550438983 686349843 1065706146 1100877966 1372699686 1598559219 1651316949 2059049529 3197118438 3302633898 4118099058 4953950847 6177148587 9907901694 12354297174 18531445761 37062891522 55594337283 111188674566 166783011849 333566023698 500349035547 1000698071094