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670371993837 = 327133126113963
BaseRepresentation
bin10011100000101010100…
…10001101100011101101
32101002100101011201222100
421300111102031203231
541440410212300322
61231544210205313
766301304633550
oct11602522154355
92332311151870
10670371993837
11239337572097
12a9b0a283839
134b2a618bb50
1424636450697
1512687e5ddac
hex9c1548d8ed

670371993837 has 144 divisors (see below), whose sum is σ = 1251734300544. Its totient is φ = 336562387200.

The previous prime is 670371993829. The next prime is 670371993853. The reversal of 670371993837 is 738399173076.

670371993837 is a `hidden beast` number, since 67 + 0 + 3 + 7 + 199 + 383 + 7 = 666.

It is not a de Polignac number, because 670371993837 - 23 = 670371993829 is a prime.

It is a super-2 number, since 2×6703719938372 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670371993877) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 48003618 + ... + 48017580.

Almost surely, 2670371993837 is an apocalyptic number.

It is an amenable number.

670371993837 is a deficient number, since it is larger than the sum of its proper divisors (581362306707).

670371993837 is a wasteful number, since it uses less digits than its factorization.

670371993837 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112 (or 14078 counting only the distinct ones).

The product of its (nonzero) digits is 36006768, while the sum is 63.

The spelling of 670371993837 in words is "six hundred seventy billion, three hundred seventy-one million, nine hundred ninety-three thousand, eight hundred thirty-seven".

Divisors: 1 3 7 9 13 21 31 39 61 63 91 93 117 183 217 273 279 403 427 549 651 793 819 961 1209 1281 1891 1953 2379 2821 2883 3627 3843 5551 5673 6727 7137 8463 8649 12493 13237 13963 16653 17019 20181 24583 25389 37479 39711 41889 49959 58621 60543 73749 87451 97741 112437 119133 125667 172081 175863 181519 221247 262353 293223 410347 432853 516243 527589 544557 762073 787059 851743 879669 1231041 1270633 1298559 1548729 1633671 2286219 2555229 3029971 3693123 3811899 3895677 5334511 5627089 5962201 6858657 7665687 9089913 11072659 11435697 13418443 16003533 16881267 17886603 26404033 27269739 33217977 39389623 40255329 48010599 50643801 53659809 77508613 79212099 93929101 99653931 118168869 120765987 174439759 184828231 232525839 237636297 281787303 343252429 354506607 523319277 554484693 697577517 818525023 845361909 1029757287 1221078313 1569957831 1663454079 2402767003 2455575069 3089271861 3663234939 5729675161 7208301009 7366725207 10640825299 10989704817 17189025483 21624903027 31922475897 51567076449 74485777093 95767427691 223457331279 670371993837