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1679496061893 = 3134343113211759
BaseRepresentation
bin11000011100001001110…
…001000010001111000101
312221120001222010211211220
4120130021301002033011
5210004101442440033
63323314433150553
7232224322660236
oct30341161021705
95846058124756
101679496061893
115982a78193a1
122315b79bb459
13c24b6827410
145b40656708d
152da4a70cbb3
hex18709c423c5

1679496061893 has 64 divisors (see below), whose sum is σ = 2476672450560. Its totient is φ = 1005823526400.

The previous prime is 1679496061891. The next prime is 1679496061931. The reversal of 1679496061893 is 3981606949761.

It is not a de Polignac number, because 1679496061893 - 21 = 1679496061891 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1679496061891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 954800748 + ... + 954802506.

It is an arithmetic number, because the mean of its divisors is an integer number (38698007040).

Almost surely, 21679496061893 is an apocalyptic number.

1679496061893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1679496061893 is a deficient number, since it is larger than the sum of its proper divisors (797176388667).

1679496061893 is a wasteful number, since it uses less digits than its factorization.

1679496061893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3570.

The product of its (nonzero) digits is 105815808, while the sum is 69.

The spelling of 1679496061893 in words is "one trillion, six hundred seventy-nine billion, four hundred ninety-six million, sixty-one thousand, eight hundred ninety-three".

Divisors: 1 3 13 39 43 129 431 559 1293 1321 1677 1759 3963 5277 5603 16809 17173 18533 22867 51519 55599 56803 68601 75637 170409 226911 240929 569351 722787 738439 758129 983281 1708053 2215317 2274387 2323639 2949843 6970917 7401563 9855677 22204689 24482093 29567031 30207307 32599547 73446279 90621921 97798641 99916477 299749431 318267209 423794111 954801627 1001488409 1271382333 1298914201 3004465227 3896742603 13019349317 39058047951 43064001587 129192004761 559832020631 1679496061893