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34519697016 = 23372313964271
BaseRepresentation
bin100000001001100010…
…001100011001111000
310022002201220022002220
4200021202030121320
51031144020301031
623505204524040
72331300404040
oct401142143170
9108081808086
1034519697016
1113704518322
1268346b0620
13334187712c
141956800720
15d70808596
hex80988c678

34519697016 has 128 divisors (see below), whose sum is σ = 103657881600. Its totient is φ = 9365938560.

The previous prime is 34519697011. The next prime is 34519697029. The reversal of 34519697016 is 61079691543.

It is a self number, because there is not a number n which added to its sum of digits gives 34519697016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34519697011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 504961 + ... + 569231.

It is an arithmetic number, because the mean of its divisors is an integer number (809827200).

Almost surely, 234519697016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34519697016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51828940800).

34519697016 is an abundant number, since it is smaller than the sum of its proper divisors (69138184584).

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

34519697016 is a wasteful number, since it uses less digits than its factorization.

34519697016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64449 (or 64445 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 51.

The spelling of 34519697016 in words is "thirty-four billion, five hundred nineteen million, six hundred ninety-seven thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 139 161 168 184 276 278 322 417 483 552 556 644 834 966 973 1112 1288 1668 1932 1946 2919 3197 3336 3864 3892 5838 6394 7784 9591 11676 12788 19182 22379 23352 25576 38364 44758 64271 67137 76728 89516 128542 134274 179032 192813 257084 268548 385626 449897 514168 537096 771252 899794 1349691 1478233 1542504 1799588 2699382 2956466 3599176 4434699 5398764 5912932 8869398 8933669 10347631 10797528 11825864 17738796 17867338 20695262 26801007 31042893 35477592 35734676 41390524 53602014 62085786 62535683 71469352 82781048 107204028 124171572 125071366 187607049 205474387 214408056 248343144 250142732 375214098 410948774 500285464 616423161 750428196 821897548 1232846322 1438320709 1500856392 1643795096 2465692644 2876641418 4314962127 4931385288 5753282836 8629924254 11506565672 17259848508 34519697016