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34986007524 = 22313217996377
BaseRepresentation
bin100000100101010101…
…000001101111100100
310100022020100022212110
4200211111001233210
51033122404220044
624023343321020
72345662104636
oct404525015744
9110266308773
1034986007524
1113923764306
1269448b0170
1333b7364b00
14199c706a56
15d9b7196b9
hex825541be4

34986007524 has 72 divisors (see below), whose sum is σ = 88891356960. Its totient is φ = 10704675072.

The previous prime is 34986007513. The next prime is 34986007543. The reversal of 34986007524 is 42570068943.

It is a super-2 number, since 2×349860075242 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 314824 + ... + 411200.

It is an arithmetic number, because the mean of its divisors is an integer number (1234602180).

Almost surely, 234986007524 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 34986007524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44445678480).

34986007524 is an abundant number, since it is smaller than the sum of its proper divisors (53905349436).

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

34986007524 is a wasteful number, since it uses less digits than its factorization.

34986007524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96589 (or 96574 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 34986007524 in words is "thirty-four billion, nine hundred eighty-six million, seven thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 179 338 358 507 537 676 716 1014 1074 2028 2148 2327 4654 6981 9308 13962 27924 30251 60502 90753 96377 121004 181506 192754 289131 363012 385508 578262 1156524 1252901 2505802 3758703 5011604 7517406 15034812 16287713 17251483 32575426 34502966 48863139 51754449 65150852 69005932 97726278 103508898 195452556 207017796 224269279 448538558 672807837 897077116 1345615674 2691231348 2915500627 5831001254 8746501881 11662002508 17493003762 34986007524