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34036501312 = 26111727710267
BaseRepresentation
bin11111101100101110…
…111100101101000000
310020212001200102012201
4133230232330231000
51024201321020222
623345224202544
72313312326152
oct375456745500
9106761612181
1034036501312
1113486799230
12671a909454
133295726a08
14190c580ad2
15d431ae427
hex7ecbbcb40

34036501312 has 112 divisors (see below), whose sum is σ = 78304753728. Its totient is φ = 14507089920.

The previous prime is 34036501283. The next prime is 34036501319. The reversal of 34036501312 is 21310563043.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34036501319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3310003 + ... + 3320269.

Almost surely, 234036501312 is an apocalyptic number.

34036501312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34036501312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39152376864).

34036501312 is an abundant number, since it is smaller than the sum of its proper divisors (44268252416).

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

34036501312 is a wasteful number, since it uses less digits than its factorization.

34036501312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10584 (or 10574 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The spelling of 34036501312 in words is "thirty-four billion, thirty-six million, five hundred one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 277 352 374 544 554 704 748 1088 1108 1496 2216 2992 3047 4432 4709 5984 6094 8864 9418 10267 11968 12188 17728 18836 20534 24376 37672 41068 48752 51799 75344 82136 97504 103598 112937 150688 164272 174539 195008 207196 225874 301376 328544 349078 414392 451748 657088 698156 828784 903496 1396312 1657568 1806992 1919929 2792624 2843959 3315136 3613984 3839858 5585248 5687918 7227968 7679716 11170496 11375836 15359432 22751672 30718864 31283549 45503344 48347303 61437728 62567098 91006688 96694606 122875456 125134196 182013376 193389212 250268392 386778424 500536784 531820333 773556848 1001073568 1063640666 1547113696 2002147136 2127281332 3094227392 4254562664 8509125328 17018250656 34036501312