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34063100016 = 243111012712357
BaseRepresentation
bin11111101110010100…
…011010100001110000
310020220220201202202220
4133232110122201300
51024230123200031
623352014241040
72314054400331
oct375624324160
9106826652686
1034063100016
111349a806230
1267277b6180
13329b0aa7aa
141911d06288
15d456b5596
hex7ee51a870

34063100016 has 160 divisors (see below), whose sum is σ = 97345483776. Its totient is φ = 10177920000.

The previous prime is 34063099949. The next prime is 34063100021. The reversal of 34063100016 is 61000136043.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14450710 + ... + 14453066.

Almost surely, 234063100016 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 34063100016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48672741888).

34063100016 is an abundant number, since it is smaller than the sum of its proper divisors (63282383760).

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

34063100016 is a wasteful number, since it uses less digits than its factorization.

34063100016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 34063100016 its reverse (61000136043), we get a palindrome (95063236059).

The spelling of 34063100016 in words is "thirty-four billion, sixty-three million, one hundred thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 271 303 404 528 542 606 808 813 1084 1111 1212 1616 1626 2168 2222 2357 2424 2981 3252 3333 4336 4444 4714 4848 5962 6504 6666 7071 8888 8943 9428 11924 13008 13332 14142 17776 17886 18856 23848 25927 26664 27371 28284 35772 37712 47696 51854 53328 54742 56568 71544 77781 82113 103708 109484 113136 143088 155562 164226 207416 218968 238057 301081 311124 328452 414832 437936 476114 602162 622248 638747 656904 714171 903243 952228 1204324 1244496 1277494 1313808 1428342 1806486 1904456 1916241 2408648 2554988 2618627 2856684 3612972 3808912 3832482 4817296 5109976 5237254 5713368 7026217 7225944 7664964 7855881 10219952 10474508 11426736 14052434 14451888 15329928 15711762 20949016 21078651 28104868 30659856 31423524 41898032 42157302 56209736 62847048 64513447 84314604 112419472 125694096 129026894 168629208 193540341 258053788 337258416 387080682 516107576 709647917 774161364 1032215152 1419295834 1548322728 2128943751 2838591668 3096645456 4257887502 5677183336 8515775004 11354366672 17031550008 34063100016