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34068047148 = 22331075035861
BaseRepresentation
bin11111101110100111…
…010010010100101100
310020221021001002222000
4133232213102110230
51024232410002043
623352312252300
72314144423422
oct375647222454
9106837032860
1034068047148
11134a2585073
1267293a1090
13329c1204a5
141912833112
15d45d412d3
hex7ee9d252c

34068047148 has 96 divisors (see below), whose sum is σ = 89342507520. Its totient is φ = 11225603520.

The previous prime is 34068047081. The next prime is 34068047171. The reversal of 34068047148 is 84174086043.

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, 5809738 + ... + 5815598.

It is an arithmetic number, because the mean of its divisors is an integer number (930651120).

Almost surely, 234068047148 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 34068047148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44671253760).

34068047148 is an abundant number, since it is smaller than the sum of its proper divisors (55274460372).

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

34068047148 is a wasteful number, since it uses less digits than its factorization.

34068047148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6484 (or 6476 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 34068047148 in words is "thirty-four billion, sixty-eight million, forty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 107 108 214 321 428 503 642 963 1006 1284 1509 1926 2012 2889 3018 3852 4527 5778 5861 6036 9054 11556 11722 13581 17583 18108 23444 27162 35166 52749 53821 54324 70332 105498 107642 158247 161463 210996 215284 316494 322926 484389 627127 632988 645852 968778 1254254 1453167 1881381 1937556 2508508 2906334 2948083 3762762 5644143 5812668 5896166 7525524 8844249 11288286 11792332 16932429 17688498 22576572 26532747 33864858 35376996 53065494 67729716 79598241 106130988 159196482 315444881 318392964 630889762 946334643 1261779524 1892669286 2839003929 3785338572 5678007858 8517011787 11356015716 17034023574 34068047148