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3344713291556 = 2271328182339733
BaseRepresentation
bin110000101011000000011…
…100101001011100100100
3102211202021211010212012122
4300223000130221130210
5414244433100312211
611040312353405112
7463435053614150
oct60530034513444
912752254125178
103344713291556
11107a53750279a
12460289869798
131b3536046980
14b7c56594060
155c00c5aa6db
hex30ac0729724

3344713291556 has 96 divisors (see below), whose sum is σ = 7238601527808. Its totient is φ = 1316839265280.

The previous prime is 3344713291489. The next prime is 3344713291567. The reversal of 3344713291556 is 6551923174433.

It is a super-2 number, since 2×33447132915562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3344713291498 and 3344713291507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84159866 + ... + 84199598.

It is an arithmetic number, because the mean of its divisors is an integer number (75402099248).

Almost surely, 23344713291556 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 3344713291556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619300763904).

3344713291556 is an abundant number, since it is smaller than the sum of its proper divisors (3893888236252).

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

3344713291556 is a wasteful number, since it uses less digits than its factorization.

3344713291556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40861 (or 40859 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 53.

The spelling of 3344713291556 in words is "three trillion, three hundred forty-four billion, seven hundred thirteen million, two hundred ninety-one thousand, five hundred fifty-six".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 281 364 562 823 1124 1646 1967 3292 3653 3934 5761 7306 7868 10699 11522 14612 21398 23044 25571 39733 42796 51142 74893 79466 102284 149786 158932 231263 278131 299572 462526 516529 556262 925052 1033058 1112524 1618841 2066116 3006419 3237682 3615703 6012838 6475364 7231406 11164973 12025676 14462812 21044933 22329946 32700259 42089866 44659892 65400518 78154811 84179732 130801036 145144649 156309622 228901813 290289298 312619244 425103367 457803626 580578596 850206734 915607252 1016012543 1700413468 2032025086 2975723569 4064050172 5951447138 9188772779 11902894276 18377545558 36755091116 64321409453 119454046127 128642818906 238908092254 257285637812 477816184508 836178322889 1672356645778 3344713291556