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316828588416 = 27319259316747
BaseRepresentation
bin1001001110001000111…
…01001001100110000000
31010021210022212220011120
410213010131021212000
520142331104312131
6401314332112240
731614210365334
oct4470435114600
91107708786146
10316828588416
1111240352990a
12514a1305680
1323b52467332
14114981617c4
158394cc7496
hex49c4749980

316828588416 has 128 divisors (see below), whose sum is σ = 886263964800. Its totient is φ = 100006576128.

The previous prime is 316828588403. The next prime is 316828588471. The reversal of 316828588416 is 614885828613.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 316828588416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18910155 + ... + 18926901.

It is an arithmetic number, because the mean of its divisors is an integer number (6923937225).

Almost surely, 2316828588416 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 316828588416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443131982400).

316828588416 is an abundant number, since it is smaller than the sum of its proper divisors (569435376384).

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

316828588416 is a wasteful number, since it uses less digits than its factorization.

316828588416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19376 (or 19364 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 60.

The spelling of 316828588416 in words is "three hundred sixteen billion, eight hundred twenty-eight million, five hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 2593 3648 5186 7296 7779 10372 15558 16747 20744 31116 33494 41488 49267 50241 62232 66988 82976 98534 100482 124464 133976 147801 165952 197068 200964 248928 267952 295602 318193 331904 394136 401928 497856 535904 591204 636386 788272 803856 954579 995712 1071808 1182408 1272772 1576544 1607712 1909158 2143616 2364816 2545544 3153088 3215424 3818316 4729632 5091088 6306176 6430848 7636632 9459264 10182176 15273264 18918528 20364352 30546528 40728704 43424971 61093056 86849942 122186112 130274913 173699884 260549826 347399768 521099652 694799536 825074449 1042199304 1389599072 1650148898 2084398608 2475223347 2779198144 3300297796 4168797216 4950446694 5558396288 6600595592 8337594432 9900893388 13201191184 16675188864 19801786776 26402382368 39603573552 52804764736 79207147104 105609529472 158414294208 316828588416