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5597016532992 = 211321033293957
BaseRepresentation
bin101000101110010100000…
…1011101010100000000000
3201211001212201001100120100
41101130220023222200000
51213200142213023432
615523122304442400
71115241200363463
oct121345013524000
921731781040510
105597016532992
111868754a12145
127648a5619400
13317a478a8581
14154c7b6c92da
159a8d06b407c
hex517282ea800

5597016532992 has 144 divisors (see below), whose sum is σ = 16180915170420. Its totient is φ = 1863859765248.

The previous prime is 5597016532951. The next prime is 5597016532997. The reversal of 5597016532992 is 2992356107955.

5597016532992 is a `hidden beast` number, since 5 + 5 + 9 + 7 + 0 + 1 + 6 + 532 + 9 + 92 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5366524363776 + 230492169216 = 2316576^2 + 480096^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (5597016532997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18893278 + ... + 19187234.

Almost surely, 25597016532992 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 5597016532992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8090457585210).

5597016532992 is an abundant number, since it is smaller than the sum of its proper divisors (10583898637428).

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

5597016532992 is a wasteful number, since it uses less digits than its factorization.

5597016532992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295018 (or 294995 counting only the distinct ones).

The product of its (nonzero) digits is 45927000, while the sum is 63.

The spelling of 5597016532992 in words is "five trillion, five hundred ninety-seven billion, sixteen million, five hundred thirty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1033 1152 1536 2048 2066 2304 3072 3099 4132 4608 6144 6198 8264 9216 9297 12396 16528 18432 18594 24792 33056 37188 49584 66112 74376 99168 132224 148752 198336 264448 293957 297504 396672 528896 587914 595008 793344 881871 1057792 1175828 1190016 1586688 1763742 2115584 2351656 2380032 2645613 3173376 3527484 4703312 4760064 5291226 6346752 7054968 9406624 9520128 10582452 14109936 18813248 19040256 21164904 28219872 37626496 42329808 56439744 75252992 84659616 112879488 150505984 169319232 225758976 301011968 303657581 338638464 451517952 602023936 607315162 677276928 903035904 910972743 1214630324 1354553856 1806071808 1821945486 2429260648 2709107712 2732918229 3643890972 4858521296 5418215424 5465836458 7287781944 9717042592 10931672916 14575563888 19434085184 21863345832 29151127776 38868170368 43726691664 58302255552 77736340736 87453383328 116604511104 155472681472 174906766656 233209022208 310945362944 349813533312 466418044416 621890725888 699627066624 932836088832 1399254133248 1865672177664 2798508266496 5597016532992