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97530848688 = 24371359378449
BaseRepresentation
bin101101011010101001…
…0101010010110110000
3100022202002111110102010
41122311102222112300
53044220344124223
6112445520322520
710021622351430
oct1326522522660
9308662443363
1097530848688
11383a9692189
1216a9aa73440
1392740c1670
144a131602c0
15280c5a4393
hex16b54aa5b0

97530848688 has 160 divisors (see below), whose sum is σ = 315354816000. Its totient is φ = 25286381568.

The previous prime is 97530848687. The next prime is 97530848689. The reversal of 97530848688 is 88684803579.

It is an interprime number because it is at equal distance from previous prime (97530848687) and next prime (97530848689).

It is not an unprimeable number, because it can be changed into a prime (97530848687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68488 + ... + 446936.

It is an arithmetic number, because the mean of its divisors is an integer number (1970967600).

Almost surely, 297530848688 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 97530848688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157677408000).

97530848688 is an abundant number, since it is smaller than the sum of its proper divisors (217823967312).

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

97530848688 is a wasteful number, since it uses less digits than its factorization.

97530848688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378539 (or 378533 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 66.

The spelling of 97530848688 in words is "ninety-seven billion, five hundred thirty million, eight hundred forty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 59 78 84 91 104 112 118 156 168 177 182 208 236 273 312 336 354 364 413 472 546 624 708 728 767 826 944 1092 1239 1416 1456 1534 1652 2184 2301 2478 2832 3068 3304 4368 4602 4956 5369 6136 6608 9204 9912 10738 12272 16107 18408 19824 21476 32214 36816 42952 64428 85904 128856 257712 378449 756898 1135347 1513796 2270694 2649143 3027592 4541388 4919837 5298286 6055184 7947429 9082776 9839674 10596572 14759511 15894858 18165552 19679348 21193144 22328491 29519022 31789716 34438859 39358696 42386288 44656982 59038044 63579432 66985473 68877718 78717392 89313964 103316577 118076088 127158864 133970946 137755436 156299437 178627928 206633154 236152176 267941892 275510872 290270383 312598874 357255856 413266308 468898311 535883784 551021744 580540766 625197748 826532616 870811149 937796622 1071767568 1161081532 1250395496 1653065232 1741622298 1875593244 2031892681 2322163064 2500790992 3483244596 3751186488 4063785362 4644326128 6095678043 6966489192 7502372976 8127570724 12191356086 13932978384 16255141448 24382712172 32510282896 48765424344 97530848688