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97875483840 = 2633511328181
BaseRepresentation
bin101101100100111010…
…1010101110011000000
3100100122002222201222000
41123021311111303000
53100422110440330
6112544031144000
710033305612561
oct1331165256300
9310562881860
1097875483840
1138566182722
1216b76375000
1392ca6199a4
144a46c32168
15282c97d560
hex16c9d55cc0

97875483840 has 112 divisors (see below), whose sum is σ = 345282987360. Its totient is φ = 26100126720.

The previous prime is 97875483829. The next prime is 97875483847. The reversal of 97875483840 is 4838457879.

97875483840 is a `hidden beast` number, since 9 + 7 + 8 + 7 + 548 + 3 + 84 + 0 = 666.

It is a super-2 number, since 2×978754838402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (97875483847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5655451 + ... + 5672730.

Almost surely, 297875483840 is an apocalyptic number.

97875483840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97875483840 is an abundant number, since it is smaller than the sum of its proper divisors (247407503520).

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

97875483840 is a wasteful number, since it uses less digits than its factorization.

97875483840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11328207 (or 11328191 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 97875483840 in words is "ninety-seven billion, eight hundred seventy-five million, four hundred eighty-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 8640 11328181 22656362 33984543 45312724 56640905 67969086 90625448 101953629 113281810 135938172 169922715 181250896 203907258 226563620 271876344 305860887 339845430 362501792 407814516 453127240 509768145 543752688 611721774 679690860 725003584 815629032 906254480 1019536290 1087505376 1223443548 1359381720 1529304435 1631258064 1812508960 2039072580 2175010752 2446887096 2718763440 3058608870 3262516128 3625017920 4078145160 4893774192 5437526880 6117217740 6525032256 8156290320 9787548384 10875053760 12234435480 16312580640 19575096768 24468870960 32625161280 48937741920 97875483840