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93040771320 = 23325736920941
BaseRepresentation
bin101011010100110101…
…0011000000011111000
322220011011121220012100
41112221222120003320
53011021414140240
6110424202343400
76502431336030
oct1265152300370
9286134556170
1093040771320
11365050a9642
12160471bab60
138a09ab0453
144708ab88c0
1526482c5e30
hex15a9a980f8

93040771320 has 96 divisors (see below), whose sum is σ = 345580017120. Its totient is φ = 21266461440.

The previous prime is 93040771261. The next prime is 93040771337. The reversal of 93040771320 is 2317704039.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 18457951 + ... + 18462990.

It is an arithmetic number, because the mean of its divisors is an integer number (3599791845).

Almost surely, 293040771320 is an apocalyptic number.

93040771320 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

93040771320 is an abundant number, since it is smaller than the sum of its proper divisors (252539245800).

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

93040771320 is a wasteful number, since it uses less digits than its factorization.

93040771320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36920965 (or 36920958 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 93040771320 in words is "ninety-three billion, forty million, seven hundred seventy-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 36920941 73841882 110762823 147683764 184604705 221525646 258446587 295367528 332288469 369209410 443051292 516893174 553814115 664576938 738418820 775339761 886102584 1033786348 1107628230 1292232935 1329153876 1476837640 1550679522 1661442345 2067572696 2215256460 2326019283 2584465870 2658307752 3101359044 3322884690 3876698805 4430512920 4652038566 5168931740 6202718088 6645769380 7753397610 9304077132 10337863480 11630096415 13291538760 15506795220 18608154264 23260192830 31013590440 46520385660 93040771320