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93960694980 = 2234558000429
BaseRepresentation
bin101011110000001111…
…1100110110011000100
322222112021121212020000
41113200133212303010
53014412414214410
6111055343441300
76534301505145
oct1274037466304
9288467555200
1093960694980
11369373a9929
12162632b6230
138b25561589
144794d3dacc
15269de3adc0
hex15e07e6cc4

93960694980 has 60 divisors (see below), whose sum is σ = 294758185260. Its totient is φ = 25056184896.

The previous prime is 93960694957. The next prime is 93960694987. The reversal of 93960694980 is 8949606939.

It can be written as a sum of positive squares in 2 ways, for example, as 18748729476 + 75211965504 = 136926^2 + 274248^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×939606949802 (a number of 23 digits) contains 22 as substring.

93960694980 is a modest number, since divided by 694980 gives 93960 as remainder.

It is not an unprimeable number, because it can be changed into a prime (93960694987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28998595 + ... + 29001834.

It is an arithmetic number, because the mean of its divisors is an integer number (4912636421).

Almost surely, 293960694980 is an apocalyptic number.

93960694980 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

93960694980 is an abundant number, since it is smaller than the sum of its proper divisors (200797490280).

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

93960694980 is a wasteful number, since it uses less digits than its factorization.

93960694980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58000450 (or 58000439 counting only the distinct ones).

The product of its (nonzero) digits is 22674816, while the sum is 63.

It can be divided in two parts, 9396069 and 4980, that added together give a palindrome (9401049).

The spelling of 93960694980 in words is "ninety-three billion, nine hundred sixty million, six hundred ninety-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 58000429 116000858 174001287 232001716 290002145 348002574 522003861 580004290 696005148 870006435 1044007722 1160008580 1566011583 1740012870 2088015444 2610019305 3132023166 3480025740 4698034749 5220038610 6264046332 7830057915 9396069498 10440077220 15660115830 18792138996 23490173745 31320231660 46980347490 93960694980