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97214971950 = 23252839257489
BaseRepresentation
bin101101010001001110…
…1101100000000101110
3100021221002010020222200
41122202131230000232
53043044013100300
6112354314122330
710011035425125
oct1324235540056
9307832106880
1097214971950
1138257354328
1216a111203a6
139223825155
1449c3216abc
1527de9ab200
hex16a276c02e

97214971950 has 72 divisors (see below), whose sum is σ = 261496544400. Its totient is φ = 25892993280.

The previous prime is 97214971939. The next prime is 97214971967. The reversal of 97214971950 is 5917941279.

97214971950 is a `hidden beast` number, since 97 + 2 + 1 + 497 + 19 + 50 = 666.

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 35 ways as a sum of consecutive naturals, for example, 248806 + ... + 506294.

It is an arithmetic number, because the mean of its divisors is an integer number (3631896450).

Almost surely, 297214971950 is an apocalyptic number.

97214971950 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 97214971950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130748272200).

97214971950 is an abundant number, since it is smaller than the sum of its proper divisors (164281572450).

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

97214971950 is a wasteful number, since it uses less digits than its factorization.

97214971950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258346 (or 258338 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 54.

The spelling of 97214971950 in words is "ninety-seven billion, two hundred fourteen million, nine hundred seventy-one thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 839 1678 2517 4195 5034 7551 8390 12585 15102 20975 25170 37755 41950 62925 75510 125850 188775 257489 377550 514978 772467 1287445 1544934 2317401 2574890 3862335 4634802 6437225 7724670 11587005 12874450 19311675 23174010 38623350 57935025 115870050 216033271 432066542 648099813 1080166355 1296199626 1944299439 2160332710 3240499065 3888598878 5400831775 6480998130 9721497195 10801663550 16202495325 19442994390 32404990650 48607485975 97214971950