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5972100192 = 2535811947
BaseRepresentation
bin1011000111111011…
…10000010001100000
3120102012120010100000
411203331300101200
544212324201232
62424334500000
7300665004552
oct54375602140
916365503300
105972100192
1125951052a3
1211a8064600
1374237a9c6
144092294d2
1524e47627c
hex163f70460

5972100192 has 144 divisors (see below), whose sum is σ = 17652503232. Its totient is φ = 1986145920.

The previous prime is 5972100191. The next prime is 5972100203. The reversal of 5972100192 is 2910012795.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5972100191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6305863 + ... + 6306809.

It is an arithmetic number, because the mean of its divisors is an integer number (122586828).

Almost surely, 25972100192 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 5972100192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8826251616).

5972100192 is an abundant number, since it is smaller than the sum of its proper divisors (11680403040).

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

5972100192 is an equidigital number, since it uses as much as digits as its factorization.

5972100192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 5972100192 is about 77279.3645936611. The cubic root of 5972100192 is about 1814.2996984110.

The spelling of 5972100192 in words is "five billion, nine hundred seventy-two million, one hundred thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 811 864 947 972 1296 1622 1894 1944 2433 2592 2841 3244 3788 3888 4866 5682 6488 7299 7576 7776 8523 9732 11364 12976 14598 15152 17046 19464 21897 22728 25569 25952 29196 30304 34092 38928 43794 45456 51138 58392 65691 68184 76707 77856 87588 90912 102276 116784 131382 136368 153414 175176 197073 204552 230121 233568 262764 272736 306828 350352 394146 409104 460242 525528 613656 700704 768017 788292 818208 920484 1051056 1227312 1536034 1576584 1840968 2102112 2304051 2454624 3072068 3153168 3681936 4608102 6144136 6306336 6912153 7363872 9216204 12288272 13824306 18432408 20736459 24576544 27648612 36864816 41472918 55297224 62209377 73729632 82945836 110594448 124418754 165891672 186628131 221188896 248837508 331783344 373256262 497675016 663566688 746512524 995350032 1493025048 1990700064 2986050096 5972100192