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272197906812 = 223313251772403
BaseRepresentation
bin1111110110000001000…
…0100111000101111100
3222000120221101100201000
43331200100213011330
513424430131004222
6325013533450300
725444214014146
oct3754020470574
9860527340630
10272197906812
11a5490693187
1244906640990
131c88bc144b0
14d26298bc96
1571319db9ac
hex3f6042717c

272197906812 has 96 divisors (see below), whose sum is σ = 763011567360. Its totient is φ = 83419416000.

The previous prime is 272197906789. The next prime is 272197906819. The reversal of 272197906812 is 218609791272.

272197906812 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272197906819) 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 31 ways as a sum of consecutive naturals, for example, 33798 + ... + 738605.

It is an arithmetic number, because the mean of its divisors is an integer number (7948037160).

Almost surely, 2272197906812 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 272197906812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381505783680).

272197906812 is an abundant number, since it is smaller than the sum of its proper divisors (490813660548).

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

272197906812 is a wasteful number, since it uses less digits than its factorization.

272197906812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772680 (or 772672 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 272197906812 in words is "two hundred seventy-two billion, one hundred ninety-seven million, nine hundred six thousand, eight hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 251 351 468 502 702 753 1004 1404 1506 2259 3012 3263 4518 6526 6777 9036 9789 13052 13554 19578 27108 29367 39156 58734 88101 117468 176202 352404 772403 1544806 2317209 3089612 4634418 6951627 9268836 10041239 13903254 20082478 20854881 27806508 30123717 40164956 41709762 60247434 83419524 90371151 120494868 180742302 193873153 271113453 361484604 387746306 542226906 581619459 775492612 1084453812 1163238918 1744858377 2326477836 2520350989 3489716754 5040701978 5234575131 6979433508 7561052967 10081403956 10469150262 15122105934 20938300524 22683158901 30244211868 45366317802 68049476703 90732635604 136098953406 272197906812