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11797270664190 = 23511169321115951
BaseRepresentation
bin1010101110101100010000…
…1000001001001111111110
31112202210211002001210102120
42223223010020021033332
53021241302242223230
641031331420503410
72325216236051154
oct253530410111776
945683732053376
1011797270664190
113839215810280
1213a64820aab66
13677629ab540b
142cadc322d3d4
15156d1a06e310
hexabac42093fe

11797270664190 has 64 divisors (see below), whose sum is σ = 30905645202432. Its totient is φ = 2858254992000.

The previous prime is 11797270664167. The next prime is 11797270664197. The reversal of 11797270664190 is 9146607279711.

It is a happy number.

11797270664190 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×117972706641902 (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11797270664197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9999286 + ... + 11116665.

It is an arithmetic number, because the mean of its divisors is an integer number (482900706288).

Almost surely, 211797270664190 is an apocalyptic number.

11797270664190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11797270664190 is an abundant number, since it is smaller than the sum of its proper divisors (19108374538242).

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

11797270664190 is a wasteful number, since it uses less digits than its factorization.

11797270664190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21117665.

The product of its (nonzero) digits is 8001504, while the sum is 60.

The spelling of 11797270664190 in words is "eleven trillion, seven hundred ninety-seven billion, two hundred seventy million, six hundred sixty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 1693 3386 5079 8465 10158 16930 18623 25395 37246 50790 55869 93115 111738 186230 279345 558690 21115951 42231902 63347853 105579755 126695706 211159510 232275461 316739265 464550922 633478530 696826383 1161377305 1393652766 2322754610 3484131915 6968263830 35749305043 71498610086 107247915129 178746525215 214495830258 357493050430 393242355473 536239575645 786484710946 1072479151290 1179727066419 1966211777365 2359454132838 3932423554730 5898635332095 11797270664190