Search a number
-
+
27668331144120 = 2335297950669869
BaseRepresentation
bin1100100101010000010010…
…00011001010001110111000
310121222001210120101022111210
412102220021003022032320
512111304220233102440
6134502353355323120
75553654016206552
oct622501103121670
9117861716338453
1027668331144120
1188a8089689907
12312a3841504a0
131259160020604
146b92238544d2
1532eab4262a80
hex192a090ca3b8

27668331144120 has 64 divisors (see below), whose sum is σ = 85867234596000. Its totient is φ = 7123800201728.

The previous prime is 27668331144073. The next prime is 27668331144169. The reversal of 27668331144120 is 2144113386672.

It is a self number, because there is not a number n which added to its sum of digits gives 27668331144120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3975331455 + ... + 3975338414.

Almost surely, 227668331144120 is an apocalyptic number.

27668331144120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27668331144120 is an abundant number, since it is smaller than the sum of its proper divisors (58198903451880).

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

27668331144120 is a wasteful number, since it uses less digits than its factorization.

27668331144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7950669912 (or 7950669908 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 27668331144120 in words is "twenty-seven trillion, six hundred sixty-eight billion, three hundred thirty-one million, one hundred forty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 696 870 1160 1740 3480 7950669869 15901339738 23852009607 31802679476 39753349345 47704019214 63605358952 79506698690 95408038428 119260048035 159013397380 190816076856 230569426201 238520096070 318026794760 461138852402 477040192140 691708278603 922277704804 954080384280 1152847131005 1383416557206 1844555409608 2305694262010 2766833114412 3458541393015 4611388524020 5533666228824 6917082786030 9222777048040 13834165572060 27668331144120