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130974066000 = 2432537276337
BaseRepresentation
bin111100111111010101…
…0011010010101010000
3110112001210210220222100
41321332222122111100
54121213330103000
6140100232440400
712314442122631
oct1717652322520
9415053726870
10130974066000
115060049a358
1221472b49100
13c47393164b
1464a69c5888
153618620a00
hex1e7ea9a550

130974066000 has 120 divisors (see below), whose sum is σ = 457448817384. Its totient is φ = 34926412800.

The previous prime is 130974065947. The next prime is 130974066011. The reversal of 130974066000 is 660479031.

130974066000 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 7 + 40 + 6 + 600 + 0 = 666.

130974066000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2804337936 + 128169728064 = 52956^2 + 358008^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3620169 + ... + 3656168.

Almost surely, 2130974066000 is an apocalyptic number.

130974066000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130974066000 is an abundant number, since it is smaller than the sum of its proper divisors (326474751384).

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

130974066000 is a wasteful number, since it uses less digits than its factorization.

130974066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7276366 (or 7276347 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 130974066000 in words is "one hundred thirty billion, nine hundred seventy-four million, sixty-six thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 7276337 14552674 21829011 29105348 36381685 43658022 58210696 65487033 72763370 87316044 109145055 116421392 130974066 145526740 174632088 181908425 218290110 261948132 291053480 327435165 349264176 363816850 436580220 523896264 545725275 582106960 654870330 727633700 873160440 909542125 1047792528 1091450550 1309740660 1455267400 1637175825 1746320880 1819084250 2182901100 2619481320 2728626375 2910534800 3274351650 3638168500 4365802200 5238962640 5457252750 6548703300 7276337000 8185879125 8731604400 10914505500 13097406600 14552674000 16371758250 21829011000 26194813200 32743516500 43658022000 65487033000 130974066000