Search a number
-
+
151665000066000 = 2432538425833337
BaseRepresentation
bin100010011111000001000010…
…011101000010101111010000
3201220000000212121211202020200
4202133001002131002233100
5124334334410004103000
61254321534505535200
743642302041616141
oct4237010235025720
9656000777752220
10151665000066000
1144363846703363
12150158397a4500
136681c430a1a65
1429648a7677ac8
15128024c1d2500
hex89f042742bd0

151665000066000 has 120 divisors (see below), whose sum is σ = 529715290293384. Its totient is φ = 40444000012800.

The previous prime is 151665000065983. The next prime is 151665000066029. The reversal of 151665000066000 is 660000566151.

It can be written as a sum of positive squares in 4 ways, for example, as 3256176942144 + 148408823123856 = 1804488^2 + 12182316^2 .

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, 4212898669 + ... + 4212934668.

Almost surely, 2151665000066000 is an apocalyptic number.

151665000066000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151665000066000 is an abundant number, since it is smaller than the sum of its proper divisors (378050290227384).

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

151665000066000 is a wasteful number, since it uses less digits than its factorization.

151665000066000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8425833366 (or 8425833347 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 151665000066000 in words is "one hundred fifty-one trillion, six hundred sixty-five billion, 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 8425833337 16851666674 25277500011 33703333348 42129166685 50555000022 67406666696 75832500033 84258333370 101110000044 126387500055 134813333392 151665000066 168516666740 202220000088 210645833425 252775000110 303330000132 337033333480 379162500165 404440000176 421291666850 505550000220 606660000264 631937500275 674066666960 758325000330 842583333700 1011100000440 1053229167125 1213320000528 1263875000550 1516650000660 1685166667400 1895812500825 2022200000880 2106458334250 2527750001100 3033300001320 3159687501375 3370333334800 3791625001650 4212916668500 5055500002200 6066600002640 6319375002750 7583250003300 8425833337000 9479062504125 10111000004400 12638750005500 15166500006600 16851666674000 18958125008250 25277500011000 30333000013200 37916250016500 50555000022000 75832500033000 151665000066000