Search a number
-
+
156811622000 = 24531152113681
BaseRepresentation
bin1001001000001010110…
…0110111011001110000
3112222202110201202121212
42102002230313121300
510032122233401000
6200012133135252
714220636536345
oct2220254673160
9488673652555
10156811622000
116055a088620
1226483a8a528
1311a3083a017
1478382b27cc
15412bad7c35
hex2482b37670

156811622000 has 160 divisors (see below), whose sum is σ = 414464776128. Its totient is φ = 56908800000.

The previous prime is 156811621991. The next prime is 156811622021. The reversal of 156811622000 is 226118651.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11455160 + ... + 11468840.

Almost surely, 2156811622000 is an apocalyptic number.

156811622000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156811622000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207232388064).

156811622000 is an abundant number, since it is smaller than the sum of its proper divisors (257653154128).

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

156811622000 is a wasteful number, since it uses less digits than its factorization.

156811622000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14236 (or 14220 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 32.

The spelling of 156811622000 in words is "one hundred fifty-six billion, eight hundred eleven million, six hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 521 550 880 1000 1042 1100 1375 2000 2084 2200 2605 2750 4168 4400 5210 5500 5731 8336 10420 11000 11462 13025 13681 20840 22000 22924 26050 27362 28655 41680 45848 52100 54724 57310 65125 68405 91696 104200 109448 114620 130250 136810 143275 150491 208400 218896 229240 260500 273620 286550 300982 342025 458480 521000 547240 573100 601964 684050 716375 752455 1042000 1094480 1146200 1203928 1368100 1432750 1504910 1710125 2292400 2407856 2736200 2865500 3009820 3420250 3762275 5472400 5731000 6019640 6840500 7127801 7524550 11462000 12039280 13681000 14255602 15049100 18811375 27362000 28511204 30098200 35639005 37622750 57022408 60196400 71278010 75245500 78405811 114044816 142556020 150491000 156811622 178195025 285112040 300982000 313623244 356390050 392029055 570224080 627246488 712780100 784058110 890975125 1254492976 1425560200 1568116220 1781950250 1960145275 2851120400 3136232440 3563900500 3920290550 6272464880 7127801000 7840581100 9800726375 14255602000 15681162200 19601452750 31362324400 39202905500 78405811000 156811622000