Search a number
-
+
36494744400 = 2434521126381
BaseRepresentation
bin100001111111010000…
…011001101101010000
310111012101022002210000
4201333100121231100
51044220123310100
624433201010000
72431242131502
oct417720315520
9114171262700
1036494744400
1114528371694
1270a6023900
133597ac5a1a
141aa2c41d72
15e38ddc900
hex87f419b50

36494744400 has 150 divisors (see below), whose sum is σ = 130976825342. Its totient is φ = 9731923200.

The previous prime is 36494744393. The next prime is 36494744413. The reversal of 36494744400 is 444749463.

It can be written as a sum of positive squares in 3 ways, for example, as 10876821264 + 25617923136 = 104292^2 + 160056^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 29 ways as a sum of consecutive naturals, for example, 530791 + ... + 595590.

Almost surely, 236494744400 is an apocalyptic number.

36494744400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36494744400 is an abundant number, since it is smaller than the sum of its proper divisors (94482080942).

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

36494744400 is a wasteful number, since it uses less digits than its factorization.

36494744400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126411 (or 1126391 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 36494744400 in words is "thirty-six billion, four hundred ninety-four million, seven hundred forty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 36 40 45 48 50 54 60 72 75 80 81 90 100 108 120 135 144 150 162 180 200 216 225 240 270 300 324 360 400 405 432 450 540 600 648 675 720 810 900 1080 1200 1296 1350 1620 1800 2025 2160 2700 3240 3600 4050 5400 6480 8100 10800 16200 32400 1126381 2252762 3379143 4505524 5631905 6758286 9011048 10137429 11263810 13516572 16895715 18022096 20274858 22527620 27033144 28159525 30412287 33791430 40549716 45055240 50687145 54066288 56319050 60824574 67582860 81099432 84478575 90110480 91236861 101374290 112638100 121649148 135165720 152061435 162198864 168957150 182473722 202748580 225276200 243298296 253435725 270331440 304122870 337914300 364947444 405497160 450552400 456184305 486596592 506871450 608245740 675828600 729894888 760307175 810994320 912368610 1013742900 1216491480 1351657200 1459789776 1520614350 1824737220 2027485800 2280921525 2432982960 3041228700 3649474440 4054971600 4561843050 6082457400 7298948880 9123686100 12164914800 18247372200 36494744400