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149323507776 = 263617892
BaseRepresentation
bin1000101100010001011…
…1111110100001000000
3112021102121112011000000
42023010113332201000
54421303304222101
6152333121000000
713534242605502
oct2130427764100
9467377464000
10149323507776
1158367255573
1224b34183000
1311109380cc1
1473279b5d72
153d3e502486
hex22c45fe840

149323507776 has 147 divisors (see below), whose sum is σ = 444515992221. Its totient is φ = 49746680064.

The previous prime is 149323507721. The next prime is 149323507789. The reversal of 149323507776 is 677705323941.

The square root of 149323507776 is 386424.

It is a perfect power (a square), and thus also a powerful number.

149323507776 is a `hidden beast` number, since 1 + 49 + 3 + 23 + 507 + 7 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 141093389376 + 8230118400 = 375624^2 + 90720^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 83466690 + ... + 83468478.

Almost surely, 2149323507776 is an apocalyptic number.

149323507776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

149323507776 is the 386424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149323507776

149323507776 is an abundant number, since it is smaller than the sum of its proper divisors (295192484445).

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

149323507776 is an frugal number, since it uses more digits than its factorization.

149323507776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3608 (or 1794 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 54.

The spelling of 149323507776 in words is "one hundred forty-nine billion, three hundred twenty-three million, five hundred seven thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1789 1944 2592 2916 3578 3888 5184 5367 5832 7156 7776 10734 11664 14312 15552 16101 21468 23328 28624 32202 42936 46656 48303 57248 64404 85872 96606 114496 128808 144909 171744 193212 257616 289818 343488 386424 434727 515232 579636 772848 869454 1030464 1159272 1304181 1545696 1738908 2318544 2608362 3091392 3200521 3477816 4637088 5216724 6401042 6955632 9274176 9601563 10433448 12802084 13911264 19203126 20866896 25604168 27822528 28804689 38406252 41733792 51208336 57609378 76812504 83467584 86414067 102416672 115218756 153625008 172828134 204833344 230437512 259242201 307250016 345656268 460875024 518484402 614500032 691312536 777726603 921750048 1036968804 1382625072 1555453206 1843500096 2073937608 2333179809 2765250144 3110906412 4147875216 4666359618 5530500288 6221812824 8295750432 9332719236 12443625648 16591500864 18665438472 24887251296 37330876944 49774502592 74661753888 149323507776