Search a number
-
+
150799244160 = 2735283277531
BaseRepresentation
bin1000110001110001010…
…1011101101110000000
3112102020110101022202010
42030130111131232000
54432314101303120
6153135355052520
713615642266105
oct2143425355600
9472213338663
10150799244160
1158a54273114
1225286441140
13112b30292b6
1474279a0aac
153dc8d577e0
hex231c55db80

150799244160 has 128 divisors (see below), whose sum is σ = 482372818560. Its totient is φ = 40070891520.

The previous prime is 150799244153. The next prime is 150799244191. The reversal of 150799244160 is 61442997051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 404595 + ... + 682125.

It is an arithmetic number, because the mean of its divisors is an integer number (3768537645).

Almost surely, 2150799244160 is an apocalyptic number.

150799244160 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 150799244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241186409280).

150799244160 is an abundant number, since it is smaller than the sum of its proper divisors (331573574400).

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

150799244160 is a wasteful number, since it uses less digits than its factorization.

150799244160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277836 (or 277824 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 150799244160 in words is "one hundred fifty billion, seven hundred ninety-nine million, two hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 283 320 384 480 566 640 849 960 1132 1415 1698 1920 2264 2830 3396 4245 4528 5660 6792 8490 9056 11320 13584 16980 18112 22640 27168 33960 36224 45280 54336 67920 90560 108672 135840 181120 271680 277531 543360 555062 832593 1110124 1387655 1665186 2220248 2775310 3330372 4162965 4440496 5550620 6660744 8325930 8880992 11101240 13321488 16651860 17761984 22202480 26642976 33303720 35523968 44404960 53285952 66607440 78541273 88809920 106571904 133214880 157082546 177619840 235623819 266429760 314165092 392706365 471247638 532859520 628330184 785412730 942495276 1178119095 1256660368 1570825460 1884990552 2356238190 2513320736 3141650920 3769981104 4712476380 5026641472 6283301840 7539962208 9424952760 10053282944 12566603680 15079924416 18849905520 25133207360 30159848832 37699811040 50266414720 75399622080 150799244160