Search a number
-
+
150570216192 = 283113147299
BaseRepresentation
bin1000110000111010101…
…1110010101100000000
3112101122111102111102210
42030032223302230000
54431331433404232
6153100534142120
713610161502064
oct2141653625400
9471574374383
10150570216192
1158946a64000
12252217b1940
131127774a5a6
1474053c3aa4
153db3bb75cc
hex230eaf2b00

150570216192 has 144 divisors (see below), whose sum is σ = 440782876800. Its totient is φ = 45627028480.

The previous prime is 150570216113. The next prime is 150570216263. The reversal of 150570216192 is 291612075051.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 150570216192.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 948559 + ... + 1095857.

It is an arithmetic number, because the mean of its divisors is an integer number (3060992200).

Almost surely, 2150570216192 is an apocalyptic number.

150570216192 is a gapful number since it is divisible by the number (12) 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 150570216192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220391438400).

150570216192 is an abundant number, since it is smaller than the sum of its proper divisors (290212660608).

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

150570216192 is an equidigital number, since it uses as much as digits as its factorization.

150570216192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147351 (or 147315 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 39.

The spelling of 150570216192 in words is "one hundred fifty billion, five hundred seventy million, two hundred sixteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 704 726 768 968 1056 1331 1408 1452 1936 2112 2662 2816 2904 3872 3993 4224 5324 5808 7744 7986 8448 10648 11616 15488 15972 21296 23232 30976 31944 42592 46464 63888 85184 92928 127776 147299 170368 255552 294598 340736 441897 511104 589196 883794 1022208 1178392 1620289 1767588 2356784 3240578 3535176 4713568 4860867 6481156 7070352 9427136 9721734 12962312 14140704 17823179 18854272 19443468 25924624 28281408 35646358 37708544 38886936 51849248 53469537 56562816 71292716 77773872 103698496 106939074 113125632 142585432 155547744 196054969 207396992 213878148 285170864 311095488 392109938 414793984 427756296 570341728 588164907 622190976 784219876 855512592 1140683456 1176329814 1244381952 1568439752 1711025184 2281366912 2352659628 3136879504 3422050368 4562733824 4705319256 6273759008 6844100736 9410638512 12547518016 13688201472 18821277024 25095036032 37642554048 50190072064 75285108096 150570216192