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150011664 = 243112997101
BaseRepresentation
bin10001111000011…
…11111100010000
3101110021101022120
420330033330100
5301400333124
622515134240
73501035535
oct1074177420
9343241276
10150011664
117774aa90
12422a4380
13251042ca
1415cccd8c
15d282d79
hex8f0ff10

150011664 has 160 divisors (see below), whose sum is σ = 446221440. Its totient is φ = 43008000.

The previous prime is 150011647. The next prime is 150011747. The reversal of 150011664 is 466110051.

150011664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1485214 + ... + 1485314.

It is an arithmetic number, because the mean of its divisors is an integer number (2788884).

Almost surely, 2150011664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150011664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223110720).

150011664 is an abundant number, since it is smaller than the sum of its proper divisors (296209776).

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

150011664 is a wasteful number, since it uses less digits than its factorization.

150011664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 150011664 is about 12247.9248854653. The cubic root of 150011664 is about 531.3430562894.

The spelling of 150011664 in words is "one hundred fifty million, eleven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 33 44 48 58 66 87 88 97 101 116 132 174 176 194 202 232 264 291 303 319 348 388 404 464 528 582 606 638 696 776 808 957 1067 1111 1164 1212 1276 1392 1552 1616 1914 2134 2222 2328 2424 2552 2813 2929 3201 3333 3828 4268 4444 4656 4848 5104 5626 5858 6402 6666 7656 8439 8536 8787 8888 9797 11252 11716 12804 13332 15312 16878 17072 17574 17776 19594 22504 23432 25608 26664 29391 30943 32219 33756 35148 39188 45008 46864 51216 53328 58782 61886 64438 67512 70296 78376 92829 96657 107767 117564 123772 128876 135024 140592 156752 185658 193314 215534 235128 247544 257752 284113 323301 371316 386628 431068 470256 495088 515504 568226 646602 742632 773256 852339 862136 1136452 1293204 1485264 1546512 1704678 1724272 2272904 2586408 3125243 3409356 4545808 5172816 6250486 6818712 9375729 12500972 13637424 18751458 25001944 37502916 50003888 75005832 150011664