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1664155152 = 243311615741
BaseRepresentation
bin110001100110000…
…1111111000010000
311021222101211201000
41203030033320100
511402010431102
6433044342000
756145041202
oct14314177020
94258354630
101664155152
11784410440
123a53a4900
13206a090ba
1411b034772
159b17301c
hex6330fe10

1664155152 has 160 divisors (see below), whose sum is σ = 5297339520. Its totient is φ = 495936000.

The previous prime is 1664155139. The next prime is 1664155153. The reversal of 1664155152 is 2515514661.

1664155152 is a `hidden beast` number, since 1 + 6 + 641 + 5 + 5 + 1 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1664155153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287002 + ... + 292742.

It is an arithmetic number, because the mean of its divisors is an integer number (33108372).

Almost surely, 21664155152 is an apocalyptic number.

1664155152 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 1664155152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2648669760).

1664155152 is an abundant number, since it is smaller than the sum of its proper divisors (3633184368).

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

1664155152 is a wasteful number, since it uses less digits than its factorization.

1664155152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5830 (or 5818 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 1664155152 is about 40794.0578025771. The cubic root of 1664155152 is about 1185.0352561214.

It can be divided in two parts, 1664 and 155152, that added together give a square (156816 = 3962).

The spelling of 1664155152 in words is "one billion, six hundred sixty-four million, one hundred fifty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 61 66 72 88 99 108 122 132 144 176 183 198 216 244 264 297 366 396 432 488 528 549 594 671 732 792 976 1098 1188 1342 1464 1584 1647 2013 2196 2376 2684 2928 3294 4026 4392 4752 5368 5741 6039 6588 8052 8784 10736 11482 12078 13176 16104 17223 18117 22964 24156 26352 32208 34446 36234 45928 48312 51669 63151 68892 72468 91856 96624 103338 126302 137784 144936 155007 189453 206676 252604 275568 289872 310014 350201 378906 413352 505208 568359 620028 700402 757812 826704 1010416 1050603 1136718 1240056 1400804 1515624 1705077 2101206 2273436 2480112 2801608 3031248 3151809 3410154 3852211 4202412 4546872 5603216 6303618 6820308 7704422 8404824 9093744 9455427 11556633 12607236 13640616 15408844 16809648 18910854 23113266 25214472 27281232 30817688 34669899 37821708 46226532 50428944 61635376 69339798 75643416 92453064 104009697 138679596 151286832 184906128 208019394 277359192 416038788 554718384 832077576 1664155152