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20369161152 = 263324174877
BaseRepresentation
bin10010111110000110…
…001011101111000000
31221120120011121011000
4102332012023233000
5313204001124102
613205113452000
71320524004324
oct227606135700
957516147130
1020369161152
11870295128a
123b45711000
131bc800c4a2
14db333d984
157e338c01c
hex4be18bbc0

20369161152 has 112 divisors (see below), whose sum is σ = 59918620320. Its totient is φ = 6785519616.

The previous prime is 20369161097. The next prime is 20369161159. The reversal of 20369161152 is 25116196302.

20369161152 is a `hidden beast` number, since 2 + 0 + 36 + 9 + 1 + 611 + 5 + 2 = 666.

It is a super-2 number, since 2×203691611522 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20369161159) by changing a digit.

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, 4174138 + ... + 4179014.

Almost surely, 220369161152 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 20369161152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29959310160).

20369161152 is an abundant number, since it is smaller than the sum of its proper divisors (39549459168).

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

20369161152 is a wasteful number, since it uses less digits than its factorization.

20369161152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7315 (or 7299 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 20369161152 in words is "twenty billion, three hundred sixty-nine million, one hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 2417 4834 4877 7251 9668 9754 14502 14631 19336 19508 21753 29004 29262 38672 39016 43506 43893 58008 58524 65259 77344 78032 87012 87786 116016 117048 130518 131679 154688 156064 174024 175572 232032 234096 261036 263358 312128 348048 351144 464064 468192 522072 526716 696096 702288 936384 1044144 1053432 1392192 1404576 2088288 2106864 2809152 4176576 4213728 8427456 11787709 23575418 35363127 47150836 70726254 94301672 106089381 141452508 188603344 212178762 282905016 318268143 377206688 424357524 565810032 636536286 754413376 848715048 1131620064 1273072572 1697430096 2263240128 2546145144 3394860192 5092290288 6789720384 10184580576 20369161152