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2169542016 = 27331274943
BaseRepresentation
bin1000000101010000…
…1001010110000000
312121012101011011000
42001110021112000
513420400321031
6555140452000
7104522542245
oct20124112600
95535334130
102169542016
11a13717034
125066aa000
13287629095
141681cd5cc
15ca7023e6
hex81509580

2169542016 has 128 divisors (see below), whose sum is σ = 6454886400. Its totient is φ = 717341184.

The previous prime is 2169541993. The next prime is 2169542033. The reversal of 2169542016 is 6102459612.

2169542016 is a `hidden beast` number, since 216 + 9 + 5 + 420 + 16 = 666.

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

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

It is a congruent number.

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, 436441 + ... + 441383.

It is an arithmetic number, because the mean of its divisors is an integer number (50428800).

Almost surely, 22169542016 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 2169542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227443200).

2169542016 is an abundant number, since it is smaller than the sum of its proper divisors (4285344384).

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

2169542016 is a wasteful number, since it uses less digits than its factorization.

2169542016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5075 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 2169542016 is about 46578.3427785919. The cubic root of 2169542016 is about 1294.5615040685.

The spelling of 2169542016 in words is "two billion, one hundred sixty-nine million, five hundred forty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 288 381 384 432 508 576 762 864 1016 1143 1152 1524 1728 2032 2286 3048 3429 3456 4064 4572 4943 6096 6858 8128 9144 9886 12192 13716 14829 16256 18288 19772 24384 27432 29658 36576 39544 44487 48768 54864 59316 73152 79088 88974 109728 118632 133461 146304 158176 177948 219456 237264 266922 316352 355896 438912 474528 533844 627761 632704 711792 949056 1067688 1255522 1423584 1883283 1898112 2135376 2511044 2847168 3766566 4270752 5022088 5649849 5694336 7533132 8541504 10044176 11299698 15066264 16949547 17083008 20088352 22599396 30132528 33899094 40176704 45198792 60265056 67798188 80353408 90397584 120530112 135596376 180795168 241060224 271192752 361590336 542385504 723180672 1084771008 2169542016