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2161639424 = 21971931
BaseRepresentation
bin1000000011011000…
…0000000000000000
312120122111122211102
42000312000000000
513411334430144
6554255233532
7104365426520
oct20066000000
95518448742
102161639424
11a0a20976a
12503b188a8
13285ac00a9
14167133680
15c9b90b4e
hex80d80000

2161639424 has 160 divisors (see below), whose sum is σ = 5368704000. Its totient is φ = 849346560.

The previous prime is 2161639423. The next prime is 2161639451. The reversal of 2161639424 is 4249361612.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161639423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69730289 + ... + 69730319.

It is an arithmetic number, because the mean of its divisors is an integer number (33554400).

Almost surely, 22161639424 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 2161639424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684352000).

2161639424 is an abundant number, since it is smaller than the sum of its proper divisors (3207064576).

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

2161639424 is an frugal number, since it uses more digits than its factorization.

2161639424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 59 counting only the distinct ones).

The product of its digits is 62208, while the sum is 38.

The square root of 2161639424 is about 46493.4342031216. The cubic root of 2161639424 is about 1292.9877713079.

The spelling of 2161639424 in words is "two billion, one hundred sixty-one million, six hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 64 76 112 124 128 133 152 217 224 248 256 266 304 434 448 496 512 532 589 608 868 896 992 1024 1064 1178 1216 1736 1792 1984 2048 2128 2356 2432 3472 3584 3968 4096 4123 4256 4712 4864 6944 7168 7936 8192 8246 8512 9424 9728 13888 14336 15872 16384 16492 17024 18848 19456 27776 28672 31744 32768 32984 34048 37696 38912 55552 57344 63488 65536 65968 68096 75392 77824 111104 114688 126976 131072 131936 136192 150784 155648 222208 229376 253952 262144 263872 272384 301568 311296 444416 458752 507904 524288 527744 544768 603136 622592 888832 917504 1015808 1055488 1089536 1206272 1245184 1777664 1835008 2031616 2110976 2179072 2412544 2490368 3555328 3670016 4063232 4221952 4358144 4825088 4980736 7110656 8126464 8443904 8716288 9650176 9961472 14221312 16252928 16887808 17432576 19300352 28442624 33775616 34865152 38600704 56885248 67551232 69730304 77201408 113770496 135102464 154402816 270204928 308805632 540409856 1080819712 2161639424