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2155482672 = 243743193773
BaseRepresentation
bin1000000001111010…
…0000111000110000
312120012220212100120
42000132200320300
513403300421142
6553515250240
7104262205020
oct20036407060
95505825316
102155482672
11a06794042
12501a49980
13284745945
141663ada80
15c93767ec
hex807a0e30

2155482672 has 160 divisors (see below), whose sum is σ = 6554009088. Its totient is φ = 597639168.

The previous prime is 2155482643. The next prime is 2155482701. The reversal of 2155482672 is 2762845512.

It is an interprime number because it is at equal distance from previous prime (2155482643) and next prime (2155482701).

It is a super-2 number, since 2×21554826722 = 9292211098584519168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2788078 + ... + 2788850.

Almost surely, 22155482672 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 2155482672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3277004544).

2155482672 is an abundant number, since it is smaller than the sum of its proper divisors (4398526416).

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

2155482672 is a wasteful number, since it uses less digits than its factorization.

2155482672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1027 (or 1021 counting only the distinct ones).

The product of its digits is 268800, while the sum is 42.

The square root of 2155482672 is about 46427.1760071620. The cubic root of 2155482672 is about 1291.7590472968.

The spelling of 2155482672 in words is "two billion, one hundred fifty-five million, four hundred eighty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 43 48 56 84 86 112 129 168 172 193 258 301 336 344 386 516 579 602 688 772 773 903 1032 1158 1204 1351 1544 1546 1806 2064 2316 2319 2408 2702 3088 3092 3612 4053 4632 4638 4816 5404 5411 6184 7224 8106 8299 9264 9276 10808 10822 12368 14448 16212 16233 16598 18552 21616 21644 24897 32424 32466 33196 33239 37104 43288 49794 58093 64848 64932 66392 66478 86576 99588 99717 116186 129864 132784 132956 149189 174279 199176 199434 232372 232673 259728 265912 298378 348558 398352 398868 447567 464744 465346 531824 596756 697116 698019 797736 895134 929488 930692 1044323 1193512 1394232 1396038 1595472 1790268 1861384 2088646 2387024 2788464 2792076 3132969 3580536 3722768 4177292 5584152 6265938 6415127 7161072 8354584 11168304 12531876 12830254 16709168 19245381 25063752 25660508 38490762 44905889 50127504 51321016 76981524 89811778 102642032 134717667 153963048 179623556 269435334 307926096 359247112 538870668 718494224 1077741336 2155482672