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2148071376 = 2431121632269
BaseRepresentation
bin1000000000001000…
…1111011111010000
312112200222022222010
42000002033133100
513344401241001
6553052342520
7104142206523
oct20002173720
95480868863
102148071376
11a02591900
124bb474a40
1328304c469
14165400bba
15c88b08d6
hex8008f7d0

2148071376 has 120 divisors (see below), whose sum is σ = 6139641760. Its totient is φ = 646652160.

The previous prime is 2148071347. The next prime is 2148071381. The reversal of 2148071376 is 6731708412.

It is a super-2 number, since 2×21480713762 = 9228421272781066752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 945570 + ... + 947838.

Almost surely, 22148071376 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 2148071376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3069820880).

2148071376 is an abundant number, since it is smaller than the sum of its proper divisors (3991570384).

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

2148071376 is a wasteful number, since it uses less digits than its factorization.

2148071376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 2148071376 is about 46347.2909240659. The cubic root of 2148071376 is about 1290.2768422122.

Adding to 2148071376 its reverse (6731708412), we get a palindrome (8879779788).

The spelling of 2148071376 in words is "two billion, one hundred forty-eight million, seventy-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 163 176 242 264 326 363 484 489 528 652 726 968 978 1304 1452 1793 1936 1956 2269 2608 2904 3586 3912 4538 5379 5808 6807 7172 7824 9076 10758 13614 14344 18152 19723 21516 24959 27228 28688 36304 39446 43032 49918 54456 59169 74877 78892 86064 99836 108912 118338 149754 157784 199672 236676 274549 299508 315568 369847 399344 473352 549098 599016 739694 823647 946704 1098196 1109541 1198032 1479388 1647294 2196392 2219082 2958776 3294588 4068317 4392784 4438164 5917552 6589176 8136634 8876328 12204951 13178352 16273268 17752656 24409902 32546536 44751487 48819804 65093072 89502974 97639608 134254461 179005948 195279216 268508922 358011896 537017844 716023792 1074035688 2148071376