Search a number
-
+
3137125544 = 237434753523
BaseRepresentation
bin1011101011111100…
…1011110010101000
322002122001111012222
42322333023302220
522411101004134
61235143253212
7140512061420
oct27277136250
98078044188
103137125544
11136a909943
1273674a208
133acc26407
1421a8dd480
1513562da2e
hexbafcbca8

3137125544 has 128 divisors (see below), whose sum is σ = 7171338240. Its totient is φ = 1258612992.

The previous prime is 3137125529. The next prime is 3137125559. The reversal of 3137125544 is 4455217313.

It is an interprime number because it is at equal distance from previous prime (3137125529) and next prime (3137125559).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5998067 + ... + 5998589.

It is an arithmetic number, because the mean of its divisors is an integer number (56026080).

Almost surely, 23137125544 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 3137125544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585669120).

3137125544 is an abundant number, since it is smaller than the sum of its proper divisors (4034212696).

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

3137125544 is a wasteful number, since it uses less digits than its factorization.

3137125544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 675 counting only the distinct ones).

The product of its digits is 50400, while the sum is 35.

The square root of 3137125544 is about 56010.0485984435. The cubic root of 3137125544 is about 1463.8973782666.

The spelling of 3137125544 in words is "three billion, one hundred thirty-seven million, one hundred twenty-five thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 28 43 47 53 56 86 94 106 172 188 212 301 329 344 371 376 424 523 602 658 742 1046 1204 1316 1484 2021 2092 2279 2408 2491 2632 2968 3661 4042 4184 4558 4982 7322 8084 9116 9964 14147 14644 15953 16168 17437 18232 19928 22489 24581 27719 28294 29288 31906 34874 44978 49162 55438 56588 63812 69748 89956 98324 107113 110876 113176 127624 139496 157423 172067 179912 194033 196648 214226 221752 314846 344134 388066 428452 629692 688268 749791 776132 856904 1056983 1191917 1259384 1302793 1376536 1499582 1552264 2113966 2383834 2605586 2999164 4227932 4767668 5211172 5998328 7398881 8343419 8455864 9119551 9535336 10422344 14797762 16686838 18239102 29595524 33373676 36478204 56020099 59191048 66747352 72956408 112040198 224080396 392140693 448160792 784281386 1568562772 3137125544