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16145746048 = 271037011747
BaseRepresentation
bin11110000100101110…
…01000100010000000
31112200020001212210101
433002113020202000
5231031302333143
611230043212144
71111051401625
oct170227104200
945606055711
1016145746048
116935941a83
123167217054
1316a4025ab3
14ad247034c
156476d4b4d
hex3c25c8880

16145746048 has 64 divisors (see below), whose sum is σ = 32542585920. Its totient is φ = 7978521600.

The previous prime is 16145746037. The next prime is 16145746049. The reversal of 16145746048 is 84064754161.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 16145745989 and 16145746007.

It is not an unprimeable number, because it can be changed into a prime (16145746049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9241111 + ... + 9242857.

It is an arithmetic number, because the mean of its divisors is an integer number (508477905).

Almost surely, 216145746048 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 16145746048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16271292960).

16145746048 is an abundant number, since it is smaller than the sum of its proper divisors (16396839872).

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

16145746048 is a wasteful number, since it uses less digits than its factorization.

16145746048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2553 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 16145746048 in words is "sixteen billion, one hundred forty-five million, seven hundred forty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 103 128 206 412 701 824 1402 1648 1747 2804 3296 3494 5608 6592 6988 11216 13184 13976 22432 27952 44864 55904 72203 89728 111808 144406 179941 223616 288812 359882 577624 719764 1155248 1224647 1439528 2310496 2449294 2879056 4620992 4898588 5758112 9241984 9797176 11516224 19594352 23032448 39188704 78377408 126138641 156754816 252277282 504554564 1009109128 2018218256 4036436512 8072873024 16145746048