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3945745416 = 233379294783
BaseRepresentation
bin1110101100101111…
…0100110000001000
3101011222121122011010
43223023310300020
531040102323131
61451311003520
7166531165644
oct35313646010
911158548133
103945745416
1117452a7a28
129215095a0
134ab606902
1429606dc24
15181609b46
hexeb2f4c08

3945745416 has 64 divisors (see below), whose sum is σ = 10143993600. Its totient is φ = 1278056448.

The previous prime is 3945745393. The next prime is 3945745429. The reversal of 3945745416 is 6145475493.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 822561 + ... + 827343.

It is an arithmetic number, because the mean of its divisors is an integer number (158499900).

Almost surely, 23945745416 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 3945745416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5071996800).

3945745416 is an abundant number, since it is smaller than the sum of its proper divisors (6198248184).

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

3945745416 is a wasteful number, since it uses less digits than its factorization.

3945745416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5758 (or 5754 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 48.

The square root of 3945745416 is about 62815.1686776371. The cubic root of 3945745416 is about 1580.1913745653.

The spelling of 3945745416 in words is "three billion, nine hundred forty-five million, seven hundred forty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 929 1858 2787 3716 4783 5574 7432 9566 11148 14349 19132 22296 28698 34373 38264 57396 68746 103119 114792 137492 176971 206238 274984 353942 412476 530913 707884 824952 1061826 1415768 2123652 4247304 4443407 8886814 13330221 17773628 26660442 35547256 53320884 106641768 164406059 328812118 493218177 657624236 986436354 1315248472 1972872708 3945745416