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3299046816 = 253138331849
BaseRepresentation
bin1100010010100011…
…0111010110100000
322111220201221110010
43010220313112200
523224023444231
61303210004520
7144516302202
oct30450672640
98456657403
103299046816
11144325377a
12780a16740
1340763a510
1423420c772
15144965546
hexc4a375a0

3299046816 has 96 divisors (see below), whose sum is σ = 9438811200. Its totient is φ = 1002829824.

The previous prime is 3299046787. The next prime is 3299046827. The reversal of 3299046816 is 6186409923.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 87660 + ... + 119508.

It is an arithmetic number, because the mean of its divisors is an integer number (98320950).

Almost surely, 23299046816 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 3299046816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4719405600).

3299046816 is an abundant number, since it is smaller than the sum of its proper divisors (6139764384).

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

3299046816 is a wasteful number, since it uses less digits than its factorization.

3299046816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31958 (or 31950 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 3299046816 is about 57437.3294643823. The cubic root of 3299046816 is about 1488.6621951470.

The spelling of 3299046816 in words is "three billion, two hundred ninety-nine million, forty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 83 96 104 156 166 208 249 312 332 416 498 624 664 996 1079 1248 1328 1992 2158 2656 3237 3984 4316 6474 7968 8632 12948 17264 25896 31849 34528 51792 63698 95547 103584 127396 191094 254792 382188 414037 509584 764376 828074 1019168 1242111 1528752 1656148 2484222 2643467 3057504 3312296 4968444 5286934 6624592 7930401 9936888 10573868 13249184 15860802 19873776 21147736 31721604 34365071 39747552 42295472 63443208 68730142 84590944 103095213 126886416 137460284 206190426 253772832 274920568 412380852 549841136 824761704 1099682272 1649523408 3299046816