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3204998016 = 273113720507
BaseRepresentation
bin1011111100001000…
…0110001110000000
322021100202202202020
42333002012032000
523030434414031
61250010121440
7142265014353
oct27702061600
98240682666
103204998016
1113a51574a0
12755420280
133c0ccb73c
1422592a29a
1513b589096
hexbf086380

3204998016 has 128 divisors (see below), whose sum is σ = 9538680960. Its totient is φ = 944916480.

The previous prime is 3204997993. The next prime is 3204998021. The reversal of 3204998016 is 6108994023.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146035 + ... + 166541.

It is an arithmetic number, because the mean of its divisors is an integer number (74520945).

Almost surely, 23204998016 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 3204998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4769340480).

3204998016 is an abundant number, since it is smaller than the sum of its proper divisors (6333682944).

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

3204998016 is a wasteful number, since it uses less digits than its factorization.

3204998016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20572 (or 20560 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 3204998016 is about 56612.7018963059. The cubic root of 3204998016 is about 1474.3794023922.

The spelling of 3204998016 in words is "three billion, two hundred four million, nine hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 64 66 74 88 96 111 128 132 148 176 192 222 264 296 352 384 407 444 528 592 704 814 888 1056 1184 1221 1408 1628 1776 2112 2368 2442 3256 3552 4224 4736 4884 6512 7104 9768 13024 14208 19536 20507 26048 39072 41014 52096 61521 78144 82028 123042 156288 164056 225577 246084 328112 451154 492168 656224 676731 758759 902308 984336 1312448 1353462 1517518 1804616 1968672 2276277 2624896 2706924 3035036 3609232 3937344 4552554 5413848 6070072 7218464 7874688 8346349 9105108 10827696 12140144 14436928 16692698 18210216 21655392 24280288 25039047 28873856 33385396 36420432 43310784 48560576 50078094 66770792 72840864 86621568 97121152 100156188 133541584 145681728 200312376 267083168 291363456 400624752 534166336 801249504 1068332672 1602499008 3204998016