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2103466752 = 28331631867
BaseRepresentation
bin111110101100000…
…0101101100000000
312102121001011221000
41331120011230000
513301441414002
6544420332000
7103061113062
oct17530055400
95377034830
102103466752
1198a396782
124a8544000
13276a32aaa
1415d50d732
15c49ee61c
hex7d605b00

2103466752 has 144 divisors (see below), whose sum is σ = 6261834880. Its totient is φ = 696480768.

The previous prime is 2103466741. The next prime is 2103466787. The reversal of 2103466752 is 2576643012.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1125723 + ... + 1127589.

Almost surely, 22103466752 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 2103466752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3130917440).

2103466752 is an abundant number, since it is smaller than the sum of its proper divisors (4158368128).

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

2103466752 is a wasteful number, since it uses less digits than its factorization.

2103466752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 2035 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2103466752 is about 45863.5667169487. The cubic root of 2103466752 is about 1281.2834522394.

The spelling of 2103466752 in words is "two billion, one hundred three million, four hundred sixty-six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 163 192 216 256 288 326 384 432 489 576 652 768 864 978 1152 1304 1467 1728 1867 1956 2304 2608 2934 3456 3734 3912 4401 5216 5601 5868 6912 7468 7824 8802 10432 11202 11736 14936 15648 16803 17604 20864 22404 23472 29872 31296 33606 35208 41728 44808 46944 50409 59744 62592 67212 70416 89616 93888 100818 119488 125184 134424 140832 179232 187776 201636 238976 268848 281664 304321 358464 375552 403272 477952 537696 563328 608642 716928 806544 912963 1075392 1126656 1217284 1433856 1613088 1825926 2150784 2434568 2738889 3226176 3651852 4301568 4869136 5477778 6452352 7303704 8216667 9738272 10955556 12904704 14607408 16433334 19476544 21911112 29214816 32866668 38953088 43822224 58429632 65733336 77906176 87644448 116859264 131466672 175288896 233718528 262933344 350577792 525866688 701155584 1051733376 2103466752