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2037098496 = 21132331423
BaseRepresentation
bin111100101101011…
…1010100000000000
312020222011022210110
41321122322200000
513132444122441
6534050031320
7101324023446
oct17132724000
95228138713
102037098496
11955986284
1248a278540
13266066334
14154794b96
15bdc8eb16
hex796ba800

2037098496 has 96 divisors (see below), whose sum is σ = 5458078080. Its totient is φ = 675643392.

The previous prime is 2037098449. The next prime is 2037098521. The reversal of 2037098496 is 6948907302.

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

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1430841 + ... + 1432263.

It is an arithmetic number, because the mean of its divisors is an integer number (56854980).

Almost surely, 22037098496 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 2037098496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729039040).

2037098496 is an abundant number, since it is smaller than the sum of its proper divisors (3420979584).

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

2037098496 is a wasteful number, since it uses less digits than its factorization.

2037098496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1681 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 2037098496 is about 45134.2275440713. The cubic root of 2037098496 is about 1267.6635687900.

The spelling of 2037098496 in words is "two billion, thirty-seven million, ninety-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 256 384 466 512 699 768 932 1024 1398 1423 1536 1864 2048 2796 2846 3072 3728 4269 5592 5692 6144 7456 8538 11184 11384 14912 17076 22368 22768 29824 34152 44736 45536 59648 68304 89472 91072 119296 136608 178944 182144 238592 273216 331559 357888 364288 477184 546432 663118 715776 728576 994677 1092864 1326236 1431552 1457152 1989354 2185728 2652472 2914304 3978708 4371456 5304944 7957416 8742912 10609888 15914832 21219776 31829664 42439552 63659328 84879104 127318656 169758208 254637312 339516416 509274624 679032832 1018549248 2037098496