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6490972160 = 2135374283
BaseRepresentation
bin1100000101110010…
…00110000000000000
3121202100220112212022
412002321012000000
5101243142102120
62552032021012
7316565232041
oct60271060000
917670815768
106490972160
112830a91502
121311991768
137c5a0c93a
144580d48c8
1527ecbb025
hex182e46000

6490972160 has 112 divisors (see below), whose sum is σ = 16002128016. Its totient is φ = 2525626368.

The previous prime is 6490972133. The next prime is 6490972211. The reversal of 6490972160 is 612790946.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1513379 + ... + 1517661.

It is an arithmetic number, because the mean of its divisors is an integer number (142876143).

Almost surely, 26490972160 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 6490972160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8001064008).

6490972160 is an abundant number, since it is smaller than the sum of its proper divisors (9511155856).

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

6490972160 is an equidigital number, since it uses as much as digits as its factorization.

6490972160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4351 (or 4327 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 44.

The square root of 6490972160 is about 80566.5697420462. The cubic root of 6490972160 is about 1865.3911649236.

The spelling of 6490972160 in words is "six billion, four hundred ninety million, nine hundred seventy-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 512 592 640 740 1024 1184 1280 1480 2048 2368 2560 2960 4096 4283 4736 5120 5920 8192 8566 9472 10240 11840 17132 18944 20480 21415 23680 34264 37888 40960 42830 47360 68528 75776 85660 94720 137056 151552 158471 171320 189440 274112 303104 316942 342640 378880 548224 633884 685280 757760 792355 1096448 1267768 1370560 1515520 1584710 2192896 2535536 2741120 3169420 4385792 5071072 5482240 6338840 8771584 10142144 10964480 12677680 17543168 20284288 21928960 25355360 35086336 40568576 43857920 50710720 81137152 87715840 101421440 162274304 175431680 202842880 324548608 405685760 649097216 811371520 1298194432 1622743040 3245486080 6490972160