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2091202048 = 2913417997
BaseRepresentation
bin111110010100101…
…0011011000000000
312101201222001220201
41330221103120000
513240321431143
6543301414544
7102551631655
oct17451233000
95351861821
102091202048
1198347a061
124a440a454
1327432a480
1415ba39c2c
15c38ca64d
hex7ca53600

2091202048 has 160 divisors (see below), whose sum is σ = 4715948160. Its totient is φ = 920125440.

The previous prime is 2091202039. The next prime is 2091202051. The reversal of 2091202048 is 8402021902.

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, 21558736 + ... + 21558832.

It is an arithmetic number, because the mean of its divisors is an integer number (29474676).

Almost surely, 22091202048 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 2091202048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357974080).

2091202048 is an abundant number, since it is smaller than the sum of its proper divisors (2624746112).

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

2091202048 is an equidigital number, since it uses as much as digits as its factorization.

2091202048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 2091202048 is about 45729.6626709623. The cubic root of 2091202048 is about 1278.7883325458.

The spelling of 2091202048 in words is "two billion, ninety-one million, two hundred two thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 79 82 97 104 128 158 164 194 208 256 316 328 388 416 512 533 632 656 776 832 1027 1066 1261 1264 1312 1552 1664 2054 2132 2522 2528 2624 3104 3239 3328 3977 4108 4264 5044 5056 5248 6208 6478 6656 7663 7954 8216 8528 10088 10112 10496 12416 12956 15326 15908 16432 17056 20176 20224 20992 24832 25912 30652 31816 32864 34112 40352 40448 42107 49664 51701 51824 61304 63632 65728 68224 80704 84214 99619 103402 103648 122608 127264 131456 136448 161408 168428 199238 206804 207296 245216 254528 262912 272896 314183 322816 336856 398476 413608 414592 490432 509056 525824 628366 645632 673712 796952 827216 829184 980864 1018112 1256732 1347424 1593904 1654432 1658368 1961728 2036224 2513464 2694848 3187808 3308864 3923456 4084379 5026928 5389696 6375616 6617728 8168758 10053856 10779392 12751232 13235456 16337516 20107712 21558784 25502464 26470912 32675032 40215424 51004928 65350064 80430848 130700128 160861696 261400256 522800512 1045601024 2091202048