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2132078976 = 27334314347
BaseRepresentation
bin111111100010100…
…1111000110000000
312111120212211112000
41333011033012000
513331303011401
6551321504000
7103556241456
oct17705170600
95446784460
102132078976
119a4559545
124b6042000
1327c9401c1
1416323a9d6
15c72a2186
hex7f14f180

2132078976 has 128 divisors (see below), whose sum is σ = 6439382400. Its totient is φ = 694116864.

The previous prime is 2132078969. The next prime is 2132078983. The reversal of 2132078976 is 6798702312.

It is an interprime number because it is at equal distance from previous prime (2132078969) and next prime (2132078983).

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

It is a super-3 number, since 3×21320789763 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141435 + ... + 155781.

It is an arithmetic number, because the mean of its divisors is an integer number (50307675).

Almost surely, 22132078976 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 2132078976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219691200).

2132078976 is an abundant number, since it is smaller than the sum of its proper divisors (4307303424).

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

2132078976 is a wasteful number, since it uses less digits than its factorization.

2132078976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14413 (or 14395 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2132078976 is about 46174.4407221138. The cubic root of 2132078976 is about 1287.0668240307.

The spelling of 2132078976 in words is "two billion, one hundred thirty-two million, seventy-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 258 288 344 384 387 432 516 576 688 774 864 1032 1152 1161 1376 1548 1728 2064 2322 2752 3096 3456 4128 4644 5504 6192 8256 9288 12384 14347 16512 18576 24768 28694 37152 43041 49536 57388 74304 86082 114776 129123 148608 172164 229552 258246 344328 387369 459104 516492 616921 688656 774738 918208 1032984 1233842 1377312 1549476 1836416 1850763 2065968 2467684 2754624 3098952 3701526 4131936 4935368 5509248 5552289 6197904 7403052 8263872 9870736 11104578 12395808 14806104 16527744 16656867 19741472 22209156 24791616 29612208 33313734 39482944 44418312 49583232 59224416 66627468 78965888 88836624 118448832 133254936 177673248 236897664 266509872 355346496 533019744 710692992 1066039488 2132078976