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2068378632 = 233347792579
BaseRepresentation
bin111101101001000…
…1111010000001000
312100011000112002000
41323102033100020
513214001104012
6541124311000
7102153633255
oct17322172010
95304015060
102068378632
11971600531
12498842460
1326c698ba8
141589b842c
15c18bcddc
hex7b48f408

2068378632 has 128 divisors (see below), whose sum is σ = 5944320000. Its totient is φ = 665990208.

The previous prime is 2068378607. The next prime is 2068378633. The reversal of 2068378632 is 2368738602.

2068378632 is a `hidden beast` number, since 2 + 0 + 6 + 8 + 3 + 7 + 8 + 632 = 666.

It is not an unprimeable number, because it can be changed into a prime (2068378633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 800719 + ... + 803297.

It is an arithmetic number, because the mean of its divisors is an integer number (46440000).

Almost surely, 22068378632 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 2068378632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972160000).

2068378632 is an abundant number, since it is smaller than the sum of its proper divisors (3875941368).

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

2068378632 is a wasteful number, since it uses less digits than its factorization.

2068378632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2720 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 2068378632 is about 45479.4308671514. The cubic root of 2068378632 is about 1274.1190648324.

The spelling of 2068378632 in words is "two billion, sixty-eight million, three hundred seventy-eight thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 79 94 108 141 158 188 216 237 282 316 376 423 474 564 632 711 846 948 1128 1269 1422 1692 1896 2133 2538 2579 2844 3384 3713 4266 5076 5158 5688 7426 7737 8532 10152 10316 11139 14852 15474 17064 20632 22278 23211 29704 30948 33417 44556 46422 61896 66834 69633 89112 92844 100251 121213 133668 139266 185688 200502 203741 242426 267336 278532 363639 401004 407482 484852 557064 611223 727278 802008 814964 969704 1090917 1222446 1454556 1629928 1833669 2181834 2444892 2909112 3272751 3667338 4363668 4889784 5501007 6545502 7334676 8727336 9575827 11002014 13091004 14669352 19151654 22004028 26182008 28727481 38303308 44008056 57454962 76606616 86182443 114909924 172364886 229819848 258547329 344729772 517094658 689459544 1034189316 2068378632