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2011913856 = 2733797369
BaseRepresentation
bin111011111101011…
…0101111010000000
312012012202210222000
41313322311322000
513110022220411
6531350144000
7100566662031
oct16772657200
95165683860
102011913856
11942744727
12481952000
13260a89094
141512baa88
15bb967956
hex77eb5e80

2011913856 has 128 divisors (see below), whose sum is σ = 6013920000. Its totient is φ = 662059008.

The previous prime is 2011913837. The next prime is 2011913861. The reversal of 2011913856 is 6583191102.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2011913856.

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, 269340 + ... + 276708.

It is an arithmetic number, because the mean of its divisors is an integer number (46983750).

Almost surely, 22011913856 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 2011913856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006960000).

2011913856 is an abundant number, since it is smaller than the sum of its proper divisors (4002006144).

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

2011913856 is an equidigital number, since it uses as much as digits as its factorization.

2011913856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7471 (or 7453 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 2011913856 is about 44854.3627309541. The cubic root of 2011913856 is about 1262.4178516754.

The spelling of 2011913856 in words is "two billion, eleven million, nine hundred thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 128 144 158 192 216 237 288 316 384 432 474 576 632 711 864 948 1152 1264 1422 1728 1896 2133 2528 2844 3456 3792 4266 5056 5688 7369 7584 8532 10112 11376 14738 15168 17064 22107 22752 29476 30336 34128 44214 45504 58952 66321 68256 88428 91008 117904 132642 136512 176856 198963 235808 265284 273024 353712 397926 471616 530568 582151 707424 795852 943232 1061136 1164302 1414848 1591704 1746453 2122272 2328604 2829696 3183408 3492906 4244544 4657208 5239359 6366816 6985812 8489088 9314416 10478718 12733632 13971624 15718077 18628832 20957436 25467264 27943248 31436154 37257664 41914872 55886496 62872308 74515328 83829744 111772992 125744616 167659488 223545984 251489232 335318976 502978464 670637952 1005956928 2011913856