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2668207104 = 21032436733
BaseRepresentation
bin1001111100001001…
…1001110000000000
320212221200222001100
42133002121300000
520431030111404
61120432534400
7123056246313
oct23702316000
96787628040
102668207104
11114a151542
126256b1400
13336a34694
141b451897a
151093a4d39
hex9f099c00

2668207104 has 132 divisors (see below), whose sum is σ = 7884732856. Its totient is φ = 868589568.

The previous prime is 2668207079. The next prime is 2668207121. The reversal of 2668207104 is 4017028662.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 392922 + ... + 399654.

Almost surely, 22668207104 is an apocalyptic number.

2668207104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668207104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3942366428).

2668207104 is an abundant number, since it is smaller than the sum of its proper divisors (5216525752).

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

2668207104 is a wasteful number, since it uses less digits than its factorization.

2668207104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6802 (or 6781 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2668207104 is about 51654.6910164024. The cubic root of 2668207104 is about 1386.9895172000.

The spelling of 2668207104 in words is "two billion, six hundred sixty-eight million, two hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 256 258 288 344 384 387 512 516 576 688 768 774 1024 1032 1152 1376 1536 1548 2064 2304 2752 3072 3096 4128 4608 5504 6192 6733 8256 9216 11008 12384 13466 16512 20199 22016 24768 26932 33024 40398 44032 49536 53864 60597 66048 80796 99072 107728 121194 132096 161592 198144 215456 242388 289519 323184 396288 430912 484776 579038 646368 861824 868557 969552 1158076 1292736 1723648 1737114 1939104 2316152 2585472 2605671 3447296 3474228 3878208 4632304 5170944 5211342 6894592 6948456 7756416 9264608 10341888 10422684 13896912 15512832 18529216 20683776 20845368 27793824 31025664 37058432 41690736 55587648 62051328 74116864 83381472 111175296 148233728 166762944 222350592 296467456 333525888 444701184 667051776 889402368 1334103552 2668207104