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2664467136 = 26344311953
BaseRepresentation
bin1001111011010000…
…1000101011000000
320212200122221210000
42132310020223000
520424100422021
61120220440000
7123012411522
oct23664105300
96780587700
102664467136
111148027661
126243a9000
13336025296
141b3c23a12
15108db6b26
hex9ed08ac0

2664467136 has 140 divisors (see below), whose sum is σ = 8082673192. Its totient is φ = 867428352.

The previous prime is 2664467119. The next prime is 2664467173. The reversal of 2664467136 is 6317644662.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2664467091 and 2664467100.

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 19 ways as a sum of consecutive naturals, for example, 216936 + ... + 228888.

Almost surely, 22664467136 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 2664467136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4041336596).

2664467136 is an abundant number, since it is smaller than the sum of its proper divisors (5418206056).

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

2664467136 is a wasteful number, since it uses less digits than its factorization.

2664467136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12020 (or 12001 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 2664467136 is about 51618.4766919753. The cubic root of 2664467136 is about 1386.3411764806.

The spelling of 2664467136 in words is "two billion, six hundred sixty-four million, four hundred sixty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 81 86 96 108 129 144 162 172 192 216 258 288 324 344 387 432 516 576 648 688 774 864 1032 1161 1296 1376 1548 1728 2064 2322 2592 2752 3096 3483 4128 4644 5184 6192 6966 8256 9288 11953 12384 13932 18576 23906 24768 27864 35859 37152 47812 55728 71718 74304 95624 107577 111456 143436 191248 215154 222912 286872 322731 382496 430308 513979 573744 645462 764992 860616 968193 1027958 1147488 1290924 1541937 1721232 1936386 2055916 2294976 2581848 3083874 3442464 3872772 4111832 4625811 5163696 6167748 6884928 7745544 8223664 9251622 10327392 12335496 13877433 15491088 16447328 18503244 20654784 24670992 27754866 30982176 32894656 37006488 41632299 49341984 55509732 61964352 74012976 83264598 98683968 111019464 148025952 166529196 222038928 296051904 333058392 444077856 666116784 888155712 1332233568 2664467136