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26470496680 = 23517236725261
BaseRepresentation
bin11000101001110000…
…111011100110101000
32112022202220120000221
4120221300323212220
5413202421343210
620054350335424
71624651336465
oct305160734650
975282816027
1026470496680
11102539a5a41
125168aba574
13265b0988b4
1413d17aa66c
15a4dd401da
hex629c3b9a8

26470496680 has 128 divisors (see below), whose sum is σ = 66788686080. Its totient is φ = 9389445120.

The previous prime is 26470496677. The next prime is 26470496681. The reversal of 26470496680 is 8669407462.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (26470496681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035250 + ... + 1060510.

It is an arithmetic number, because the mean of its divisors is an integer number (521786610).

Almost surely, 226470496680 is an apocalyptic number.

26470496680 is a gapful number since it is divisible by the number (20) 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 26470496680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33394343040).

26470496680 is an abundant number, since it is smaller than the sum of its proper divisors (40318189400).

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

26470496680 is a wasteful number, since it uses less digits than its factorization.

26470496680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25379 (or 25375 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 52.

The spelling of 26470496680 in words is "twenty-six billion, four hundred seventy million, four hundred ninety-six thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 67 68 85 92 115 134 136 170 184 230 268 335 340 391 460 536 670 680 782 920 1139 1340 1541 1564 1955 2278 2680 3082 3128 3910 4556 5695 6164 7705 7820 9112 11390 12328 15410 15640 22780 25261 26197 30820 45560 50522 52394 61640 101044 104788 126305 130985 202088 209576 252610 261970 429437 505220 523940 581003 858874 1010440 1047880 1162006 1692487 1717748 2147185 2324012 2905015 3384974 3435496 4294370 4648024 5810030 6769948 8462435 8588740 9877051 11620060 13539896 16924870 17177480 19754102 23240120 28772279 33849740 38927201 39508204 49385255 57544558 67699480 77854402 79016408 98770510 115089116 143861395 155708804 194636005 197541020 230178232 287722790 311417608 389272010 395082040 575445580 661762417 778544020 1150891160 1323524834 1557088040 2647049668 3308812085 5294099336 6617624170 13235248340 26470496680