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20878377264 = 24357373561
BaseRepresentation
bin10011011100011100…
…101100000100110000
31222220001100110100000
4103130130230010300
5320224331033024
613331424030000
71336246164363
oct233434540460
958801313300
1020878377264
118944332948
124068162300
131c796703b4
141020c140da
15822e25cc9
hex4dc72c130

20878377264 has 120 divisors (see below), whose sum is σ = 61425446992. Its totient is φ = 6864030720.

The previous prime is 20878377227. The next prime is 20878377277. The reversal of 20878377264 is 46277387802.

20878377264 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 8 + 377 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20878377264.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 247044 + ... + 320604.

Almost surely, 220878377264 is an apocalyptic number.

20878377264 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 20878377264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30712723496).

20878377264 is an abundant number, since it is smaller than the sum of its proper divisors (40547069728).

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

20878377264 is an equidigital number, since it uses as much as digits as its factorization.

20878377264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73657 (or 73639 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 20878377264 in words is "twenty billion, eight hundred seventy-eight million, three hundred seventy-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 81 108 144 146 162 216 219 243 292 324 432 438 486 584 648 657 876 972 1168 1296 1314 1752 1944 1971 2628 3504 3888 3942 5256 5913 7884 10512 11826 15768 17739 23652 31536 35478 47304 70956 73561 94608 141912 147122 220683 283824 294244 441366 588488 662049 882732 1176976 1324098 1765464 1986147 2648196 3530928 3972294 5296392 5369953 5958441 7944588 10592784 10739906 11916882 15889176 16109859 17875323 21479812 23833764 31778352 32219718 35750646 42959624 47667528 48329577 64439436 71501292 85919248 95335056 96659154 128878872 143002584 144988731 193318308 257757744 286005168 289977462 386636616 434966193 579954924 773273232 869932386 1159909848 1304898579 1739864772 2319819696 2609797158 3479729544 5219594316 6959459088 10439188632 20878377264