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20880177960 = 23352514331601
BaseRepresentation
bin10011011100100011…
…100011101100101000
31222220011201221102110
4103130203203230220
5320230311143320
613331530402320
71336300404255
oct233443435450
958804657373
1020880177960
118945352824
1240688903a0
131c79b50bb5
14102116242c
1582317e5e0
hex4dc8e3b28

20880177960 has 128 divisors (see below), whose sum is σ = 63074712960. Its totient is φ = 5529600000.

The previous prime is 20880177907. The next prime is 20880177977. The reversal of 20880177960 is 6977108802.

It is an unprimeable number.

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, 13041160 + ... + 13042760.

It is an arithmetic number, because the mean of its divisors is an integer number (492771195).

Almost surely, 220880177960 is an apocalyptic number.

20880177960 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 20880177960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31537356480).

20880177960 is an abundant number, since it is smaller than the sum of its proper divisors (42194535000).

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

20880177960 is a wasteful number, since it uses less digits than its factorization.

20880177960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2295 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 48.

The spelling of 20880177960 in words is "twenty billion, eight hundred eighty million, one hundred seventy-seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 251 433 502 753 866 1004 1255 1299 1506 1601 1732 2008 2165 2510 2598 3012 3202 3464 3765 4330 4803 5020 5196 6024 6404 6495 7530 8005 8660 9606 10040 10392 12808 12990 15060 16010 17320 19212 24015 25980 30120 32020 38424 48030 51960 64040 96060 108683 192120 217366 326049 401851 434732 543415 652098 693233 803702 869464 1086830 1205553 1304196 1386466 1607404 1630245 2009255 2079699 2173660 2411106 2608392 2772932 3214808 3260490 3466165 4018510 4159398 4347320 4822212 5545864 6027765 6520980 6932330 8037020 8318796 9644424 10398495 12055530 13041960 13864660 16074040 16637592 20796990 24111060 27729320 41593980 48222120 83187960 174001483 348002966 522004449 696005932 870007415 1044008898 1392011864 1740014830 2088017796 2610022245 3480029660 4176035592 5220044490 6960059320 10440088980 20880177960