Search a number
-
+
23977669680 = 2433590712239
BaseRepresentation
bin10110010101001011…
…100011010000110000
32021220001012211021000
4112111023203100300
5343101240412210
615003140402000
71506121554336
oct262513432060
967801184230
1023977669680
11a194851138
1247920a6300
1323517ab333
1412366a5b56
1595507eac0
hex5952e3430

23977669680 has 160 divisors (see below), whose sum is σ = 82687564800. Its totient is φ = 6386473728.

The previous prime is 23977669657. The next prime is 23977669693. The reversal of 23977669680 is 8696677932.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1953001 + ... + 1965239.

It is an arithmetic number, because the mean of its divisors is an integer number (516797280).

Almost surely, 223977669680 is an apocalyptic number.

23977669680 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 23977669680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41343782400).

23977669680 is an abundant number, since it is smaller than the sum of its proper divisors (58709895120).

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

23977669680 is a wasteful number, since it uses less digits than its factorization.

23977669680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13168 (or 13156 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 23977669680 in words is "twenty-three billion, nine hundred seventy-seven million, six hundred sixty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 907 1080 1814 2160 2721 3628 4535 5442 7256 8163 9070 10884 12239 13605 14512 16326 18140 21768 24478 24489 27210 32652 36280 36717 40815 43536 48956 48978 54420 61195 65304 72560 73434 81630 97912 97956 108840 110151 122390 122445 130608 146868 163260 183585 195824 195912 217680 220302 244780 244890 293736 326520 330453 367170 391824 440604 489560 489780 550755 587472 653040 660906 734340 881208 979120 979560 1101510 1321812 1468680 1652265 1762416 1959120 2203020 2643624 2937360 3304530 4406040 5287248 6609060 8812080 11100773 13218120 22201546 26436240 33302319 44403092 55503865 66604638 88806184 99906957 111007730 133209276 166511595 177612368 199813914 222015460 266418552 299720871 333023190 399627828 444030920 499534785 532837104 599441742 666046380 799255656 888061840 999069570 1198883484 1332092760 1498604355 1598511312 1998139140 2397766968 2664185520 2997208710 3996278280 4795533936 5994417420 7992556560 11988834840 23977669680