Search a number
-
+
66831854000 = 2453194493917
BaseRepresentation
bin111110001111011111…
…010010100110110000
320101111121220221120212
4332033133102212300
52043332423312000
650411354323252
74554104246252
oct761737224660
9211447827525
1066831854000
112638592609a
1210b51a29528
1363c0c7c952
14333dd5dcd2
151b12405c35
hexf8f7d29b0

66831854000 has 160 divisors (see below), whose sum is σ = 170527032000. Its totient is φ = 25262899200.

The previous prime is 66831853997. The next prime is 66831854003. The reversal of 66831854000 is 45813866.

It is an interprime number because it is at equal distance from previous prime (66831853997) and next prime (66831854003).

It is not an unprimeable number, because it can be changed into a prime (66831854003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17060042 + ... + 17063958.

It is an arithmetic number, because the mean of its divisors is an integer number (1065793950).

Almost surely, 266831854000 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 66831854000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85263516000).

66831854000 is an abundant number, since it is smaller than the sum of its proper divisors (103695178000).

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

66831854000 is a wasteful number, since it uses less digits than its factorization.

66831854000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4408 (or 4392 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 41.

The spelling of 66831854000 in words is "sixty-six billion, eight hundred thirty-one million, eight hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 449 475 500 760 898 950 1000 1520 1796 1900 2000 2245 2375 3592 3800 3917 4490 4750 7184 7600 7834 8531 8980 9500 11225 15668 17062 17960 19000 19585 22450 31336 34124 35920 38000 39170 42655 44900 56125 62672 68248 74423 78340 85310 89800 97925 112250 136496 148846 156680 170620 179600 195850 213275 224500 297692 313360 341240 372115 391700 426550 449000 489625 595384 682480 744230 783400 853100 898000 979250 1066375 1190768 1488460 1566800 1706200 1758733 1860575 1958500 2132750 2976920 3412400 3517466 3721150 3917000 4265500 5953840 7034932 7442300 7834000 8531000 8793665 9302875 14069864 14884600 17062000 17587330 18605750 28139728 29769200 33415927 35174660 37211500 43968325 66831854 70349320 74423000 87936650 133663708 140698640 148846000 167079635 175873300 219841625 267327416 334159270 351746600 439683250 534654832 668318540 703493200 835398175 879366500 1336637080 1670796350 1758733000 2673274160 3341592700 3517466000 4176990875 6683185400 8353981750 13366370800 16707963500 33415927000 66831854000