Search a number
-
+
20857714878 = 237111313725349
BaseRepresentation
bin10011011011001101…
…110111100010111110
31222211121110200212110
4103123031313202332
5320204033334003
613325405114450
71335605436240
oct233315674276
958747420773
1020857714878
1189336aa9a0
124061258a26
131c752b7630
14101c196090
158211e3a03
hex4db3778be

20857714878 has 128 divisors (see below), whose sum is σ = 56420582400. Its totient is φ = 4964152320.

The previous prime is 20857714847. The next prime is 20857714897. The reversal of 20857714878 is 87841775802.

It is a super-3 number, since 3×208577148783 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 810148 + ... + 835496.

It is an arithmetic number, because the mean of its divisors is an integer number (440785800).

Almost surely, 220857714878 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20857714878, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28210291200).

20857714878 is an abundant number, since it is smaller than the sum of its proper divisors (35562867522).

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

20857714878 is a wasteful number, since it uses less digits than its factorization.

20857714878 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25522.

The product of its (nonzero) digits is 7024640, while the sum is 57.

The spelling of 20857714878 in words is "twenty billion, eight hundred fifty-seven million, seven hundred fourteen thousand, eight hundred seventy-eight".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 137 143 154 182 231 273 274 286 411 429 462 546 822 858 959 1001 1507 1781 1918 2002 2877 3003 3014 3562 4521 5343 5754 6006 9042 10549 10686 12467 19591 21098 24934 25349 31647 37401 39182 50698 58773 63294 74802 76047 117546 137137 152094 177443 274274 278839 329537 354886 411411 532329 557678 659074 822822 836517 988611 1064658 1673034 1951873 1977222 2306759 3472813 3624907 3903746 4613518 5855619 6920277 6945626 7249814 10418439 10874721 11711238 13840554 20836878 21749442 24309691 25374349 38200943 45146569 48619382 50748698 72929073 76123047 76401886 90293138 114602829 135439707 145858146 152246094 229205658 267406601 270879414 316025983 496612259 534813202 632051966 802219803 948077949 993224518 1489836777 1604439606 1896155898 2979673554 3476285813 6952571626 10428857439 20857714878