Search a number
-
+
40777781856 = 253760681223
BaseRepresentation
bin100101111110100010…
…111001001001100000
310220020212120221121220
4211332202321021200
51132003103004411
630422201215040
72642340266250
oct457642711140
9126225527556
1040777781856
1116325aa4069
127aa0491480
133acb256506
141d8b9d1960
1510d9e20b06
hex97e8b9260

40777781856 has 48 divisors (see below), whose sum is σ = 122333347584. Its totient is φ = 11650794624.

The previous prime is 40777781831. The next prime is 40777781873. The reversal of 40777781856 is 65818777704.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 40777781856.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 30339940 + ... + 30341283.

It is an arithmetic number, because the mean of its divisors is an integer number (2548611408).

Almost surely, 240777781856 is an apocalyptic number.

It is an amenable number.

40777781856 is an abundant number, since it is smaller than the sum of its proper divisors (81555565728).

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

40777781856 is a wasteful number, since it uses less digits than its factorization.

40777781856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60681243 (or 60681235 counting only the distinct ones).

The product of its (nonzero) digits is 18439680, while the sum is 60.

The spelling of 40777781856 in words is "forty billion, seven hundred seventy-seven million, seven hundred eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 60681223 121362446 182043669 242724892 364087338 424768561 485449784 728174676 849537122 970899568 1274305683 1456349352 1699074244 1941799136 2548611366 2912698704 3398148488 5097222732 5825397408 6796296976 10194445464 13592593952 20388890928 40777781856