Search a number
-
+
40925678976 = 273571319761
BaseRepresentation
bin100110000111010111…
…000100110110000000
310220122011212220100000
4212013113010312000
51132303433211401
630445003200000
72646114350220
oct460727046600
9126564786300
1040925678976
11163a152a396
127b21b16000
133b22a9a1c0
141da34d0080
1510e7dd7186
hex9875c4d80

40925678976 has 768 divisors, whose sum is σ = 158432601600. Its totient is φ = 10212065280.

The previous prime is 40925678939. The next prime is 40925678993. The reversal of 40925678976 is 67987652904.

40925678976 is a `hidden beast` number, since 409 + 25 + 67 + 89 + 76 = 666.

It is a super-2 number, since 2×409256789762 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53778436 + ... + 53779196.

It is an arithmetic number, because the mean of its divisors is an integer number (206292450).

Almost surely, 240925678976 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 40925678976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79216300800).

40925678976 is an abundant number, since it is smaller than the sum of its proper divisors (117506922624).

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

40925678976 is a wasteful number, since it uses less digits than its factorization.

40925678976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 40925678976 in words is "forty billion, nine hundred twenty-five million, six hundred seventy-eight thousand, nine hundred seventy-six".