Search a number
-
+
74402837591040 = 21033572106310333
BaseRepresentation
bin10000111010101101000010…
…101101000111010000000000
3100202102211201200022101212000
4100322231002231013100000
534223004002410403130
6422124105225104000
721446266450461300
oct2072550255072000
9322384650271760
1074402837591040
1121786080162252
128417927928000
133269207c9cc0a
14145318bb75600
158905c655c260
hex43ab42b47400

74402837591040 has 1056 divisors, whose sum is σ = 307903074312960. Its totient is φ = 16988720136192.

The previous prime is 74402837591021. The next prime is 74402837591041. The reversal of 74402837591040 is 4019573820447.

74402837591040 is a `hidden beast` number, since 7 + 4 + 4 + 0 + 2 + 8 + 3 + 7 + 591 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74402837591041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7200501714 + ... + 7200512046.

Almost surely, 274402837591040 is an apocalyptic number.

74402837591040 is a gapful number since it is divisible by the number (70) 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 74402837591040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153951537156480).

74402837591040 is an abundant number, since it is smaller than the sum of its proper divisors (233500236721920).

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

74402837591040 is a wasteful number, since it uses less digits than its factorization.

74402837591040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11444 (or 11413 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 74402837591040 in words is "seventy-four trillion, four hundred two billion, eight hundred thirty-seven million, five hundred ninety-one thousand, forty".