Search a number
-
+
874740106240 = 210571113219691
BaseRepresentation
bin11001011101010101001…
…00101100010000000000
310002121212010211112012121
430232222210230100000
5103312431431344430
61505503340134024
7120124606136260
oct14565244542000
93077763745177
10874740106240
11307a7aa92840
12121644837314
1364645457b00
14304a27097a0
1517b49b1da7a
hexcbaa92c400

874740106240 has 1056 divisors, whose sum is σ = 2986259235840. Its totient is φ = 238082457600.

The previous prime is 874740106217. The next prime is 874740106283. The reversal of 874740106240 is 42601047478.

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, 1265904295 + ... + 1265904985.

Almost surely, 2874740106240 is an apocalyptic number.

874740106240 is a gapful number since it is divisible by the number (80) 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 874740106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1493129617920).

874740106240 is an abundant number, since it is smaller than the sum of its proper divisors (2111519129600).

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

874740106240 is a wasteful number, since it uses less digits than its factorization.

874740106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 43.

The spelling of 874740106240 in words is "eight hundred seventy-four billion, seven hundred forty million, one hundred six thousand, two hundred forty".