Search a number
-
+
740472606720 = 21234571121731
BaseRepresentation
bin10101100011001111001…
…10110101000000000000
32121210021210211211210000
422301213212311000000
544112441441403340
61324100213440000
7104332413210330
oct12614746650000
92553253754700
10740472606720
1126603a534100
12bb612940000
1354a98402c42
1427ba65770c0
15143dc2e5d30
hexac679b5000

740472606720 has 3120 divisors, whose sum is σ = 3644497511424. Its totient is φ = 140142182400.

The previous prime is 740472606691. The next prime is 740472606739. The reversal of 740472606720 is 27606274047.

740472606720 is a `hidden beast` number, since 7 + 40 + 472 + 60 + 67 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23886213105 + ... + 23886213135.

Almost surely, 2740472606720 is an apocalyptic number.

740472606720 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 740472606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1822248755712).

740472606720 is an abundant number, since it is smaller than the sum of its proper divisors (2904024904704).

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

740472606720 is a wasteful number, since it uses less digits than its factorization.

740472606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 740472606720 in words is "seven hundred forty billion, four hundred seventy-two million, six hundred six thousand, seven hundred twenty".