Search a number
-
+
748365364656 = 243472132103677
BaseRepresentation
bin10101110001111100000…
…11010011110110110000
32122112122212110111020000
422320332003103312300
544230123013132111
61331443322550000
7105032122433400
oct12707603236660
92575585414200
10748365364656
1126941a813a48
12101056068300
1355755668100
14283148c6800
15147001aac56
hexae3e0d3db0

748365364656 has 900 divisors, whose sum is σ = 2758900530672. Its totient is φ = 195166153728.

The previous prime is 748365364589. The next prime is 748365364711. The reversal of 748365364656 is 656463563847.

748365364656 is a `hidden beast` number, since 7 + 4 + 8 + 3 + 6 + 536 + 46 + 56 = 666.

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

Its product of digits (261273600) is a multiple of the sum of its prime factors (840).

It is a junction number, because it is equal to n+sod(n) for n = 748365364593 and 748365364602.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 1105413790 + ... + 1105414466.

Almost surely, 2748365364656 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 748365364656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379450265336).

748365364656 is an abundant number, since it is smaller than the sum of its proper divisors (2010535166016).

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

748365364656 is a wasteful number, since it uses less digits than its factorization.

748365364656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 805 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 63.

The spelling of 748365364656 in words is "seven hundred forty-eight billion, three hundred sixty-five million, three hundred sixty-four thousand, six hundred fifty-six".