Search a number
-
+
1072334750736 = 2432383131157569
BaseRepresentation
bin11111001101011000010…
…00011100010000010000
310210111212212000111021010
433212230020130100100
5120032120144010421
62140342423130520
7140321311663104
oct17465410342020
93714785014233
101072334750736
11383858013827
121539aa8a3a40
137a1753347b2
1439c89175904
151cd61d10076
hexf9ac21c410

1072334750736 has 320 divisors, whose sum is σ = 2971789793280. Its totient is φ = 332485570560.

The previous prime is 1072334750677. The next prime is 1072334750789. The reversal of 1072334750736 is 6370574332701.

It is a super-2 number, since 2×10723347507362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1884595060 + ... + 1884595628.

It is an arithmetic number, because the mean of its divisors is an integer number (9286843104).

Almost surely, 21072334750736 is an apocalyptic number.

1072334750736 is a gapful number since it is divisible by the number (16) 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 1072334750736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485894896640).

1072334750736 is an abundant number, since it is smaller than the sum of its proper divisors (1899455042544).

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

1072334750736 is a wasteful number, since it uses less digits than its factorization.

1072334750736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 2222640, while the sum is 48.

The spelling of 1072334750736 in words is "one trillion, seventy-two billion, three hundred thirty-four million, seven hundred fifty thousand, seven hundred thirty-six".