Search a number
-
+
1076711800896 = 263317139457577
BaseRepresentation
bin11111010101100010000…
…01100100000001000000
310210221011220012200022000
433222301001210001000
5120120101210112041
62142345022344000
7140534631205224
oct17526101440100
93727156180260
101076711800896
113856a3818356
1215481072b000
137a6c20c07c4
143a1825d8784
151d01b213bb6
hexfab1064040

1076711800896 has 448 divisors, whose sum is σ = 3388890758400. Its totient is φ = 334048002048.

The previous prime is 1076711800883. The next prime is 1076711801023. The reversal of 1076711800896 is 6980081176701.

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

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, 1866051360 + ... + 1866051936.

It is an arithmetic number, because the mean of its divisors is an integer number (7564488300).

Almost surely, 21076711800896 is an apocalyptic number.

1076711800896 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 1076711800896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694445379200).

1076711800896 is an abundant number, since it is smaller than the sum of its proper divisors (2312178957504).

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

1076711800896 is a wasteful number, since it uses less digits than its factorization.

1076711800896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 54.

The spelling of 1076711800896 in words is "one trillion, seventy-six billion, seven hundred eleven million, eight hundred thousand, eight hundred ninety-six".