Search a number
-
+
1011939056576 = 2674397541547
BaseRepresentation
bin11101011100111000100…
…01001001101111000000
310120201222202212100011122
432232130101021233000
5113034422344302301
62052513421531412
7133052536026110
oct16563421115700
93521882770148
101011939056576
113601852418a8
12144154413b68
137456b912b66
1436d99d1d040
151b4c999981b
hexeb9c449bc0

1011939056576 has 112 divisors (see below), whose sum is σ = 2372517455616. Its totient is φ = 419234586624.

The previous prime is 1011939056537. The next prime is 1011939056587. The reversal of 1011939056576 is 6756509391101.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1597835 + ... + 2139381.

It is an arithmetic number, because the mean of its divisors is an integer number (21183191568).

Almost surely, 21011939056576 is an apocalyptic number.

1011939056576 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 1011939056576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186258727808).

1011939056576 is an abundant number, since it is smaller than the sum of its proper divisors (1360578399040).

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

1011939056576 is an equidigital number, since it uses as much as digits as its factorization.

1011939056576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541706 (or 541696 counting only the distinct ones).

The product of its (nonzero) digits is 1530900, while the sum is 53.

The spelling of 1011939056576 in words is "one trillion, eleven billion, nine hundred thirty-nine million, fifty-six thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 97 112 172 194 224 301 344 388 448 602 679 688 776 1204 1358 1376 1552 2408 2716 2752 3104 4171 4816 5432 6208 8342 9632 10864 16684 19264 21728 29197 33368 43456 58394 66736 116788 133472 233576 266944 467152 541547 934304 1083094 1868608 2166188 3790829 4332376 7581658 8664752 15163316 17329504 23286521 30326632 34659008 46573042 52530059 60653264 93146084 105060118 121306528 163005647 186292168 210120236 242613056 326011294 367710413 372584336 420240472 652022588 735420826 745168672 840480944 1304045176 1470841652 1490337344 1680961888 2258792537 2608090352 2941683304 3361923776 4517585074 5216180704 5883366608 9035170148 10432361408 11766733216 15811547759 18070340296 23533466432 31623095518 36140680592 63246191036 72281361184 126492382072 144562722368 252984764144 505969528288 1011939056576