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11441257155552 = 253717025680291
BaseRepresentation
bin1010011001111110000000…
…0100011000101111100000
31111111202212212211201000110
42212133200010120233200
52444423143312434202
640200012503451320
72260414006132560
oct246374004305740
944452785751013
1011441257155552
113711234433984
121349485a56b40
1364cba13cb473
142b7a8cc72da0
1514c93011526c
hexa67e0118be0

11441257155552 has 48 divisors (see below), whose sum is σ = 34323771468672. Its totient is φ = 3268930615680.

The previous prime is 11441257155533. The next prime is 11441257155557. The reversal of 11441257155552 is 25555175214411.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11441257155557) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8512839474 + ... + 8512840817.

It is an arithmetic number, because the mean of its divisors is an integer number (715078572264).

Almost surely, 211441257155552 is an apocalyptic number.

11441257155552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11441257155552 is an abundant number, since it is smaller than the sum of its proper divisors (22882514313120).

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

11441257155552 is a wasteful number, since it uses less digits than its factorization.

11441257155552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17025680311 (or 17025680303 counting only the distinct ones).

The product of its digits is 1400000, while the sum is 48.

The spelling of 11441257155552 in words is "eleven trillion, four hundred forty-one billion, two hundred fifty-seven million, one hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 17025680291 34051360582 51077040873 68102721164 102154081746 119179762037 136205442328 204308163492 238359524074 272410884656 357539286111 408616326984 476719048148 544821769312 715078572222 817232653968 953438096296 1430157144444 1634465307936 1906876192592 2860314288888 3813752385184 5720628577776 11441257155552