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11389711968 = 253416092731
BaseRepresentation
bin10101001101110000…
…10011011001100000
31002101202202022120000
422212320103121200
5141311231240333
65122105020000
7552150645225
oct124670233140
932352668500
1011389711968
1149152171a8
12225a484600
1310c68a624b
147a095794c
15469dbe713
hex2a6e13660

11389711968 has 120 divisors (see below), whose sum is σ = 33529917960. Its totient is φ = 3792821760.

The previous prime is 11389711939. The next prime is 11389711999. The reversal of 11389711968 is 86911798311.

11389711968 is a `hidden beast` number, since 1 + 1 + 389 + 71 + 196 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4169163 + ... + 4171893.

It is an arithmetic number, because the mean of its divisors is an integer number (279415983).

Almost surely, 211389711968 is an apocalyptic number.

11389711968 is a gapful number since it is divisible by the number (18) 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 11389711968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16764958980).

11389711968 is an abundant number, since it is smaller than the sum of its proper divisors (22140205992).

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

11389711968 is a wasteful number, since it uses less digits than its factorization.

11389711968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4362 (or 4345 counting only the distinct ones).

The product of its digits is 653184, while the sum is 54.

The spelling of 11389711968 in words is "eleven billion, three hundred eighty-nine million, seven hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 1609 2592 2731 3218 4827 5462 6436 8193 9654 10924 12872 14481 16386 19308 21848 24579 25744 28962 32772 38616 43443 43696 49158 51488 57924 65544 73737 77232 86886 87392 98316 115848 130329 131088 147474 154464 173772 196632 221211 231696 260658 262176 294948 347544 393264 442422 463392 521316 589896 695088 786528 884844 1042632 1179792 1390176 1769688 2085264 2359584 3539376 4170528 4394179 7078752 8788358 13182537 17576716 26365074 35153432 39547611 52730148 70306864 79095222 105460296 118642833 140613728 158190444 210920592 237285666 316380888 355928499 421841184 474571332 632761776 711856998 949142664 1265523552 1423713996 1898285328 2847427992 3796570656 5694855984 11389711968