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128353211136 = 2832499111641
BaseRepresentation
bin111011110001001110…
…0101001001100000000
3110021022011012200222200
41313202130221030000
54100331410224021
6134544210433200
712162466202433
oct1674234511400
9407264180880
10128353211136
114a4860502a7
1220a61292800
13c146969157
1462d88b581a
1535134c1126
hex1de2729300

128353211136 has 108 divisors (see below), whose sum is σ = 370818903000. Its totient is φ = 42698280960.

The previous prime is 128353211117. The next prime is 128353211167. The reversal of 128353211136 is 631112353821.

128353211136 is a `hidden beast` number, since 1 + 2 + 8 + 3 + 532 + 1 + 113 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 128353211136.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1093876 + ... + 1205516.

Almost surely, 2128353211136 is an apocalyptic number.

128353211136 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 128353211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185409451500).

128353211136 is an abundant number, since it is smaller than the sum of its proper divisors (242465691864).

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

128353211136 is a wasteful number, since it uses less digits than its factorization.

128353211136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112162 (or 112145 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

Adding to 128353211136 its reverse (631112353821), we get a palindrome (759465564957).

The spelling of 128353211136 in words is "one hundred twenty-eight billion, three hundred fifty-three million, two hundred eleven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 499 576 768 998 1152 1497 1996 2304 2994 3992 4491 5988 7984 8982 11976 15968 17964 23952 31936 35928 47904 63872 71856 95808 111641 127744 143712 191616 223282 287424 334923 383232 446564 574848 669846 893128 1004769 1149696 1339692 1786256 2009538 2679384 3572512 4019076 5358768 7145024 8038152 10717536 14290048 16076304 21435072 28580096 32152608 42870144 55708859 64305216 85740288 111417718 128610432 167126577 222835436 257220864 334253154 445670872 501379731 668506308 891341744 1002759462 1337012616 1782683488 2005518924 2674025232 3565366976 4011037848 5348050464 7130733952 8022075696 10696100928 14261467904 16044151392 21392201856 32088302784 42784403712 64176605568 128353211136