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168728153024 = 26173710340693
BaseRepresentation
bin1001110100100011111…
…0110100101111000000
3121010111221210021001202
42131020332310233000
510231023401344044
6205302421520332
715122145431324
oct2351076645700
9533457707052
10168728153024
1165614709772
122884a8730a8
1312bac5c8502
148248ba3984
1545c7d6bc4e
hex2748fb4bc0

168728153024 has 112 divisors (see below), whose sum is σ = 367640664768. Its totient is φ = 76503564288.

The previous prime is 168728152963. The next prime is 168728153093. The reversal of 168728153024 is 420351827861.

168728153024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 168728153024.

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, 4126022 + ... + 4166714.

Almost surely, 2168728153024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168728153024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183820332384).

168728153024 is an abundant number, since it is smaller than the sum of its proper divisors (198912511744).

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

168728153024 is a wasteful number, since it uses less digits than its factorization.

168728153024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40862 (or 40852 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 47.

The spelling of 168728153024 in words is "one hundred sixty-eight billion, seven hundred twenty-eight million, one hundred fifty-three thousand, twenty-four".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 103 136 148 206 272 296 412 544 592 629 824 1088 1184 1258 1648 1751 2368 2516 3296 3502 3811 5032 6592 7004 7622 10064 14008 15244 20128 28016 30488 40256 40693 56032 60976 64787 81386 112064 121952 129574 162772 243904 259148 325544 518296 651088 691781 1036592 1302176 1383562 1505641 2073184 2604352 2767124 3011282 4146368 4191379 5534248 6022564 8382758 11068496 12045128 16765516 22136992 24090256 25595897 33531032 44273984 48180512 51191794 67062064 71253443 96361024 102383588 134124128 142506886 155081023 204767176 268248256 285013772 310162046 409534352 570027544 620324092 819068704 1140055088 1240648184 1638137408 2280110176 2481296368 2636377391 4560220352 4962592736 5272754782 9925185472 10545509564 21091019128 42182038256 84364076512 168728153024