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168446717152 = 25729197913103
BaseRepresentation
bin1001110011100000110…
…1001110110011100000
3121002210100012211121221
42130320031032303200
510224434324422102
6205214445424424
715112160320510
oct2347015166340
9532710184557
10168446717152
116548a86483a
122879056b114
1312b661ca3cc
14821d663840
1545ad2c8637
hex273834ece0

168446717152 has 96 divisors (see below), whose sum is σ = 392302310400. Its totient is φ = 69661552128.

The previous prime is 168446717147. The next prime is 168446717171. The reversal of 168446717152 is 251717644861.

It is a super-2 number, since 2×1684467171522 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 168446717152.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12849033 + ... + 12862135.

It is an arithmetic number, because the mean of its divisors is an integer number (4086482400).

Almost surely, 2168446717152 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 168446717152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196151155200).

168446717152 is an abundant number, since it is smaller than the sum of its proper divisors (223855593248).

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

168446717152 is a wasteful number, since it uses less digits than its factorization.

168446717152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15128 (or 15120 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 52.

The spelling of 168446717152 in words is "one hundred sixty-eight billion, four hundred forty-six million, seven hundred seventeen thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 1979 3248 3958 6496 7916 13103 13853 15832 26206 27706 31664 52412 55412 57391 63328 91721 104824 110824 114782 183442 209648 221648 229564 366884 379987 401737 419296 443296 459128 733768 759974 803474 918256 1467536 1519948 1606948 1836512 2659909 2935072 3039896 3213896 5319818 6079792 6427792 10639636 12159584 12855584 21279272 25930837 42558544 51861674 85117088 103723348 181515859 207446696 363031718 414893392 726063436 751994273 829786784 1452126872 1503988546 2904253744 3007977092 5263959911 5808507488 6015954184 10527919822 12031908368 21055839644 24063816736 42111679288 84223358576 168446717152