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168637245952 = 29727698741
BaseRepresentation
bin1001110100001110010…
…0000010101000000000
3121010021121201201000011
42131003210002220000
510230332113332302
6205245413234304
715116662640200
oct2350344025000
9533247651004
10168637245952
116557836895a
1228824332994
1312b96819746
14823aa9c400
1545bedb15d7
hex2743902a00

168637245952 has 120 divisors (see below), whose sum is σ = 392511166740. Its totient is φ = 72170864640.

The previous prime is 168637245947. The next prime is 168637245971. The reversal of 168637245952 is 259542736861.

It can be written as a sum of positive squares in 2 ways, for example, as 160140830976 + 8496414976 = 400176^2 + 92176^2 .

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, 19288302 + ... + 19297042.

Almost surely, 2168637245952 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 168637245952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196255583370).

168637245952 is an abundant number, since it is smaller than the sum of its proper divisors (223873920788).

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

168637245952 is an frugal number, since it uses more digits than its factorization.

168637245952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9542 (or 9519 counting only the distinct ones).

The product of its digits is 21772800, while the sum is 58.

The spelling of 168637245952 in words is "one hundred sixty-eight billion, six hundred thirty-seven million, two hundred forty-five thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 769 784 896 1538 1568 1792 3076 3136 3584 5383 6152 6272 8741 10766 12304 12544 17482 21532 24608 25088 34964 37681 43064 49216 61187 69928 75362 86128 98432 122374 139856 150724 172256 196864 244748 279712 301448 344512 393728 428309 489496 559424 602896 689024 856618 978992 1118848 1205792 1378048 1713236 1957984 2237696 2411584 2756096 3426472 3915968 4475392 4823168 6721829 6852944 7831936 9646336 13443658 13705888 15663872 19292672 26887316 27411776 31327744 47052803 53774632 54823552 94105606 107549264 109647104 188211212 215098528 219294208 329369621 376422424 430197056 658739242 752844848 860394112 1317478484 1505689696 1720788224 2634956968 3011379392 3441576448 5269913936 6022758784 10539827872 12045517568 21079655744 24091035136 42159311488 84318622976 168637245952