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166645553152 = 2111313074789
BaseRepresentation
bin1001101100110011011…
…0010101100000000000
3120221010211000020010011
42123030312111200000
510212242230200102
6204320024314304
715016426554511
oct2331466254000
9527124006104
10166645553152
1164746085651
1228369312994
1312939cc05b0
1480cc366a08
1545050e02d7
hex26ccd95800

166645553152 has 96 divisors (see below), whose sum is σ = 359190795600. Its totient is φ = 76838436864.

The previous prime is 166645553117. The next prime is 166645553161. The reversal of 166645553152 is 251355546661.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 166645553096 and 166645553105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34795174 + ... + 34799962.

Almost surely, 2166645553152 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 166645553152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179595397800).

166645553152 is an abundant number, since it is smaller than the sum of its proper divisors (192545242448).

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

166645553152 is a wasteful number, since it uses less digits than its factorization.

166645553152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131 (or 6111 counting only the distinct ones).

The product of its digits is 3240000, while the sum is 49.

The spelling of 166645553152 in words is "one hundred sixty-six billion, six hundred forty-five million, five hundred fifty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1307 1664 2048 2614 3328 4789 5228 6656 9578 10456 13312 16991 19156 20912 26624 33982 38312 41824 62257 67964 76624 83648 124514 135928 153248 167296 249028 271856 306496 334592 498056 543712 612992 669184 996112 1087424 1225984 1338368 1992224 2174848 2451968 2676736 3984448 4349696 4903936 6259223 7968896 8699392 9807872 12518446 15937792 17398784 25036892 31875584 34797568 50073784 63751168 81369899 100147568 127502336 162739798 200295136 325479596 400590272 650959192 801180544 1301918384 1602361088 2603836768 3204722176 5207673536 6409444352 10415347072 12818888704 20830694144 41661388288 83322776576 166645553152