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166132985472 = 273425396311
BaseRepresentation
bin1001101010111001001…
…1000010111010000000
3120212211002112002110000
42122232103002322000
510210220021013342
6204153114240000
715000634035216
oct2325623027200
9525732462400
10166132985472
11645028149a3
1228245726000
1312887a57ccc
14808025ccb6
1544c50e344c
hex26ae4c2e80

166132985472 has 160 divisors (see below), whose sum is σ = 494682170400. Its totient is φ = 55347079680.

The previous prime is 166132985471. The next prime is 166132985483. The reversal of 166132985472 is 274589231661.

It is a happy number.

166132985472 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 3 + 2 + 98 + 547 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (166132985471) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26321197 + ... + 26327507.

It is an arithmetic number, because the mean of its divisors is an integer number (3091763565).

Almost surely, 2166132985472 is an apocalyptic number.

166132985472 is a gapful number since it is divisible by the number (12) 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 166132985472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247341085200).

166132985472 is an abundant number, since it is smaller than the sum of its proper divisors (328549184928).

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

166132985472 is an equidigital number, since it uses as much as digits as its factorization.

166132985472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8876 (or 8855 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 166132985472 in words is "one hundred sixty-six billion, one hundred thirty-two million, nine hundred eighty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2539 2592 3456 5078 5184 6311 7617 10156 10368 12622 15234 18933 20312 22851 25244 30468 37866 40624 45702 50488 56799 60936 68553 75732 81248 91404 100976 113598 121872 137106 151464 162496 170397 182808 201952 205659 227196 243744 274212 302928 324992 340794 365616 403904 411318 454392 487488 511191 548424 605856 681588 731232 807808 822636 908784 974976 1022382 1096848 1211712 1363176 1462464 1645272 1817568 2044764 2193696 2423424 2726352 2924928 3290544 3635136 4089528 4387392 5452704 6581088 7270272 8179056 8774784 10905408 13162176 16023629 16358112 21810816 26324352 32047258 32716224 48070887 64094516 65432448 96141774 128189032 144212661 192283548 256378064 288425322 384567096 432637983 512756128 576850644 769134192 865275966 1025512256 1153701288 1297913949 1538268384 1730551932 2051024512 2307402576 2595827898 3076536768 3461103864 4614805152 5191655796 6153073536 6922207728 9229610304 10383311592 13844415456 18459220608 20766623184 27688830912 41533246368 55377661824 83066492736 166132985472