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146666808096 = 2538917166059
BaseRepresentation
bin1000100010011000000…
…1011110001100100000
3112000120110110211011120
42020212001132030200
54400333200324341
6151213334412240
713411353204414
oct2104601361440
9460513424146
10146666808096
11572236537a6
1224512501080
1310aa4b48363
147154c14d44
153c36172066
hex222605e320

146666808096 has 48 divisors (see below), whose sum is σ = 389326240800. Its totient is φ = 48339619328.

The previous prime is 146666808073. The next prime is 146666808103. The reversal of 146666808096 is 690808666641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1466668080962 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8574486 + ... + 8591573.

It is an arithmetic number, because the mean of its divisors is an integer number (8110963350).

Almost surely, 2146666808096 is an apocalyptic number.

146666808096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146666808096 is an abundant number, since it is smaller than the sum of its proper divisors (242659432704).

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

146666808096 is a wasteful number, since it uses less digits than its factorization.

146666808096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17166161 (or 17166153 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 146666808096 in words is "one hundred forty-six billion, six hundred sixty-six million, eight hundred eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 89 96 178 267 356 534 712 1068 1424 2136 2848 4272 8544 17166059 34332118 51498177 68664236 102996354 137328472 205992708 274656944 411985416 549313888 823970832 1527779251 1647941664 3055558502 4583337753 6111117004 9166675506 12222234008 18333351012 24444468016 36666702024 48888936032 73333404048 146666808096