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146148670332 = 2234764439449
BaseRepresentation
bin1000100000011100100…
…0111011101101111100
3111222020100111200210000
42020013020323231330
54343303024422312
6151050105114300
713362462125610
oct2100710735574
9458210450700
10146148670332
1156a88129175
12243a8a88990
1310a216b2672
14710609b340
153c05924adc
hex220723bb7c

146148670332 has 60 divisors (see below), whose sum is σ = 436641713200. Its totient is φ = 41756762304.

The previous prime is 146148670273. The next prime is 146148670361. The reversal of 146148670332 is 233076841641.

146148670332 is a `hidden beast` number, since 14 + 61 + 486 + 70 + 3 + 32 = 666.

146148670332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32217457 + ... + 32221992.

Almost surely, 2146148670332 is an apocalyptic number.

146148670332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146148670332 is an abundant number, since it is smaller than the sum of its proper divisors (290493042868).

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

146148670332 is a wasteful number, since it uses less digits than its factorization.

146148670332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64439472 (or 64439461 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 146148670332 in words is "one hundred forty-six billion, one hundred forty-eight million, six hundred seventy thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 64439449 128878898 193318347 257757796 386636694 451076143 579955041 773273388 902152286 1159910082 1353228429 1739865123 1804304572 2319820164 2706456858 3479730246 4059685287 5219595369 5412913716 6959460492 8119370574 10439190738 12179055861 16238741148 20878381476 24358111722 36537167583 48716223444 73074335166 146148670332