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146528470912 = 278338336011
BaseRepresentation
bin1000100001110111000…
…1110000011110000000
3112000012211011120020011
42020131301300132000
54400042242032122
6151151513354304
713405053311125
oct2103561603600
9460184146204
10146528470912
1157162557a4a
1224494108994
1310a822a0b35
1471406c474c
153c28e48377
hex221dc70780

146528470912 has 64 divisors (see below), whose sum is σ = 296208783360. Its totient is φ = 72190543360.

The previous prime is 146528470883. The next prime is 146528470919. The reversal of 146528470912 is 219074825641.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1465284709122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146528470919) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4050987 + ... + 4086997.

It is an arithmetic number, because the mean of its divisors is an integer number (4628262240).

Almost surely, 2146528470912 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 146528470912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148104391680).

146528470912 is an abundant number, since it is smaller than the sum of its proper divisors (149680312448).

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

146528470912 is an equidigital number, since it uses as much as digits as its factorization.

146528470912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36491 (or 36479 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

The spelling of 146528470912 in words is "one hundred forty-six billion, five hundred twenty-eight million, four hundred seventy thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 83 128 166 332 383 664 766 1328 1532 2656 3064 5312 6128 10624 12256 24512 31789 36011 49024 63578 72022 127156 144044 254312 288088 508624 576176 1017248 1152352 2034496 2304704 2988913 4068992 4609408 5977826 11955652 13792213 23911304 27584426 47822608 55168852 95645216 110337704 191290432 220675408 382580864 441350816 882701632 1144753679 1765403264 2289507358 4579014716 9158029432 18316058864 36632117728 73264235456 146528470912