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146939765241920 = 265765598109483
BaseRepresentation
bin100001011010010000010100…
…100000101011100001000000
3201021021022012212212202200112
4201122100110200223201000
5123224430114400220140
61240303110220410452
742644022235410560
oct4132202440534100
9637238185782615
10146939765241920
1142901893849292
1214591ab20a6a28
1363cb48ba74c31
14283dccb800da0
1511ec391a64c65
hex85a41482b840

146939765241920 has 56 divisors (see below), whose sum is σ = 399886075414464. Its totient is φ = 50379348082176.

The previous prime is 146939765241917. The next prime is 146939765241947. The reversal of 146939765241920 is 29142567939641.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×1469397652419202 (a number of 29 digits) contains 22 as substring.

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, 32799052502 + ... + 32799056981.

Almost surely, 2146939765241920 is an apocalyptic number.

146939765241920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146939765241920 is an abundant number, since it is smaller than the sum of its proper divisors (252946310172544).

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

146939765241920 is an equidigital number, since it uses as much as digits as its factorization.

146939765241920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65598109507 (or 65598109497 counting only the distinct ones).

The product of its (nonzero) digits is 176359680, while the sum is 68.

The spelling of 146939765241920 in words is "one hundred forty-six trillion, nine hundred thirty-nine billion, seven hundred sixty-five million, two hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 65598109483 131196218966 262392437932 327990547415 459186766381 524784875864 655981094830 918373532762 1049569751728 1311962189660 1836747065524 2099139503456 2295933831905 2623924379320 3673494131048 4198279006912 4591867663810 5247848758640 7346988262096 9183735327620 10495697517280 14693976524192 18367470655240 20991395034560 29387953048384 36734941310480 73469882620960 146939765241920