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146731688640 = 2632550948503
BaseRepresentation
bin1000100010100111100…
…0111110001011000000
3112000201222120002112200
42020221320332023000
54401001303014030
6151224013153200
713413101526465
oct2105170761300
9460658502480
10146731688640
1157257238489
122453018b800
1310ab5413904
14715d6a366c
153c3bbdad60
hex2229e3e2c0

146731688640 has 84 divisors (see below), whose sum is σ = 504695880624. Its totient is φ = 39128449536.

The previous prime is 146731688639. The next prime is 146731688699. The reversal of 146731688640 is 46886137641.

146731688640 is a `hidden beast` number, since 1 + 467 + 3 + 1 + 68 + 86 + 40 = 666.

It is a super-2 number, since 2×1467316886402 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25471372 + ... + 25477131.

Almost surely, 2146731688640 is an apocalyptic number.

146731688640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146731688640 is an abundant number, since it is smaller than the sum of its proper divisors (357964191984).

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

146731688640 is a wasteful number, since it uses less digits than its factorization.

146731688640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50948526 (or 50948513 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 146731688640 in words is "one hundred forty-six billion, seven hundred thirty-one million, six hundred eighty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 50948503 101897006 152845509 203794012 254742515 305691018 407588024 458536527 509485030 611382036 764227545 815176048 917073054 1018970060 1222764072 1528455090 1630352096 1834146108 2037940120 2292682635 2445528144 3056910180 3260704192 3668292216 4075880240 4585365270 4891056288 6113820360 7336584432 8151760480 9170730540 9782112576 12227640720 14673168864 16303520960 18341461080 24455281440 29346337728 36682922160 48910562880 73365844320 146731688640