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146845034500 = 22531076014567
BaseRepresentation
bin1000100011000010100…
…1010110100000000100
3112001000212211122211111
42020300221112200010
54401214312101000
6151243142414404
713415646125053
oct2106051264004
9461025748744
10146845034500
115730521494a
1224562131404
1310b02a4ab78
14717076a39a
153c46b29cba
hex2230a56804

146845034500 has 96 divisors (see below), whose sum is σ = 324316452096. Its totient is φ = 58079520000.

The previous prime is 146845034471. The next prime is 146845034503. The reversal of 146845034500 is 5430548641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (146845034503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32151217 + ... + 32155783.

It is an arithmetic number, because the mean of its divisors is an integer number (3378296376).

Almost surely, 2146845034500 is an apocalyptic number.

146845034500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146845034500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162158226048).

146845034500 is an abundant number, since it is smaller than the sum of its proper divisors (177471417596).

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

146845034500 is a wasteful number, since it uses less digits than its factorization.

146845034500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5294 (or 5282 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The spelling of 146845034500 in words is "one hundred forty-six billion, eight hundred forty-five million, thirty-four thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 107 125 214 250 428 500 535 601 1070 1202 2140 2404 2675 3005 4567 5350 6010 9134 10700 12020 13375 15025 18268 22835 26750 30050 45670 53500 60100 64307 75125 91340 114175 128614 150250 228350 257228 300500 321535 456700 488669 570875 643070 977338 1141750 1286140 1607675 1954676 2283500 2443345 2744767 3215350 4886690 5489534 6430700 8038375 9773380 10979068 12216725 13723835 16076750 24433450 27447670 32153500 48866900 54895340 61083625 68619175 122167250 137238350 244334500 274476700 293690069 343095875 587380138 686191750 1174760276 1372383500 1468450345 2936900690 5873801380 7342251725 14684503450 29369006900 36711258625 73422517250 146845034500