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146904996150 = 2325211273110867
BaseRepresentation
bin1000100011010000111…
…0000101100100110110
3112001012001200000202100
42020310032011210312
54401330134334100
6151253123522530
713420304602263
oct2106416054466
9461161600670
10146904996150
1157336049a30
122457a229446
1310b122b3533
1471786d826a
153c4c021400
hex2234385936

146904996150 has 144 divisors (see below), whose sum is σ = 430762483008. Its totient is φ = 35597016000.

The previous prime is 146904996113. The next prime is 146904996187. The reversal of 146904996150 is 51699409641.

146904996150 is a `hidden beast` number, since 1 + 4 + 6 + 90 + 499 + 61 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146904996113) and next prime (146904996187).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13513017 + ... + 13523883.

It is an arithmetic number, because the mean of its divisors is an integer number (2991406132).

Almost surely, 2146904996150 is an apocalyptic number.

146904996150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146904996150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215381241504).

146904996150 is an abundant number, since it is smaller than the sum of its proper divisors (283857486858).

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

146904996150 is a wasteful number, since it uses less digits than its factorization.

146904996150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13627 (or 13619 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 146904996150 in words is "one hundred forty-six billion, nine hundred four million, nine hundred ninety-six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 2731 4950 5462 8193 10867 13655 16386 21734 24579 27310 30041 32601 40965 49158 54335 60082 65202 68275 81930 90123 97803 108670 119537 122895 136550 150205 163005 180246 195606 204825 239074 245790 270369 271675 300410 326010 358611 409650 450615 489015 540738 543350 597685 614475 717222 751025 815025 901230 978030 1075833 1195370 1228950 1351845 1502050 1630050 1793055 2151666 2253075 2445075 2703690 2988425 3586110 4506150 4890150 5379165 5976850 6759225 8965275 10758330 13518450 17930550 26895825 29677777 53791650 59355554 89033331 148388885 178066662 267099993 296777770 326455547 445166655 534199986 652911094 741944425 890333310 979366641 1335499965 1483888850 1632277735 1958733282 2225833275 2670999930 2938099923 3264555470 4451666550 4896833205 5876199846 6677499825 8161388675 9793666410 13354999650 14690499615 16322777350 24484166025 29380999230 48968332050 73452498075 146904996150