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146228747184 = 243213102176507
BaseRepresentation
bin1000100000101111101…
…0011001101110110000
3111222102221012000120100
42020023322121232300
54343434024402214
6151102045312400
713364453562042
oct2101372315660
9458387160510
10146228747184
1157019352093
122440b865700
1310a3516ba10
147112983a92
153c0c991309
hex220be99bb0

146228747184 has 120 divisors (see below), whose sum is σ = 441154614992. Its totient is φ = 44948805120.

The previous prime is 146228747173. The next prime is 146228747201. The reversal of 146228747184 is 481747822641.

It is a happy number.

146228747184 is a `hidden beast` number, since 1 + 4 + 622 + 8 + 7 + 4 + 7 + 1 + 8 + 4 = 666.

146228747184 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 146228747184.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1873059 + ... + 1949565.

Almost surely, 2146228747184 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 146228747184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220577307496).

146228747184 is an abundant number, since it is smaller than the sum of its proper divisors (294925867808).

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

146228747184 is a wasteful number, since it uses less digits than its factorization.

146228747184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77555 (or 77546 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The spelling of 146228747184 in words is "one hundred forty-six billion, two hundred twenty-eight million, seven hundred forty-seven thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1021 1872 2042 3063 4084 6126 8168 9189 12252 13273 16336 18378 24504 26546 36756 39819 49008 53092 73512 76507 79638 106184 119457 147024 153014 159276 212368 229521 238914 306028 318552 459042 477828 612056 637104 688563 918084 955656 994591 1224112 1377126 1836168 1911312 1989182 2754252 2983773 3672336 3978364 5508504 5967546 7956728 8951319 11017008 11935092 15913456 17902638 23870184 35805276 47740368 71610552 78113647 143221104 156227294 234340941 312454588 468681882 624909176 703022823 937363764 1015477411 1249818352 1406045646 1874727528 2030954822 2812091292 3046432233 3749455056 4061909644 5624182584 6092864466 8123819288 9139296699 11248365168 12185728932 16247638576 18278593398 24371457864 36557186796 48742915728 73114373592 146228747184