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154741360956 = 223713419338197
BaseRepresentation
bin1001000000011101001…
…1011100100100111100
3112210102012011121100220
42100013103130210330
510013402242022311
6155030500221340
714115430603020
oct2200723344474
9483365147326
10154741360956
115a697511886
1225ba669a850
13117909623a0
1476bd368380
154059e97206
hex24074dc93c

154741360956 has 96 divisors (see below), whose sum is σ = 445447349760. Its totient is φ = 40713387264.

The previous prime is 154741360897. The next prime is 154741360967. The reversal of 154741360956 is 659063147451.

It is a junction number, because it is equal to n+sod(n) for n = 154741360899 and 154741360908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288450 + ... + 626646.

It is an arithmetic number, because the mean of its divisors is an integer number (4640076560).

Almost surely, 2154741360956 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 154741360956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222723674880).

154741360956 is an abundant number, since it is smaller than the sum of its proper divisors (290705988804).

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

154741360956 is a wasteful number, since it uses less digits than its factorization.

154741360956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338643 (or 338641 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 154741360956 in words is "one hundred fifty-four billion, seven hundred forty-one million, three hundred sixty thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 419 546 838 1092 1257 1676 2514 2933 5028 5447 5866 8799 10894 11732 16341 17598 21788 32682 35196 38129 65364 76258 114387 152516 228774 338197 457548 676394 1014591 1352788 2029182 2367379 4058364 4396561 4734758 7102137 8793122 9469516 13189683 14204274 17586244 26379366 28408548 30775927 52758732 61551854 92327781 123103708 141704543 184655562 283409086 369311124 425113629 566818172 850227258 991931801 1700454516 1842159059 1983863602 2975795403 3684318118 3967727204 5526477177 5951590806 7368636236 11052954354 11903181612 12895113413 22105908708 25790226826 38685340239 51580453652 77370680478 154741360956