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150285164735328 = 2537296293317933
BaseRepresentation
bin100010001010111011111101…
…110110111110101101100000
3201201010010021112020021212120
4202022323331312332231200
5124144233004133012303
61251344015050024240
743440513324050400
oct4212737566765540
9651103245207776
10150285164735328
1143981642626647
1214a32331718080
1365b1aa40096ac
142917bab17a800
1512593de4b9553
hex88aefddbeb60

150285164735328 has 144 divisors (see below), whose sum is σ = 458954282288880. Its totient is φ = 42934146253824.

The previous prime is 150285164735323. The next prime is 150285164735357. The reversal of 150285164735328 is 823537461582051.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150285164735323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43635850 + ... + 46953782.

It is an arithmetic number, because the mean of its divisors is an integer number (3187182515895).

Almost surely, 2150285164735328 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 150285164735328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229477141144440).

150285164735328 is an abundant number, since it is smaller than the sum of its proper divisors (308669117553552).

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

150285164735328 is a wasteful number, since it uses less digits than its factorization.

150285164735328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327589 (or 3327574 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 60.

The spelling of 150285164735328 in words is "one hundred fifty trillion, two hundred eighty-five billion, one hundred sixty-four million, seven hundred thirty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 9629 19258 28887 38516 57774 67403 77032 115548 134806 154064 202209 231096 269612 308128 404418 462192 471821 539224 808836 924384 943642 1078448 1415463 1617672 1887284 2156896 2830926 3235344 3317933 3774568 5661852 6470688 6635866 7549136 9953799 11323704 13271732 15098272 19907598 22647408 23225531 26543464 39815196 45294816 46451062 53086928 69676593 79630392 92902124 106173856 139353186 159260784 162578717 185804248 278706372 318521568 325157434 371608496 487736151 557412744 650314868 743216992 975472302 1114825488 1300629736 1950944604 2229650976 2601259472 3901889208 5202518944 7803778416 15607556832 31948376857 63896753714 95845130571 127793507428 191690261142 223638637999 255587014856 383380522284 447277275998 511174029712 670915913997 766761044568 894554551996 1022348059424 1341831827994 1533522089136 1565470465993 1789109103992 2683663655988 3067044178272 3130940931986 3578218207984 4696411397979 5367327311976 6261881863972 7156436415968 9392822795958 10734654623952 12523763727944 18785645591916 21469309247904 25047527455888 37571291183832 50095054911776 75142582367664 150285164735328