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150669782319040 = 2651075512779823
BaseRepresentation
bin100010010000100010001010…
…110110100111111111000000
3201202110220001012001221122121
4202100202022312213333000
5124222033203233202130
61252240424211414024
743510350443423605
oct4220421266477700
9652426035057577
10150669782319040
114400a772190a06
1214a949912b4314
13660c13a805a5a
14292c6564106ac
15126440070ed7a
hex89088ada7fc0

150669782319040 has 112 divisors (see below), whose sum is σ = 362146631795712. Its totient is φ = 59702830416896.

The previous prime is 150669782319013. The next prime is 150669782319047. The reversal of 150669782319040 is 40913287966051.

It is a self number, because there is not a number n which added to its sum of digits gives 150669782319040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150669782319047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1887508569 + ... + 1887588391.

It is a 1-persistent number, because it is pandigital, but 2⋅150669782319040 = 301339564638080 is not.

Almost surely, 2150669782319040 is an apocalyptic number.

150669782319040 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 150669782319040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181073315897856).

150669782319040 is an abundant number, since it is smaller than the sum of its proper divisors (211476849476672).

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

150669782319040 is a wasteful number, since it uses less digits than its factorization.

150669782319040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135074 (or 135064 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 150669782319040 in words is "one hundred fifty trillion, six hundred sixty-nine billion, seven hundred eighty-two million, three hundred nineteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 107 160 214 320 428 535 856 1070 1712 2140 3424 4280 6848 8560 17120 34240 55127 79823 110254 159646 220508 275635 319292 399115 441016 551270 638584 798230 882032 1102540 1277168 1596460 1764064 2205080 2554336 3192920 3528128 4410160 5108672 5898589 6385840 8541061 8820320 11797178 12771680 17082122 17640640 23594356 25543360 29492945 34164244 42705305 47188712 58985890 68328488 85410610 94377424 117971780 136656976 170821220 188754848 235943560 273313952 341642440 377509696 471887120 546627904 683284880 943774240 1366569760 1887548480 2733139520 4400402521 8800805042 17601610084 22002012605 35203220168 44004025210 70406440336 88008050420 140812880672 176016100840 281625761344 352032201680 470843069747 704064403360 941686139494 1408128806720 1883372278988 2354215348735 3766744557976 4708430697470 7533489115952 9416861394940 15066978231904 18833722789880 30133956463808 37667445579760 75334891159520 150669782319040