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74282327640 = 23335161342641
BaseRepresentation
bin100010100101110010…
…0100101111001011000
321002201212022020001000
41011023210211321120
52204112233441030
654042544025000
75236533236613
oct1051344457130
9232655266030
1074282327640
112955948a224
1212491002160
13700a6ba031
14384965d17a
151deb553860
hex114b925e58

74282327640 has 128 divisors (see below), whose sum is σ = 247767076800. Its totient is φ = 19795875840.

The previous prime is 74282327633. The next prime is 74282327653. The reversal of 74282327640 is 4672328247.

74282327640 is a `hidden beast` number, since 7 + 4 + 282 + 327 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1720720 + ... + 1763360.

Almost surely, 274282327640 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 74282327640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123883538400).

74282327640 is an abundant number, since it is smaller than the sum of its proper divisors (173484749160).

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

74282327640 is a wasteful number, since it uses less digits than its factorization.

74282327640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44274 (or 44264 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 74282327640 in words is "seventy-four billion, two hundred eighty-two million, three hundred twenty-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1613 3226 4839 6452 8065 9678 12904 14517 16130 19356 24195 29034 32260 38712 42641 43551 48390 58068 64520 72585 85282 87102 96780 116136 127923 145170 170564 174204 193560 213205 217755 255846 290340 341128 348408 383769 426410 435510 511692 580680 639615 767538 852820 871020 1023384 1151307 1279230 1535076 1705640 1742040 1918845 2302614 2558460 3070152 3837690 4605228 5116920 5756535 7675380 9210456 11513070 15350760 23026140 46052280 68779933 137559866 206339799 275119732 343899665 412679598 550239464 619019397 687799330 825359196 1031698995 1238038794 1375598660 1650718392 1857058191 2063397990 2476077588 2751197320 3095096985 3714116382 4126795980 4952155176 6190193970 7428232764 8253591960 9285290955 12380387940 14856465528 18570581910 24760775880 37141163820 74282327640