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1648538030340 = 2232531833559481
BaseRepresentation
bin10111111111010100100…
…001100001000100000100
312211121011110010220020200
4113333110201201010010
5204002201213432330
63301154455130500
7230050211024415
oct27772441410404
95747143126220
101648538030340
11586160817053
122275b8073a30
13bc5c1b2a956
1459b0abb780c
152cd37942a60
hex17fd4861104

1648538030340 has 144 divisors (see below), whose sum is σ = 5224066638336. Its totient is φ = 420303398400.

The previous prime is 1648538030303. The next prime is 1648538030341. The reversal of 1648538030340 is 430308358461.

1648538030340 is a `hidden beast` number, since 1 + 6 + 48 + 538 + 0 + 30 + 3 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1648538030341) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1316601 + ... + 2242880.

It is an arithmetic number, because the mean of its divisors is an integer number (36278240544).

Almost surely, 21648538030340 is an apocalyptic number.

1648538030340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1648538030340 is an abundant number, since it is smaller than the sum of its proper divisors (3575528607996).

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

1648538030340 is a wasteful number, since it uses less digits than its factorization.

1648538030340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3559610 (or 3559605 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1648538030340 in words is "one trillion, six hundred forty-eight billion, five hundred thirty-eight million, thirty thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 83 90 93 124 155 166 180 186 249 279 310 332 372 415 465 498 558 620 747 830 930 996 1116 1245 1395 1494 1660 1860 2490 2573 2790 2988 3735 4980 5146 5580 7470 7719 10292 12865 14940 15438 23157 25730 30876 38595 46314 51460 77190 92628 115785 154380 231570 463140 3559481 7118962 10678443 14237924 17797405 21356886 32035329 35594810 42713772 53392215 64070658 71189620 106784430 110343911 128141316 160176645 213568860 220687822 295436923 320353290 331031733 441375644 551719555 590873846 640706580 662063466 886310769 993095199 1103439110 1181747692 1324126932 1477184615 1655158665 1772621538 1986190398 2206878220 2658932307 2954369230 3310317330 3545243076 3972380796 4431553845 4965475995 5317864614 5908738460 6620634660 8863107690 9158544613 9930951990 10635729228 13294661535 17726215380 18317089226 19861903980 26589323070 27475633839 36634178452 45792723065 53178646140 54951267678 82426901517 91585446130 109902535356 137378169195 164853803034 183170892260 274756338390 329707606068 412134507585 549512676780 824269015170 1648538030340