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542818657020080 = 24572499277503301
BaseRepresentation
bin111101101101100001101000…
…1001110101010100010110000
32122011221221211111222001211102
41323123003101032222202300
51032122020102144120310
65202251240512103532
7222223232230416200
oct17333032116524260
92564857744861742
10542818657020080
11147a601106a8781
1250a69a85b34ba8
131a3b676c840b1c
1498087c5524400
1542b4e5b7c58a5
hex1edb0d13aa8b0

542818657020080 has 120 divisors (see below), whose sum is σ = 1471045003902000. Its totient is φ = 185736288729600.

The previous prime is 542818657019987. The next prime is 542818657020137. The reversal of 542818657020080 is 80020756818245.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 542818657019998 and 542818657020025.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136795571 + ... + 140707730.

It is an arithmetic number, because the mean of its divisors is an integer number (12258708365850).

Almost surely, 2542818657020080 is an apocalyptic number.

It is an amenable number.

542818657020080 is an abundant number, since it is smaller than the sum of its proper divisors (928226346881920).

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

542818657020080 is a wasteful number, since it uses less digits than its factorization.

542818657020080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277503827 (or 277503814 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 56.

The spelling of 542818657020080 in words is "five hundred forty-two trillion, eight hundred eighteen billion, six hundred fifty-seven million, twenty thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 499 560 784 980 998 1960 1996 2495 3493 3920 3992 4990 6986 7984 9980 13972 17465 19960 24451 27944 34930 39920 48902 55888 69860 97804 122255 139720 195608 244510 279440 391216 489020 978040 1956080 277503301 555006602 1110013204 1387516505 1942523107 2220026408 2775033010 3885046214 4440052816 5550066020 7770092428 9712615535 11100132040 13597661749 15540184856 19425231070 22200264080 27195323498 31080369712 38850462140 54390646996 67988308745 77700924280 108781293992 135976617490 138474147199 155401848560 217562587984 271953234980 276948294398 543906469960 553896588796 692370735995 969319030393 1087812939920 1107793177592 1384741471990 1938638060786 2215586355184 2769482943980 3877276121572 4846595151965 5538965887960 6785233212751 7754552243144 9693190303930 11077931775920 13570466425502 15509104486288 19386380607860 27140932851004 33926166063755 38772761215720 54281865702008 67852332127510 77545522431440 108563731404016 135704664255020 271409328510040 542818657020080