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1661255623260 = 22325241155324659
BaseRepresentation
bin11000001011001010100…
…011010010001001011100
312212210222202112120000200
4120023022203102021130
5204204222414421020
63311100441223500
7231010314544662
oct30131243221134
95783882476020
101661255623260
11590597543922
12229b67191b90
13c086a85146c
145a595c2cc32
152d32e1ad590
hex182ca8d225c

1661255623260 has 144 divisors (see below), whose sum is σ = 5063514936480. Its totient is φ = 440861368320.

The previous prime is 1661255623259. The next prime is 1661255623267. The reversal of 1661255623260 is 623265521661.

1661255623260 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 2 + 556 + 2 + 32 + 60 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661255623267) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 67356811 + ... + 67381469.

It is an arithmetic number, because the mean of its divisors is an integer number (35163298170).

Almost surely, 21661255623260 is an apocalyptic number.

1661255623260 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 1661255623260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531757468240).

1661255623260 is an abundant number, since it is smaller than the sum of its proper divisors (3402259313220).

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

1661255623260 is a wasteful number, since it uses less digits than its factorization.

1661255623260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26468 (or 26463 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 1661255623260 in words is "one trillion, six hundred sixty-one billion, two hundred fifty-five million, six hundred twenty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 241 482 723 964 1205 1446 1553 2169 2410 2892 3106 3615 4338 4659 4820 6212 7230 7765 8676 9318 10845 13977 14460 15530 18636 21690 23295 24659 27954 31060 43380 46590 49318 55908 69885 73977 93180 98636 123295 139770 147954 221931 246590 279540 295908 369885 374273 443862 493180 739770 748546 887724 1109655 1122819 1479540 1497092 1871365 2219310 2245638 3368457 3742730 4438620 4491276 5614095 5942819 6736914 7485460 11228190 11885638 13473828 16842285 17828457 22456380 23771276 29714095 33684570 35656914 38295427 53485371 59428190 67369140 71313828 76590854 89142285 106970742 114886281 118856380 153181708 178284570 191477135 213941484 229772562 267426855 344658843 356569140 382954270 459545124 534853710 574431405 689317686 765908540 1069707420 1148862810 1378635372 1723294215 2297725620 3446588430 6893176860 9229197907 18458395814 27687593721 36916791628 46145989535 55375187442 83062781163 92291979070 110750374884 138437968605 166125562326 184583958140 276875937210 332251124652 415313905815 553751874420 830627811630 1661255623260