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1087199920560 = 243513433804761
BaseRepresentation
bin11111101001000100010…
…10100100000110110000
310211221020211110100201110
433310202022210012300
5120303041134424220
62151241443233320
7141355553563455
oct17644212440660
93757224410643
101087199920560
1138a096014946
12156859078840
137b6a3c63680
143a8994dd82c
151d431d8ebe0
hexfd222a41b0

1087199920560 has 160 divisors (see below), whose sum is σ = 3637962030528. Its totient is φ = 267000053760.

The previous prime is 1087199920529. The next prime is 1087199920577. The reversal of 1087199920560 is 650299917801.

It is a self number, because there is not a number n which added to its sum of digits gives 1087199920560.

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, 948580 + ... + 1753340.

Almost surely, 21087199920560 is an apocalyptic number.

1087199920560 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 1087199920560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818981015264).

1087199920560 is an abundant number, since it is smaller than the sum of its proper divisors (2550762109968).

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

1087199920560 is a wasteful number, since it uses less digits than its factorization.

1087199920560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805223 (or 805217 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 57.

The spelling of 1087199920560 in words is "one trillion, eighty-seven billion, one hundred ninety-nine million, nine hundred twenty thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 433 520 624 780 866 1040 1299 1560 1732 2165 2598 3120 3464 4330 5196 5629 6495 6928 8660 10392 11258 12990 16887 17320 20784 22516 25980 28145 33774 34640 45032 51960 56290 67548 84435 90064 103920 112580 135096 168870 225160 270192 337740 450320 675480 804761 1350960 1609522 2414283 3219044 4023805 4828566 6438088 8047610 9657132 10461893 12071415 12876176 16095220 19314264 20923786 24142830 31385679 32190440 38628528 41847572 48285660 52309465 62771358 64380880 83695144 96571320 104618930 125542716 156928395 167390288 193142640 209237860 251085432 313856790 348461513 418475720 502170864 627713580 696923026 836951440 1045384539 1255427160 1393846052 1742307565 2090769078 2510854320 2787692104 3484615130 4181538156 4529999669 5226922695 5575384208 6969230260 8363076312 9059999338 10453845390 13589999007 13938460520 16726152624 18119998676 20907690780 22649998345 27179998014 27876921040 36239997352 41815381560 45299996690 54359996028 67949995035 72479994704 83630763120 90599993380 108719992056 135899990070 181199986760 217439984112 271799980140 362399973520 543599960280 1087199920560