Search a number
-
+
1263387495930 = 235767443202693
BaseRepresentation
bin10010011000100111110…
…000110100110111111010
311110210000122110112112220
4102120213300310313322
5131144404144332210
62404220414344510
7160163630346120
oct22304760646772
94423018415486
101263387495930
11447888339a6a
12184a29abb136
13921a1ab0451
1445210c51910
1522ce4a25c70
hex12627c34dfa

1263387495930 has 128 divisors (see below), whose sum is σ = 3524968654848. Its totient is φ = 283820689152.

The previous prime is 1263387495917. The next prime is 1263387495983. The reversal of 1263387495930 is 395947833621.

It is a super-2 number, since 2×12633874959302 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6131664 + ... + 6334356.

It is an arithmetic number, because the mean of its divisors is an integer number (27538817616).

It is a 1-persistent number, because it is pandigital, but 2⋅1263387495930 = 2526774991860 is not.

Almost surely, 21263387495930 is an apocalyptic number.

1263387495930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1263387495930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762484327424).

1263387495930 is an abundant number, since it is smaller than the sum of its proper divisors (2261581158918).

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

1263387495930 is a wasteful number, since it uses less digits than its factorization.

1263387495930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203220.

The product of its (nonzero) digits is 29393280, while the sum is 60.

The spelling of 1263387495930 in words is "one trillion, two hundred sixty-three billion, three hundred eighty-seven million, four hundred ninety-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 335 402 443 469 670 886 938 1005 1329 1407 2010 2215 2345 2658 2814 3101 4430 4690 6202 6645 7035 9303 13290 14070 15505 18606 29681 31010 46515 59362 89043 93030 148405 178086 202693 207767 296810 405386 415534 445215 608079 623301 890430 1013465 1038835 1216158 1246602 1418851 2026930 2077670 2837702 3040395 3116505 4256553 6080790 6233010 7094255 8513106 13580431 14188510 21282765 27160862 40741293 42565530 67902155 81482586 89792999 95063017 135804310 179585998 190126034 203706465 269378997 285189051 407412930 448964995 475315085 538757994 570378102 628550993 897929990 950630170 1257101986 1346894985 1425945255 1885652979 2693789970 2851890510 3142754965 3771305958 6016130933 6285509930 9428264895 12032261866 18048392799 18856529790 30080654665 36096785598 42112916531 60161309330 84225833062 90241963995 126338749593 180483927990 210564582655 252677499186 421129165310 631693747965 1263387495930