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1133896191040 = 26518141946723
BaseRepresentation
bin10000100000000001011…
…110101100110001000000
311000101210011201200102201
4100200001132230301000
5122034204411103130
62224523230322544
7144631001411644
oct20400136546100
94011704650381
101133896191040
113a7978926018
1216390b659454
1382c06416652
143cc49162c24
151e766696bca
hex108017acc40

1133896191040 has 112 divisors (see below), whose sum is σ = 2721545910720. Its totient is φ = 449966499840.

The previous prime is 1133896190989. The next prime is 1133896191067. The reversal of 1133896191040 is 401916983311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24245119 + ... + 24291841.

It is an arithmetic number, because the mean of its divisors is an integer number (24299517060).

Almost surely, 21133896191040 is an apocalyptic number.

1133896191040 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 1133896191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1360772955360).

1133896191040 is an abundant number, since it is smaller than the sum of its proper divisors (1587649719680).

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

1133896191040 is a wasteful number, since it uses less digits than its factorization.

1133896191040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47340 (or 47330 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The spelling of 1133896191040 in words is "one trillion, one hundred thirty-three billion, eight hundred ninety-six million, one hundred ninety-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 181 320 362 419 724 838 905 1448 1676 1810 2095 2896 3352 3620 4190 5792 6704 7240 8380 11584 13408 14480 16760 26816 28960 33520 46723 57920 67040 75839 93446 134080 151678 186892 233615 303356 373784 379195 467230 606712 747568 758390 934460 1213424 1495136 1516780 1868920 2426848 2990272 3033560 3737840 4853696 6067120 7475680 8456863 12134240 14951360 16913726 19576937 24268480 33827452 39153874 42284315 67654904 78307748 84568630 97884685 135309808 156615496 169137260 195769370 270619616 313230992 338274520 391538740 541239232 626461984 676549040 783077480 1252923968 1353098080 1566154960 2706196160 3132309920 3543425597 6264619840 7086851194 14173702388 17717127985 28347404776 35434255970 56694809552 70868511940 113389619104 141737023880 226779238208 283474047760 566948095520 1133896191040