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1132905347832 = 2334110117876379
BaseRepresentation
bin10000011111000110011…
…010111011101011111000
311000022020010021122002010
4100133012122323223320
5122030142232112312
62224241033205520
7144564310366146
oct20370632735370
94008203248063
101132905347832
113a750a596935
121636938608a0
1382aa90642ab
143cb9371a596
151e7096c393c
hex107c66bbaf8

1132905347832 has 128 divisors (see below), whose sum is σ = 2932168377600. Its totient is φ = 364515456000.

The previous prime is 1132905347813. The next prime is 1132905347927. The reversal of 1132905347832 is 2387435092311.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177596019 + ... + 177602397.

It is an arithmetic number, because the mean of its divisors is an integer number (22907565450).

Almost surely, 21132905347832 is an apocalyptic number.

1132905347832 is a gapful number since it is divisible by the number (12) 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 1132905347832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1466084188800).

1132905347832 is an abundant number, since it is smaller than the sum of its proper divisors (1799263029768).

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

1132905347832 is a wasteful number, since it uses less digits than its factorization.

1132905347832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8317 (or 8313 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 1132905347832 in words is "one trillion, one hundred thirty-two billion, nine hundred five million, three hundred forty-seven thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 101 123 164 202 246 303 328 404 492 606 808 984 1212 1787 2424 3574 4141 5361 6379 7148 8282 10722 12423 12758 14296 16564 19137 21444 24846 25516 33128 38274 42888 49692 51032 73267 76548 99384 146534 153096 180487 219801 261539 293068 360974 439602 523078 541461 586136 644279 721948 784617 879204 1046156 1082922 1288558 1443896 1569234 1758408 1932837 2092312 2165844 2577116 3138468 3865674 4331688 5154232 6276936 7399967 7731348 11399273 14799934 15462696 22199901 22798546 26415439 29599868 34197819 44399802 45597092 52830878 59199736 68395638 79246317 88799604 91194184 105661756 136791276 158492634 177599208 211323512 273582552 316985268 467370193 633970536 934740386 1151326573 1402110579 1869480772 2302653146 2804221158 3453979719 3738961544 4605306292 5608442316 6907959438 9210612584 11216884632 13815918876 27631837752 47204389493 94408778986 141613168479 188817557972 283226336958 377635115944 566452673916 1132905347832