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13802932590 = 23531591072351
BaseRepresentation
bin11001101101011100…
…00000100101101110
31022121221122121220120
430312232000211232
5211232022320330
610201352425410
7666022663656
oct146656004556
938557577816
1013802932590
115943439607
1228126a8266
1313bc840645
1494d259366
1555bba7c10
hex336b8096e

13802932590 has 128 divisors (see below), whose sum is σ = 35115171840. Its totient is φ = 3467472000.

The previous prime is 13802932567. The next prime is 13802932607. The reversal of 13802932590 is 9523920831.

13802932590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5869915 + ... + 5872265.

It is an arithmetic number, because the mean of its divisors is an integer number (274337280).

Almost surely, 213802932590 is an apocalyptic number.

13802932590 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 13802932590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557585920).

13802932590 is an abundant number, since it is smaller than the sum of its proper divisors (21312239250).

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

13802932590 is a wasteful number, since it uses less digits than its factorization.

13802932590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558.

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 13802932590 in words is "thirteen billion, eight hundred two million, nine hundred thirty-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 59 62 93 107 118 155 177 186 214 295 310 321 354 465 535 590 642 885 930 1070 1605 1770 1829 2351 3210 3317 3658 4702 5487 6313 6634 7053 9145 9951 10974 11755 12626 14106 16585 18290 18939 19902 23510 27435 31565 33170 35265 37878 49755 54870 63130 70530 72881 94695 99510 138709 145762 189390 195703 218643 251557 277418 364405 391406 416127 437286 503114 587109 693545 728810 754671 832254 978515 1093215 1174218 1257785 1387090 1509342 1957030 2080635 2186430 2515570 2935545 3773355 4161270 4299979 5871090 7546710 7798267 8599958 12899937 14841863 15596534 21499895 23394801 25799874 29683726 38991335 42999790 44525589 46789602 64499685 74209315 77982670 89051178 116974005 128999370 148418630 222627945 233948010 445255890 460097753 920195506 1380293259 2300488765 2760586518 4600977530 6901466295 13802932590