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3409923965835 = 3531431376192011
BaseRepresentation
bin110001100111101111010…
…011101000001110001011
3110001222121110112100022010
4301213233103220032023
5421332011013401320
611130255240431003
7501234044322102
oct61475723501613
913058543470263
103409923965835
1110a5160200532
12470a48778463
131b972918647a
14bb0810a9039
155da774cbae0
hex319ef4e838b

3409923965835 has 128 divisors (see below), whose sum is σ = 5817181962240. Its totient is φ = 1702879718400.

The previous prime is 3409923965831. The next prime is 3409923965867. The reversal of 3409923965835 is 5385693299043.

It is a happy number.

It is not a de Polignac number, because 3409923965835 - 22 = 3409923965831 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3409923965831) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1695634980 + ... + 1695636990.

It is an arithmetic number, because the mean of its divisors is an integer number (45446734080).

Almost surely, 23409923965835 is an apocalyptic number.

3409923965835 is a deficient number, since it is larger than the sum of its proper divisors (2407257996405).

3409923965835 is a wasteful number, since it uses less digits than its factorization.

3409923965835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849.

The product of its (nonzero) digits is 188956800, while the sum is 66.

The spelling of 3409923965835 in words is "three trillion, four hundred nine billion, nine hundred twenty-three million, nine hundred sixty-five thousand, eight hundred thirty-five".

Divisors: 1 3 5 15 31 43 93 129 137 155 215 411 465 619 645 685 1333 1857 2011 2055 3095 3999 4247 5891 6033 6665 9285 10055 12741 17673 19189 19995 21235 26617 29455 30165 57567 62341 63705 79851 84803 86473 88365 95945 133085 182621 187023 254409 259419 275507 287835 311705 399255 424015 432365 547863 825127 826521 913105 935115 1244809 1272045 1297095 1377535 2475381 2628893 2680663 2739315 3646529 3734427 4125635 4132605 6224045 7886679 8041989 8540717 10939587 11846801 12376905 13144465 13403315 18232645 18672135 25622151 35540403 38589079 39433395 40209945 42703585 53526787 54697935 59234005 113042399 115767237 128110755 160580361 170538833 177702015 192945395 267633935 339127197 367250831 511616499 565211995 578836185 802901805 852694165 1101752493 1659330397 1695635985 1836254155 2558082495 4977991191 5286703823 5508762465 7333169819 8296651985 15860111469 21999509457 24889955955 26433519115 36665849095 79300557345 109997547285 227328264389 681984793167 1136641321945 3409923965835