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64380365312040 = 2334519870483121
BaseRepresentation
bin11101010001101101110001…
…10011100001000000101000
322102221200222100112002120000
432220312320303201000220
531414301442004441130
6344531533113103000
716363220316645411
oct1650667063410050
9272850870462500
1064380365312040
111957161790a428
12727941a0b7a60
1329c00721c51ab
1411c8052288808
15769a337eb260
hex3a8db8ce1028

64380365312040 has 80 divisors (see below), whose sum is σ = 216389561198580. Its totient is φ = 17168097415680.

The previous prime is 64380365311993. The next prime is 64380365312117. The reversal of 64380365312040 is 4021356308346.

64380365312040 is a `hidden beast` number, since 6 + 4 + 3 + 80 + 36 + 531 + 2 + 0 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 60143840520516 + 4236524791524 = 7755246^2 + 2058282^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9935238321 + ... + 9935244800.

Almost surely, 264380365312040 is an apocalyptic number.

64380365312040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64380365312040 is an abundant number, since it is smaller than the sum of its proper divisors (152009195886540).

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

64380365312040 is a wasteful number, since it uses less digits than its factorization.

64380365312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19870483144 (or 19870483131 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 64380365312040 in words is "sixty-four trillion, three hundred eighty billion, three hundred sixty-five million, three hundred twelve thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 19870483121 39740966242 59611449363 79481932484 99352415605 119222898726 158963864968 178834348089 198704831210 238445797452 298057246815 357668696178 397409662420 476891594904 536503044267 596114493630 715337392356 794819324840 894171740445 1073006088534 1192228987260 1430674784712 1609509132801 1788343480890 2146012177068 2384457974520 2682515221335 3219018265602 3576686961780 4292024354136 5365030442670 6438036531204 7153373923560 8047545664005 10730060885340 12876073062408 16095091328010 21460121770680 32190182656020 64380365312040