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8385140681225 = 5272117161914159
BaseRepresentation
bin111101000000101000101…
…0101001110101000001001
31002200121111212112011112022
41322001101111032220021
52044340232003244400
625500025213254225
71523543413536200
oct172012125165011
932617455464468
108385140681225
1127431333504a0
12b3511a794375
1348a93b8a1889
1420dbb319c237
15e81b4087b85
hex7a05154ea09

8385140681225 has 144 divisors (see below), whose sum is σ = 13403099289600. Its totient is φ = 5144790672000.

The previous prime is 8385140681209. The next prime is 8385140681237. The reversal of 8385140681225 is 5221860415838.

It is a happy number.

It is not a de Polignac number, because 8385140681225 - 24 = 8385140681209 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 592205696 + ... + 592219854.

It is an arithmetic number, because the mean of its divisors is an integer number (93077078400).

Almost surely, 28385140681225 is an apocalyptic number.

It is an amenable number.

8385140681225 is a deficient number, since it is larger than the sum of its proper divisors (5017958608375).

8385140681225 is a wasteful number, since it uses less digits than its factorization.

8385140681225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14884 (or 14872 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 53.

The spelling of 8385140681225 in words is "eight trillion, three hundred eighty-five billion, one hundred forty million, six hundred eighty-one thousand, two hundred twenty-five".

Divisors: 1 5 7 11 25 35 49 55 71 77 175 245 275 355 385 497 539 619 781 1225 1775 1925 2485 2695 3095 3479 3905 4333 5467 6809 12425 13475 14159 15475 17395 19525 21665 27335 30331 34045 38269 43949 47663 70795 86975 99113 108325 136675 151655 155749 170225 191345 219745 238315 307643 333641 353975 483439 495565 693791 758275 778745 956725 1005289 1090243 1098725 1191575 1538215 1668205 2153501 2417195 2477825 3384073 3468955 3893725 5026445 5451215 7037023 7631701 7691075 8341025 8764421 10767505 11058179 12085975 16920365 17344775 23688511 25132225 27256075 35185115 38158505 43822105 49259161 53837525 55290895 61350947 77407253 84601825 96408631 118442555 175925575 190792525 219110525 246295805 276454475 306754735 387036265 429456629 482043155 541850771 592212775 622273891 674860417 1231479025 1533773675 1935181325 2147283145 2410215775 2709253855 3111369455 3374302085 4355917237 4724022919 6845012801 10736415725 13546269275 15556847275 16871510425 21779586185 23620114595 30491420659 34225064005 47915089607 108897930925 118100572975 152457103295 171125320025 239575448035 335405627249 762285516475 1197877240175 1677028136245 8385140681225