Search a number
-
+
10504545434352 = 24321271213473533
BaseRepresentation
bin1001100011011100011110…
…1100101111101011110000
31101012020001211110221210100
42120313013230233223300
52334101302112344402
634201415504432400
72132633266645104
oct230670754575360
941166054427710
1010504545434352
11338aa53054632
121217a27018700
135b2760bca008
142845cbcc7904
151333a9b3b71c
hex98dc7b2faf0

10504545434352 has 120 divisors (see below), whose sum is σ = 29654108317184. Its totient is φ = 3471072901632.

The previous prime is 10504545434351. The next prime is 10504545434387. The reversal of 10504545434352 is 25343454540501.

10504545434352 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 4 + 54 + 543 + 4 + 3 + 52 = 666.

It is a super-2 number, since 2×105045454343522 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10504545434298 and 10504545434307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10504545434351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21946578 + ... + 22420110.

Almost surely, 210504545434352 is an apocalyptic number.

10504545434352 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 10504545434352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14827054158592).

10504545434352 is an abundant number, since it is smaller than the sum of its proper divisors (19149562882832).

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

10504545434352 is a wasteful number, since it uses less digits than its factorization.

10504545434352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474887 (or 474878 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

Adding to 10504545434352 its reverse (25343454540501), we get a palindrome (35847999974853).

The spelling of 10504545434352 in words is "ten trillion, five hundred four billion, five hundred forty-five million, four hundred thirty-four thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 127 144 254 381 508 762 1016 1143 1213 1524 2032 2286 2426 3048 3639 4572 4852 6096 7278 9144 9704 10917 14556 18288 19408 21834 29112 43668 58224 87336 154051 174672 308102 462153 473533 616204 924306 947066 1232408 1386459 1420599 1848612 1894132 2464816 2772918 2841198 3697224 3788264 4261797 5545836 5682396 7394448 7576528 8523594 11091672 11364792 17047188 22183344 22729584 34094376 60138691 68188752 120277382 180416073 240554764 360832146 481109528 541248219 574395529 721664292 962219056 1082496438 1148791058 1443328584 1723186587 2164992876 2297582116 2886657168 3446373174 4329985752 4595164232 5169559761 6892746348 8659971504 9190328464 10339119522 13785492696 20678239044 27570985392 41356478088 72948232183 82712956176 145896464366 218844696549 291792928732 437689393098 583585857464 656534089647 875378786196 1167171714928 1313068179294 1750757572392 2626136358588 3501515144784 5252272717176 10504545434352