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10354354452 = 22321323961943
BaseRepresentation
bin10011010010010101…
…01110100100010100
3222201121112201001100
421221022232210110
5132201203320302
64431241430100
7514406363211
oct115112564424
928647481040
1010354354452
114433843832
12200b79b330
13c90239670
14703244b08
15409056d1c
hex2692ae914

10354354452 has 72 divisors (see below), whose sum is σ = 29412399744. Its totient is φ = 3047432256.

The previous prime is 10354354421. The next prime is 10354354459. The reversal of 10354354452 is 25445345301.

10354354452 is a `hidden beast` number, since 10 + 3 + 54 + 3 + 544 + 52 = 666.

It is a super-3 number, since 3×103543544523 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10354354459) 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, 470208 + ... + 491735.

It is an arithmetic number, because the mean of its divisors is an integer number (408505552).

Almost surely, 210354354452 is an apocalyptic number.

10354354452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10354354452 is an abundant number, since it is smaller than the sum of its proper divisors (19058045292).

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

10354354452 is a wasteful number, since it uses less digits than its factorization.

10354354452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961989 (or 961984 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 10354354452 its reverse (25445345301), we get a palindrome (35799699753).

The spelling of 10354354452 in words is "ten billion, three hundred fifty-four million, three hundred fifty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 36 39 46 52 69 78 92 117 138 156 207 234 276 299 414 468 598 828 897 1196 1794 2691 3588 5382 10764 961943 1923886 2885829 3847772 5771658 8657487 11543316 12505259 17314974 22124689 25010518 34629948 37515777 44249378 50021036 66374067 75031554 88498756 112547331 132748134 150063108 199122201 225094662 265496268 287620957 398244402 450189324 575241914 796488804 862862871 1150483828 1725725742 2588588613 3451451484 5177177226 10354354452